Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
86601	Find the Tangent Line at (2,0)	y = natural log of x^2-3 , (2,0)	$y = \ln (x^{2} - 3)$ , $(2, 0)$
86602	Find the Tangent Line at (2,2)	f(x)=x^2-2 at (2,2)	$f (x) = x^{2} - 2$ at $(2, 2)$
86603	Find the Tangent Line at (-1,-9)	y=-2x^2+3x-4 at (-1,-9)	$y = - 2 x^{2} + 3 x - 4$ at $(- 1, - 9)$
86604	Find the Tangent Line at (-1,-3)	g(x)=(6x)/(x+3) at (-1,-3)	$g (x) = \frac{6 x}{x + 3}$ at $(- 1, - 3)$
86605	Find the Tangent Line at (-1,-4)	y=(8x)/(x^2+1) at the origin and at the point (-1,-4)	$y = \frac{8 x}{x^{2} + 1}$ at the origin and at the point $(- 1, - 4)$
86606	Find the Tangent Line at (1,4)	y=(8x)/(x^2+1) , (1,4)	$y = \frac{8 x}{x^{2} + 1}$ , $(1, 4)$
86607	Find the Tangent Line at x=π/4	f(x)=-3cos(x)-2+(3 square root of 2pi)/8+(3 square root of 2)/2 at x=pi/4	$f (x) = - 3 \cos (x) - 2 + \frac{3 \sqrt{2} π}{8} + \frac{3 \sqrt{2}}{2}$ at $x = \frac{π}{4}$
86608	Find the Tangent Line at (1,2)	y=2x^3-x^2+1 , (1,2)	$y = 2 x^{3} - x^{2} + 1$ , $(1, 2)$
86609	Find the Tangent Line at (2,24)	y=3x^3-x^2+4 , (2,24)	$y = 3 x^{3} - x^{2} + 4$ , $(2, 24)$
86610	Find the Tangent Line at (0,5)	y=10/(1+e^(-x)) , (0,5)	$y = \frac{10}{(1 + e^{- x})}$ , $(0, 5)$
86611	Find the Tangent Line at (π/2,7π)	y=14xsin(x) , (pi/2,7pi)	$y = 14 x \sin (x)$ , $(\frac{π}{2}, 7 π)$
86612	Find the Tangent Line at x=-3	f(x)=-x^3-3x^2-3 at x=-3	$f (x) = - x^{3} - 3 x^{2} - 3$ at $x = - 3$
86613	Find the Tangent Line at (1,0)	x^2-xy-y^2=1 , (1,0)	$x^{2} - x y - y^{2} = 1$ , $(1, 0)$
86614	Find the Tangent Line at (2,1/8)	y=1/(x^3) , (2,1/8)	$y = \frac{1}{x^{3}}$ , $(2, \frac{1}{8})$
86615	Find the Tangent Line at (2,2)	x^4+5y^2=36 , (2,2)	$x^{4} + 5 y^{2} = 36$ , $(2, 2)$
86616	Find the Tangent Line at x=4/9	f(x) = square root of x , x=4/9	$f (x) = \sqrt{x}$ , $x = \frac{4}{9}$
86617	Find the Tangent Line at (4,5/2)	f(x) = square root of x+1/( square root of x) ; (4,5/2)	$f (x) = \sqrt{x} + \frac{1}{\sqrt{x}}$ ; $(4, \frac{5}{2})$
86618	Find the Tangent Line at (-4,3)	x^2-y^2-3x-19=0 , (-4,3)	$x^{2} - y^{2} - 3 x - 19 = 0$ , $(- 4, 3)$
86619	Find the Tangent Line at (2,5)	y=x^3-2x+1 , (2,5)	$y = x^{3} - 2 x + 1$ , $(2, 5)$
86620	Find the Tangent Line at (-1,0)	f(x)=1/2x natural log of x^2 , (-1,0)	$f (x) = \frac{1}{2} x \ln (x^{2})$ , $(- 1, 0)$
86621	Find the Tangent Line at (3,-4)	x^2+y^2=25 , (3,-4)	$x^{2} + y^{2} = 25$ , $(3, - 4)$
86622	Find the Tangent Line at x=1	f(x)=e^(x^3-1) at x=1	$f (x) = e^{x^{3} - 1}$ at $x = 1$
86623	Find the Tangent Line at (π/2,2π)	y=4xsin(x) , (pi/2,2pi)	$y = 4 x \sin (x)$ , $(\frac{π}{2}, 2 π)$
86624	Find the Tangent Line at x=3	f(x)=( natural log of x)^2 at x=3	$f (x) = \ln^{2} (x)$ at $x = 3$
86625	Find the Tangent Line at x=2	f(x)=x^6 , x=2	$f (x) = x^{6}$ , $x = 2$
86626	Find the Tangent Line at (2,5)	f(x)=x^2+1 , (2,5)	$f (x) = x^{2} + 1$ , $(2, 5)$
86627	Find the Tangent Line at (-8,-1/4)	f(x)=2/x at (-8,-1/4)	$f (x) = \frac{2}{x}$ at $(- 8, - \frac{1}{4})$
86628	Find the Tangent Line at x=2	f(x)=x^2-3 at x=2	$f (x) = x^{2} - 3$ at $x = 2$
86629	Find the Tangent Line at (π/2,6π)	y=12xsin(x) , (pi/2,6pi)	$y = 12 x \sin (x)$ , $(\frac{π}{2}, 6 π)$
86630	Find the Tangent Line at (π/6,4)	y=8sin(x) at the point (pi/6,4)	$y = 8 \sin (x)$ at the point $(\frac{π}{6}, 4)$
86631	Find the Tangent Line at (0,3)	y=6/(1+e^(-x)) , (0,3)	$y = \frac{6}{(1 + e^{- x})}$ , $(0, 3)$
86632	Find the Tangent Line at (2,20)	y=2x^3-x^2+8 , (2,20)	$y = 2 x^{3} - x^{2} + 8$ , $(2, 20)$
86633	Find the Tangent Line at (π/2,3π)	y=6xsin(x) , (pi/2,3pi)	$y = 6 x \sin (x)$ , $(\frac{π}{2}, 3 π)$
86634	Find the Tangent Line at (1,9)	y=x^4+9x^2-x , (1,9)	$y = x^{4} + 9 x^{2} - x$ , $(1, 9)$
86635	Find the Tangent Line at x=6	f(x)=( natural log of x)^3 at x=6	$f (x) = \ln^{3} (x)$ at $x = 6$
86636	Find the Tangent Line at (-8,-1/2)	f(x)=4/x at (-8,-1/2)	$f (x) = \frac{4}{x}$ at $(- 8, - \frac{1}{2})$
86637	Find the Tangent Line at (3,7)	y=3x^2-7x+1 , (3,7)	$y = 3 x^{2} - 7 x + 1$ , $(3, 7)$
86638	Find the Tangent Line at (-9,-4/9)	f(x)=4/x at (-9,-4/9)	$f (x) = \frac{4}{x}$ at $(- 9, - \frac{4}{9})$
86639	Find the Tangent Line at x=0	f(x)=(-5x^2+5x-2)(-2x+3) , x=0	$f (x) = (- 5 x^{2} + 5 x - 2) (- 2 x + 3)$ , $x = 0$
86640	Find the Tangent Line at x=1	f(x)=e^(x^2-1) at x=1	$f (x) = e^{x^{2} - 1}$ at $x = 1$
86641	Find the Tangent Line at x=7	f(x)=( natural log of x)^3 at x=7	$f (x) = \ln^{3} (x)$ at $x = 7$
86642	Find the Tangent Line at x=1	y=x^4-3x^2+8 at x=1	$y = x^{4} - 3 x^{2} + 8$ at $x = 1$
86643	Find the Tangent Line at (4,4)	y=2 square root of x , (4,4)	$y = 2 \sqrt{x}$ , $(4, 4)$
86644	Find the Tangent Line at (32,8)	y = square root of 2x at (32,8)	$y = \sqrt{2 x}$ at $(32, 8)$
86645	Find the Tangent Line at (-2,1)	y^2=x^3-6x-3 at (-2,1)	$y^{2} = x^{3} - 6 x - 3$ at $(- 2, 1)$
86646	Find the Tangent Line at (3,-4)	x^2+y^2=25 , (3,-4)	$x^{2} + y^{2} = 25$ , $(3, - 4)$
86647	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 $(- 1, - 3)$
86648	Find the Tangent Line at (-2,-1/8)	y=1/(x^3) , (-2,-1/8)	$y = \frac{1}{x^{3}}$ , $(- 2, - \frac{1}{8})$
86649	Find the Tangent Line at (8,4)	f(x) = square root of 2x at (8,4)	$f (x) = \sqrt{2 x}$ at $(8, 4)$
86650	Find the Tangent Line at (4,-8)	y=(x+4)/(x-5) , (4,-8)	$y = \frac{x + 4}{x - 5}$ , $(4, - 8)$
86651	Find the Tangent Line at (0,7)	y=14/(1+e^(-x)) , (0,7)	$y = \frac{14}{(1 + e^{- x})}$ , $(0, 7)$
86652	Find the Tangent Line at (9,4/9)	f(x)=4/x at (9,4/9)	$f (x) = \frac{4}{x}$ at $(9, \frac{4}{9})$
86653	Find the Tangent Line at (9,1)	square root of x+ square root of y=4 , (9,1)	$\sqrt{x} + \sqrt{y} = 4$ , $(9, 1)$
86654	Find the Tangent Line at (6,14)	g(x)=(7x)/(x-3) at (6,14)	$g (x) = \frac{7 x}{x - 3}$ at $(6, 14)$
86655	Find the Tangent Line at (4,2)	f(x) = square root of x , (4,2)	$f (x) = \sqrt{x}$ , $(4, 2)$
86656	Find the Tangent Line at x=4	f(x) = square root of x , x=4	$f (x) = \sqrt{x}$ , $x = 4$
86657	Find the Tangent Line at (2,1/16)	y=1/(2x^3) , (2,1/16)	$y = \frac{1}{2 x^{3}}$ , $(2, \frac{1}{16})$
86658	Find the Tangent Line at (4,4)	(x+2)^2+(y-3)^2=37 , (4,4)	${(x + 2)}^{2} + {(y - 3)}^{2} = 37$ , $(4, 4)$
86659	Find the Tangent Line at (5,8)	f(x) = square root of 5x+39 , (5,8)	$f (x) = \sqrt{5 x + 39}$ , $(5, 8)$
86660	Find the Tangent Line at (1,2)	y = square root of x^3+3 at (1,2)	$y = \sqrt{x^{3} + 3}$ at $(1, 2)$
86661	Find the Tangent Line at (8,1/2)	f(x)=4/x at (8,1/2)	$f (x) = \frac{4}{x}$ at $(8, \frac{1}{2})$
86662	Find the Tangent Line at (π/2,2π)	y=4xsin(x) , (pi/2,2pi)	$y = 4 x \sin (x)$ , $(\frac{π}{2}, 2 π)$
86663	Find the Tangent Line at (1,1)	f(x)=x^3 , (1,1)	$f (x) = x^{3}$ , $(1, 1)$
86664	Find the Tangent Line at x=1/3⋅ln(5)	y=e^(3x) at x=1/3 natural log of 5	$y = e^{3 x}$ at $x = \frac{1}{3} \ln (5)$
86665	Find the Tangent Line at x=7	f(x)=( natural log of x)^4 at x=7	$f (x) = \ln^{4} (x)$ at $x = 7$
86666	Find the Tangent Line at x=π	f(x)=xsin(10x) at x=pi	$f (x) = x \sin (10 x)$ at $x = π$
86667	Find the Tangent Line at (1,1/5)	y=(x^2)/(4+x) , (1,1/5)	$y = \frac{x^{2}}{4 + x}$ , $(1, \frac{1}{5})$
86668	Find the Tangent Line at (4,19)	f(x)=x^2+3 at (4,19)	$f (x) = x^{2} + 3$ at $(4, 19)$
86669	Find the Tangent Line at x=8	f(x)=( natural log of x)^4 at x=8	$f (x) = \ln^{4} (x)$ at $x = 8$
86670	Find the Tangent Line at (π/2,6π)	y=12xsin(x) , (pi/2,6pi)	$y = 12 x \sin (x)$ , $(\frac{π}{2}, 6 π)$
86671	Find the Tangent Line at (3,4)	x^2+2xy-y^2+x=20 , (3,4)	$x^{2} + 2 x y - y^{2} + x = 20$ , $(3, 4)$
86672	Find the Tangent Line at (25,10)	y=2 square root of x , (25,10)	$y = 2 \sqrt{x}$ , $(25, 10)$
86673	Find the Tangent Line at x=4	f(x) = square root of x ; x=4	$f (x) = \sqrt{x}$ ; $x = 4$
86674	Find the Tangent Line at x=1	f(x)=2x+3 at x=1	$f (x) = 2 x + 3$ at $x = 1$
86675	Find the Tangent Line at (18,6)	y = square root of 2x at (18,6)	$y = \sqrt{2 x}$ at $(18, 6)$
86676	Find the Tangent Line at x=2	y=x^2 at x=2	$y = x^{2}$ at $x = 2$
86677	Find the Tangent Line at (0,4)	y=x^4+4e^x , (0,4)	$y = x^{4} + 4 e^{x}$ , $(0, 4)$
86678	Find the Tangent Line at x=2	f(x)=( natural log of x)^2 at x=2	$f (x) = \ln^{2} (x)$ at $x = 2$
86679	Find the Tangent Line at (0,8)	f(x)=8e^xcos(x) , (0,8)	$f (x) = 8 e^{x} \cos (x)$ , $(0, 8)$
86680	Find the Tangent Line at (2,2)	f(x) = square root of 2x at (2,2)	$f (x) = \sqrt{2 x}$ at $(2, 2)$
86681	Find the Tangent Line at (3,0)	f(x)=9-x^2 , (3,0)	$f (x) = 9 - x^{2}$ , $(3, 0)$
86682	Find the Tangent Line at (-2,4)	f(x)=2x^2+2x , (-2,4)	$f (x) = 2 x^{2} + 2 x$ , $(- 2, 4)$
86683	Find the Tangent Line at (π/2,4π)	y=8xsin(x) , (pi/2,4pi)	$y = 8 x \sin (x)$ , $(\frac{π}{2}, 4 π)$
86684	Find the Tangent Line at (0,6)	y=x^4+6e^x , (0,6)	$y = x^{4} + 6 e^{x}$ , $(0, 6)$
86685	Find the Tangent Line at x=π	y=2-sin(x) at x=pi	$y = 2 - \sin (x)$ at $x = π$
86686	Find the Tangent Line at (7,7)	f(x) = square root of 7x at (7,7)	$f (x) = \sqrt{7 x}$ at $(7, 7)$
86687	Find the Tangent Line at (4,2√(3))	x^2y^2-9x^2-4y^2=0 , (4,2 square root of 3)	$x^{2} y^{2} - 9 x^{2} - 4 y^{2} = 0$ , $(4, 2 \sqrt{3})$
86688	Find the Tangent Line at x=5	f(x) = square root of x+4 at x=5	$f (x) = \sqrt{x + 4}$ at $x = 5$
86689	Find the Tangent Line at x=6	f(x)=( natural log of x)^5 at x=6	$f (x) = \ln^{5} (x)$ at $x = 6$
86690	Find the Tangent Line at (2,14)	y=2x^3-x^2+2 , (2,14)	$y = 2 x^{3} - x^{2} + 2$ , $(2, 14)$
86691	Find the Tangent Line at (-1,-1/2)	y=1/(2x^3) , (-1,-1/2)	$y = \frac{1}{2 x^{3}}$ , $(- 1, - \frac{1}{2})$
86692	Find the Tangent Line at x=5	f(x)=( natural log of x)^3 at x=5	$f (x) = \ln^{3} (x)$ at $x = 5$
86693	Find the Tangent Line at x=1	f(x)=2+ natural log of x ; x=1	$f (x) = 2 + \ln (x)$ ; $x = 1$
86694	Find the Tangent Line at x=11	f(x)=( natural log of x)^5 at x=11	$f (x) = \ln^{5} (x)$ at $x = 11$
86695	Find the Tangent Line at x=1/4⋅ln(5)	y=e^(4x) at x=1/4 natural log of 5	$y = e^{4 x}$ at $x = \frac{1}{4} \ln (5)$
86696	Find the Tangent Line at (2,2)	y=(\|x\|)/( square root of 5-x^2) , (2,2)	$y = \frac{\| x \|}{\sqrt{5 - x^{2}}}$ , $(2, 2)$
86697	Find the Tangent Line at (-1,1)	y = square root of 2+x^3 , (-1,1)	$y = \sqrt{2 + x^{3}}$ , $(- 1, 1)$
86698	Find the Tangent Line at (0,1)	f(x)=(5x+1)^2 ;, (0,1)	$f (x) = {(5 x + 1)}^{2}$ ;, $(0, 1)$
86699	Find the Tangent Line at (0,1)	y=3^x , (0,1)	$y = 3^{x}$ , $(0, 1)$
86700	Find the Tangent Line at x=6	f(x)=( natural log of x)^4 at x=6	$f (x) = \ln^{4} (x)$ at $x = 6$