Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
86501	Find the Tangent Line at (2,15)	y=2x^3-x^2+3 , (2,15)	$y = 2 x^{3} - x^{2} + 3$ , $(2, 15)$
86502	Find the Tangent Line at x=4	f(x)=( natural log of x)^5 at x=4	$f (x) = \ln^{5} (x)$ at $x = 4$
86503	Find the Tangent Line at x=4	f(x)=( natural log of x)^6 at x=4	$f (x) = \ln^{6} (x)$ at $x = 4$
86504	Find the Tangent Line at x=3	f(x)=((x-2)^2-x)^2 at x=3	$f (x) = {({(x - 2)}^{2} - x)}^{2}$ at $x = 3$
86505	Find the Tangent Line at (-7,-2/7)	f(x)=2/x at (-7,-2/7)	$f (x) = \frac{2}{x}$ at $(- 7, - \frac{2}{7})$
86506	Find the Tangent Line at x=-2	f(x)=x^4-10x^2+9 ; x=-2	$f (x) = x^{4} - 10 x^{2} + 9$ ; $x = - 2$
86507	Find the Tangent Line at (4,1)	square root of x+ square root of y=3 , (4,1)	$\sqrt{x} + \sqrt{y} = 3$ , $(4, 1)$
86508	Find the Tangent Line at (2,16)	y=2x^3-x^2+4 , (2,16)	$y = 2 x^{3} - x^{2} + 4$ , $(2, 16)$
86509	Find the Tangent Line at (0,5)	f(x)=5e^xcos(x) , (0,5)	$f (x) = 5 e^{x} \cos (x)$ , $(0, 5)$
86510	Find the Tangent Line at (2,8)	f(x)=x^3 , (2,8)	$f (x) = x^{3}$ , $(2, 8)$
86511	Find the Tangent Line at (7,3/7)	f(x)=3/x at (7,3/7)	$f (x) = \frac{3}{x}$ at $(7, \frac{3}{7})$
86512	Find the Tangent Line at (-7,-3/7)	f(x)=3/x at (-7,-3/7)	$f (x) = \frac{3}{x}$ at $(- 7, - \frac{3}{7})$
86513	Find the Tangent Line at (π/6,3)	y=6sin(x) at the point (pi/6,3)	$y = 6 \sin (x)$ at the point $(\frac{π}{6}, 3)$
86514	Find the Tangent Line at (1,1/e)	y=x^3e^(-x) , (1,1/e)	$y = x^{3} e^{- x}$ , $(1, \frac{1}{e})$
86515	Find the Tangent Line at (-1,-2)	y=x-x^2 , (-1,-2)	$y = x - x^{2}$ , $(- 1, - 2)$
86516	Find the Tangent Line at (2,18)	y=2x^3-x^2+6 , (2,18)	$y = 2 x^{3} - x^{2} + 6$ , $(2, 18)$
86517	Find the Tangent Line at (49,7)	y = square root of x , (49,7)	$y = \sqrt{x}$ , $(49, 7)$
86518	Find the Tangent Line at x=1	f(x)=e^(x^4-1) at x=1	$f (x) = e^{x^{4} - 1}$ at $x = 1$
86519	Find the Tangent Line at (0,1)	f(x)=(6x+1)^2 ;, (0,1)	$f (x) = {(6 x + 1)}^{2}$ ;, $(0, 1)$
86520	Find the Tangent Line at (5,0)	y = natural log of x^2-5x+1 , (5,0)	$y = \ln (x^{2} - 5 x + 1)$ , $(5, 0)$
86521	Find the Tangent Line at (0,1)	y=3x^2+4x+1 at (0,1)	$y = 3 x^{2} + 4 x + 1$ at $(0, 1)$
86522	Find the Tangent Line at (2,17)	y=2x^3-x^2+5 , (2,17)	$y = 2 x^{3} - x^{2} + 5$ , $(2, 17)$
86523	Find the Tangent Line at x=7	f(x)=( natural log of x)^2 at x=7	$f (x) = \ln^{2} (x)$ at $x = 7$
86524	Find the Tangent Line at (2,-3)	y=x^2-4x+1 at (2,-3)	$y = x^{2} - 4 x + 1$ at $(2, - 3)$
86525	Find the Tangent Line at x=8	f(x)=( natural log of x)^2 at x=8	$f (x) = \ln^{2} (x)$ at $x = 8$
86526	Find the Tangent Line at (0,0)	y=xe^(-x^2) , (0,0)	$y = x e^{- x^{2}}$ , $(0, 0)$
86527	Find the Tangent Line at (0,0)	f(x)=5xe^x , (0,0)	$f (x) = 5 x e^{x}$ , $(0, 0)$
86528	Find the Tangent Line at (1,1)	y=1/(x^3) , (1,1)	$y = \frac{1}{x^{3}}$ , $(1, 1)$
86529	Find the Tangent Line at (4,-43/4)	f(x)=-4x^(1/2)+x^-1-3 at the point (4,-43/4)	$f (x) = - 4 x^{\frac{1}{2}} + x^{- 1} - 3$ at the point $(4, - \frac{43}{4})$
86530	Find the Tangent Line at (2,-5)	16x^3+y^3=3 , (2,-5)	$16 x^{3} + y^{3} = 3$ , $(2, - 5)$
86531	Find the Tangent Line at x=3/4⋅π	f(x)=2sin(x) at x=3/4pi	$f (x) = 2 \sin (x)$ at $x = \frac{3}{4} π$
86532	Find the Tangent Line at (-4,20)	f(x)=x^2-x at (-4,20)	$f (x) = x^{2} - x$ at $(- 4, 20)$
86533	Find the Tangent Line at (2,27)	y=3x^3-x^2+7 , (2,27)	$y = 3 x^{3} - x^{2} + 7$ , $(2, 27)$
86534	Find the Tangent Line at x=4	f(x) = square root of 25-x^2 at the point where x=4	$f (x) = \sqrt{25 - x^{2}}$ at the point where $x = 4$
86535	Find the Tangent Line at (0,3)	y=6/(1+e^(-x)) , (0,3)	$y = \frac{6}{1 + e^{- x}}$ , $(0, 3)$
86536	Find the Tangent Line at (4,0)	y = natural log of x^2-4x+1 , (4,0)	$y = \ln (x^{2} - 4 x + 1)$ , $(4, 0)$
86537	Find the Tangent Line at (5,5)	f(x)=(20x)/(x^2-5) ; (5,5)	$f (x) = \frac{20 x}{x^{2} - 5}$ ; $(5, 5)$
86538	Find the Tangent Line at (1,-2)	y=-3x^3- square root of x+2/x ; (1,-2)	$y = - 3 x^{3} - \sqrt{x} + \frac{2}{x}$ ; $(1, - 2)$
86539	Find the Tangent Line at x=2	f(x)=x^3(3-x)^4 ; x=2	$f (x) = x^{3} {(3 - x)}^{4}$ ; $x = 2$
86540	Find the Tangent Line at (1,7)	y=x^4+7x^2-x , (1,7)	$y = x^{4} + 7 x^{2} - x$ , $(1, 7)$
86541	Find the Tangent Line at (1,3)	y=4x-x^2 , (1,3)	$y = 4 x - x^{2}$ , $(1, 3)$
86542	Find the Tangent Line at (2,21)	y=2x^3-x^2+9 , (2,21)	$y = 2 x^{3} - x^{2} + 9$ , $(2, 21)$
86543	Find the Tangent Line at (5,2)	f(x) = square root of x-1 , (5,2)	$f (x) = \sqrt{x - 1}$ , $(5, 2)$
86544	Find the Tangent Line at (1,-3)	y=(-6x)/(x^2+1) at the origin and at the point (1,-3)	$y = \frac{- 6 x}{x^{2} + 1}$ at the origin and at the point $(1, - 3)$
86545	Find the Tangent Line at (3,0)	y = natural log of x^2-8 , (3,0)	$y = \ln (x^{2} - 8)$ , $(3, 0)$
86546	Find the Tangent Line at x=3/4⋅π	f(x)=-3cos(x) at x=3/4pi	$f (x) = - 3 \cos (x)$ at $x = \frac{3}{4} π$
86547	Find the Tangent Line at (π/2,7π)	y=14xsin(x) , (pi/2,7pi)	$y = 14 x \sin (x)$ , $(\frac{π}{2}, 7 π)$
86548	Find the Tangent Line at x=1	f(x)=6- natural log of x ; x=1	$f (x) = 6 - \ln (x)$ ; $x = 1$
86549	Find the Tangent Line at (4,57)	y=x^3-2x+1 , (4,57)	$y = x^{3} - 2 x + 1$ , $(4, 57)$
86550	Find the Tangent Line at (0,9)	y=9e^xcos(x) , (0,9)	$y = 9 e^{x} \cos (x)$ , $(0, 9)$
86551	Find the Tangent Line at (2,2)	2x^2+y^3=5y+3x , (2,2)	$2 x^{2} + y^{3} = 5 y + 3 x$ , $(2, 2)$
86552	Find the Tangent Line at (1/8,8e)	y=(e^(8x))/x , (1/8,8e)	$y = \frac{e^{8 x}}{x}$ , $(\frac{1}{8}, 8 e)$
86553	Find the Tangent Line at x=1/5⋅ln(3)	y=e^(5x) at x=1/5 natural log of 3	$y = e^{5 x}$ at $x = \frac{1}{5} \ln (3)$
86554	Find the Tangent Line at x=4	f(x)=( natural log of x)^2 at x=4	$f (x) = \ln^{2} (x)$ at $x = 4$
86555	Find the Tangent Line at (1,-2)	y=(-4x)/(x^2+1) at the origin and at the point (1,-2)	$y = \frac{- 4 x}{x^{2} + 1}$ at the origin and at the point $(1, - 2)$
86556	Find the Tangent Line at (6,0)	y = natural log of x^2-6x+1 , (6,0)	$y = \ln (x^{2} - 6 x + 1)$ , $(6, 0)$
86557	Find the Tangent Line at (-1,e⁵)	g(x)=e^(x^5-6x) , (-1,e^5)	$g (x) = e^{x^{5} - 6 x}$ , $(- 1, e^{5})$
86558	Find the Tangent Line at (2,23)	y=3x^3-x^2+3 , (2,23)	$y = 3 x^{3} - x^{2} + 3$ , $(2, 23)$
86559	Find the Tangent Line at (1,1)	y=(2x)/(x^2+1) at the origin and at the point (1,1)	$y = \frac{2 x}{x^{2} + 1}$ at the origin and at the point $(1, 1)$
86560	Find the Tangent Line at (1,4)	y=2x^2-2x+4 at (1,4)	$y = 2 x^{2} - 2 x + 4$ at $(1, 4)$
86561	Find the Tangent Line at x=1	f(x)=15-2x^2 at x=1	$f (x) = 15 - 2 x^{2}$ at $x = 1$
86562	Find the Tangent Line at (3,0)	y = natural log of x^2-8 , (3,0)	$y = \ln (x^{2} - 8)$ , $(3, 0)$
86563	Find the Tangent Line at (π/2,4π)	y=8xsin(x) , (pi/2,4pi)	$y = 8 x \sin (x)$ , $(\frac{π}{2}, 4 π)$
86564	Find the Tangent Line at (2,22)	y=3x^3-x^2+2 , (2,22)	$y = 3 x^{3} - x^{2} + 2$ , $(2, 22)$
86565	Find the Tangent Line at (4,4)	f(x)=(12x)/(x^2-4) ; (4,4)	$f (x) = \frac{12 x}{x^{2} - 4}$ ; $(4, 4)$
86566	Find the Tangent Line at (32,8)	f(x) = square root of 2x at (32,8)	$f (x) = \sqrt{2 x}$ at $(32, 8)$
86567	Find the Tangent Line at (2,3)	y=2x^2-5 at (2,3)	$y = 2 x^{2} - 5$ at $(2, 3)$
86568	Find the Tangent Line at (7,0)	y = natural log of x^2-7x+1 , (7,0)	$y = \ln (x^{2} - 7 x + 1)$ , $(7, 0)$
86569	Find the Tangent Line at (π/2,8π)	y=16xsin(x) , (pi/2,8pi)	$y = 16 x \sin (x)$ , $(\frac{π}{2}, 8 π)$
86570	Find the Tangent Line at (3,15)	g(x)=(5x)/(x-2) at (3,15)	$g (x) = \frac{5 x}{x - 2}$ at $(3, 15)$
86571	Find the Tangent Line at (0,4)	y^2e^(2x)-4y-x^2=0 , (0,4)	$y^{2} e^{2 x} - 4 y - x^{2} = 0$ , $(0, 4)$
86572	Find the Tangent Line at (-2,-1/16)	y=1/(2x^3) , (-2,-1/16)	$y = \frac{1}{2 x^{3}}$ , $(- 2, - \frac{1}{16})$
86573	Find the Tangent Line at x=3	f(x)=( natural log of x)^3 at x=3	$f (x) = \ln^{3} (x)$ at $x = 3$
86574	Find the Tangent Line at x=1	f(x)=x^4(3-x)^3 ; x=1	$f (x) = x^{4} {(3 - x)}^{3}$ ; $x = 1$
86575	Find the Tangent Line at (1,2)	8x^2+2y^2=16 , (1,2)	$8 x^{2} + 2 y^{2} = 16$ , $(1, 2)$
86576	Find the Tangent Line at (1,6)	f(x)=7x^2-x^3 , (1,6)	$f (x) = 7 x^{2} - x^{3}$ , $(1, 6)$
86577	Find the Tangent Line at (0,9)	f(x)=9e^xcos(x) , (0,9)	$f (x) = 9 e^{x} \cos (x)$ , $(0, 9)$
86578	Find the Tangent Line at x=8	f(x)=( natural log of x)^3 at x=8	$f (x) = \ln^{3} (x)$ at $x = 8$
86579	Find the Tangent Line at (π/2,π/2)	y=x^(sin(x)) , (pi/2,pi/2)	$y = x^{\sin (x)}$ , $(\frac{π}{2}, \frac{π}{2})$
86580	Find the Tangent Line at x=2	f(x)=(x^2+7)(5x+4) ; x=2	$f (x) = (x^{2} + 7) (5 x + 4)$ ; $x = 2$
86581	Find the Tangent Line at x=11	f(x)=( natural log of x)^2 at x=11	$f (x) = \ln^{2} (x)$ at $x = 11$
86582	Find the Tangent Line at (1/4,4e)	y=(e^(4x))/x , (1/4,4e)	$y = \frac{e^{4 x}}{x}$ , $(\frac{1}{4}, 4 e)$
86583	Find the Tangent Line at (4,20)	g(x)=(5x)/(x-3) at (4,20)	$g (x) = \frac{5 x}{x - 3}$ at $(4, 20)$
86584	Find the Tangent Line at x=5	f(x)=( natural log of x)^4 at x=5	$f (x) = \ln^{4} (x)$ at $x = 5$
86585	Find the Tangent Line at x=10	f(x)=( natural log of x)^5 at x=10	$f (x) = \ln^{5} (x)$ at $x = 10$
86586	Find the Tangent Line at (-5,1/6)	f(x)=-1/(x-1) at (-5,1/6)	$f (x) = - \frac{1}{x - 1}$ at $(- 5, \frac{1}{6})$
86587	Find the Tangent Line at (3,4)	x^2+y^2=25 , (3,4)	$x^{2} + y^{2} = 25$ , $(3, 4)$
86588	Find the Tangent Line at x=1	f(x)=e^(x^5-1) at x=1	$f (x) = e^{x^{5} - 1}$ at $x = 1$
86589	Find the Tangent Line at (1,2)	y=x^4+2x^2-x , (1,2)	$y = x^{4} + 2 x^{2} - x$ , $(1, 2)$
86590	Find the Tangent Line at x=10	f(x)=( natural log of x)^4 at x=10	$f (x) = \ln^{4} (x)$ at $x = 10$
86591	Find the Tangent Line at (3,3)	y = square root of 3x at (3,3)	$y = \sqrt{3 x}$ at $(3, 3)$
86592	Find the Tangent Line at (1,7)	y=8x-x^2 , (1,7)	$y = 8 x - x^{2}$ , $(1, 7)$
86593	Find the Tangent Line at (-2,-1/24)	y=1/(3x^3) , (-2,-1/24)	$y = \frac{1}{3 x^{3}}$ , $(- 2, - \frac{1}{24})$
86594	Find the Tangent Line at (1,5)	f(x)=6x^2-x^3 , (1,5)	$f (x) = 6 x^{2} - x^{3}$ , $(1, 5)$
86595	Find the Tangent Line at x=1	f(x)=8 natural log of x at x=1	$f (x) = 8 \ln (x)$ at $x = 1$
86596	Find the Tangent Line at x=4	f(x)=( natural log of x)^3 at x=4	$f (x) = \ln^{3} (x)$ at $x = 4$
86597	Find the Tangent Line at (2,14)	g(x)=(7x)/(x-1) at (2,14)	$g (x) = \frac{7 x}{x - 1}$ at $(2, 14)$
86598	Find the Tangent Line at x=2	y = cube root of x^2+4 at x=2	$y = \sqrt[3]{x^{2} + 4}$ at $x = 2$
86599	Find the Tangent Line at (9,2/9)	f(x)=2/x at (9,2/9)	$f (x) = \frac{2}{x}$ at $(9, \frac{2}{9})$
86600	Find the Tangent Line at (1,0.1)	y=( square root of x)/(x+9) , (1,0.1)	$y = \frac{\sqrt{x}}{x + 9}$ , $(1, 0.1)$