Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
3901	Find dy/dx	cos(y^2)+x=e^y	$\cos (y^{2}) + x = e^{y}$
3902	Find dy/dx	cos(2y)=x	$\cos (2 y) = x$
3903	Find dy/dx	8x^2-10xy+3y^2=26	$8 x^{2} - 10 x y + 3 y^{2} = 26$
3904	Find dy/dx	9x^2-y^2=1	$9 x^{2} - y^{2} = 1$
3905	Find dy/dx	7x+5y^2=1	$7 x + 5 y^{2} = 1$
3906	Find dy/dx	-7xy+3y-7=0	$- 7 x y + 3 y - 7 = 0$
3907	Evaluate the Limit	limit as x approaches 0 of (sin(11x))/(8x)	$lim_{x \to 0} \frac{\sin (11 x)}{8 x}$
3908	Find dy/dx	tan(xy)=x+y	$\tan (x y) = x + y$
3909	Find dy/dx	sin(y)=5x^4-5	$\sin (y) = 5 x^{4} - 5$
3910	Find dy/dx	y=sin(x)^x	$y = {\sin (x)}^{x}$
3911	Find dy/dx	2x^2+y^2=59	$2 x^{2} + y^{2} = 59$
3912	Find dy/dx	16e^y=x^4-y^3	$16 e^{y} = x^{4} - y^{3}$
3913	Find dy/dx	y^2+x^2=16	$y^{2} + x^{2} = 16$
3914	Find dy/dx	y^2+2y+3x=0	$y^{2} + 2 y + 3 x = 0$
3915	Find the Derivative - d/dx	square root of 5x+ square root of 5x+ square root of 5x	$\sqrt{5 x + \sqrt{5 x + \sqrt{5 x}}}$
3916	Find dy/dx	xy^3+xy=8	$x y^{3} + x y = 8$
3917	Find dy/dx	x^3+y^3=12xy	$x^{3} + y^{3} = 12 x y$
3918	Find the Derivative - d/d@VAR	f(x)=9x^3	$f (x) = 9 x^{3}$
3919	Find dy/dx	x^3+y^3=2xy	$x^{3} + y^{3} = 2 x y$
3920	Find dy/dx	x^2y+2x^3y=x+y	$x^{2} y + 2 x^{3} y = x + y$
3921	Evaluate	sin(-pi/2)	$\sin (- \frac{π}{2})$
3922	Find dy/dx	x^2=(4x^2y^3+1)^2	$x^{2} = {(4 x^{2} y^{3} + 1)}^{2}$
3923	Find the Derivative - d/dx	8	$8$
3924	Find dy/dx	tan(x-y)=y/(8+x^2)	$\tan (x - y) = \frac{y}{8 + x^{2}}$
3925	Find dy/dx	(11x+3y)^(1/3)=x^2	${(11 x + 3 y)}^{\frac{1}{3}} = x^{2}$
3926	Find dy/dx	x^2y^3-2xy=6x+y+1	$x^{2} y^{3} - 2 x y = 6 x + y + 1$
3927	Find dy/dx	x^2y^2=100	$x^{2} y^{2} = 100$
3928	Find dy/dx	x^2-y^2=5	$x^{2} - y^{2} = 5$
3929	Find dy/dx	x^2y^2=9	$x^{2} y^{2} = 9$
3930	Find dy/dx	e^(2x)=sin(x+3y)	$e^{2 x} = \sin (x + 3 y)$
3931	Find dy/dx	square root of x+ square root of y=4	$\sqrt{x} + \sqrt{y} = 4$
3932	Find dy/dx	square root of xy=9+x^2y	$\sqrt{x y} = 9 + x^{2} y$
3933	Convert to Interval Notation	x^3<4x	$x^{3} < 4 x$
3934	Find the Integral	xcos(x)	$x \cos (x)$
3935	Find the Integral	2x+1	$2 x + 1$
3936	Factor	6x^2+78x+240	$6 x^{2} + 78 x + 240$
3937	Factor	9x^2+24x+15	$9 x^{2} + 24 x + 15$
3938	Factor	(2x-3)^3(x+1)+(x-3)(2x-3)^2	${(2 x - 3)}^{3} (x + 1) + (x - 3) {(2 x - 3)}^{2}$
3939	Factor	(x^2-1)^2	${(x^{2} - 1)}^{2}$
3940	Find the Asymptotes	f(x)=xe^(-x)	$f (x) = x e^{- x}$
3941	Find the Asymptotes	y=1/(x^2+1)	$y = \frac{1}{x^{2} + 1}$
3942	Find the Asymptotes	y=x/(x^2+16)	$y = \frac{x}{x^{2} + 16}$
3943	Find the Asymptotes	y=3x^(2/3)-2x	$y = 3 x^{\frac{2}{3}} - 2 x$
3944	Factor	-12x^2+72x	$- 12 x^{2} + 72 x$
3945	Factor	12x^2+42x-294	$12 x^{2} + 42 x - 294$
3946	Factor	12x^2-128x+256	$12 x^{2} - 128 x + 256$
3947	Factor	12x^3-12x	$12 x^{3} - 12 x$
3948	Factor	12x^2-64x+64	$12 x^{2} - 64 x + 64$
3949	Factor	12x^2-4	$12 x^{2} - 4$
3950	Factor	x^2+12x+36-9y^2	$x^{2} + 12 x + 36 - 9 y^{2}$
3951	Factor	x^2-5	$x^{2} - 5$
3952	Factor	x^3-3x^2+1	$x^{3} - 3 x^{2} + 1$
3953	Factor	x^3-3x-2	$x^{3} - 3 x - 2$
3954	Factor	3x^2-4x-8	$3 x^{2} - 4 x - 8$
3955	Factor	3x^2-12x+8	$3 x^{2} - 12 x + 8$
3956	Factor	4x^3-12x	$4 x^{3} - 12 x$
3957	Find the Derivative - d/d@VAR	f(x)=x^4-54x^2+13	$f (x) = x^{4} - 54 x^{2} + 13$
3958	Find the Derivative - d/d@VAR	f(x)=x^4-4x^3	$f (x) = x^{4} - 4 x^{3}$
3959	Find the Derivative - d/d@VAR	F(x)=x^5e^x	$F (x) = x^{5} e^{x}$
3960	Find the Derivative - d/d@VAR	f(x)=x^3-12x	$f (x) = x^{3} - 12 x$
3961	Find the Derivative - d/d@VAR	f(x)=x^3-3x+1	$f (x) = x^{3} - 3 x + 1$
3962	Find the Derivative - d/d@VAR	f(x)=e^(x^2)	$f (x) = e^{x^{2}}$
3963	Find the Derivative - d/d@VAR	f(x)=x^2-5x+6	$f (x) = x^{2} - 5 x + 6$
3964	Find the Derivative - d/d@VAR	f(x)=x^(3/2)	$f (x) = x^{\frac{3}{2}}$
3965	Find the Derivative - d/d@VAR	f(x)=x^(4/3)	$f (x) = x^{\frac{4}{3}}$
3966	Find the Derivative - d/d@VAR	f(x)=x^2+4x+7	$f (x) = x^{2} + 4 x + 7$
3967	Find the Derivative - d/d@VAR	f(x)=x/(x-1)	$f (x) = \frac{x}{x - 1}$
3968	Find the Derivative - d/d@VAR	h(x)=8/x-2/(x^3)+1/(x^4)	$h (x) = \frac{8}{x} - \frac{2}{x^{3}} + \frac{1}{x^{4}}$
3969	Find the Derivative - d/d@VAR	f(x)=e^3	$f (x) = e^{3}$
3970	Find the Derivative - d/d@VAR	f(x)=( natural log of x)/(e^x)	$f (x) = \frac{\ln (x)}{e^{x}}$
3971	Find the Derivative - d/d@VAR	f(x)=e^x natural log of x	$f (x) = e^{x} \ln (x)$
3972	Find the Derivative - d/d@VAR	f(x)=e^(cos(x))	$f (x) = e^{\cos (x)}$
3973	Find the Derivative - d/d@VAR	f(x)=e^( square root of x+21)+e^p	$f (x) = e^{\sqrt{x} + 21} + e^{p}$
3974	Find the Derivative - d/d@VAR	f(x)=4^x	$f (x) = 4^{x}$
3975	Find the Derivative - d/d@VAR	f(x)=3/( cube root of x)	$f (x) = \frac{3}{\sqrt[3]{x}}$
3976	Find the Derivative - d/d@VAR	f(x)=( natural log of x)^3	$f (x) = \ln^{3} (x)$
3977	Find the Domain and Range	f(x)=(8x)/(x^2-64)	$f (x) = \frac{8 x}{x^{2} - 64}$
3978	Find the Domain	f(x)=1- square root of x	$f (x) = 1 - \sqrt{x}$
3979	Find the Domain	f(x)=(2x^2-4x+2)/(3x^2-3x-6)	$f (x) = \frac{2 x^{2} - 4 x + 2}{3 x^{2} - 3 x - 6}$
3980	Find the Domain and Range	f(x)=((3e^x)/(e^x-19))	$f (x) = (\frac{3 e^{x}}{e^{x} - 19})$
3981	Find the Domain and Range	f(x)=(x+1)e^x	$f (x) = (x + 1) e^{x}$
3982	Find the Derivative - d/d@VAR	f(x)=2x^2+5x	$f (x) = 2 x^{2} + 5 x$
3983	Find the Derivative - d/d@VAR	f(x)=(x^2+2x)(x+1)	$f (x) = (x^{2} + 2 x) (x + 1)$
3984	Find the Derivative - d/d@VAR	f(u)=2/( square root of u)	$f (u) = \frac{2}{\sqrt{u}}$
3985	Find the Domain	f(x) = square root of 64-x^2	$f (x) = \sqrt{64 - x^{2}}$
3986	Find the Domain	f(x)=2/(x-1)	$f (x) = \frac{2}{x - 1}$
3987	Find the Inverse	f(x)=3+x+e^x	$f (x) = 3 + x + e^{x}$
3988	Find the Inverse	f(x)=4x^3-2x	$f (x) = 4 x^{3} - 2 x$
3989	Find the Inverse	f(x)=e^(2x-1)	$f (x) = e^{2 x - 1}$
3990	Find the Derivative - d/dx	f(x)=x^2(1-2x)	$f (x) = x^{2} (1 - 2 x)$
3991	Find the Horizontal Tangent Line	y=x^3+9x	$y = x^{3} + 9 x$
3992	Find the Derivative - d/dx	f(x) = square root of x+ fifth root of x	$f (x) = \sqrt{x} + \sqrt[5]{x}$
3993	Find the Derivative - d/dx	f(x) = square root of 7x^2-4x+3	$f (x) = \sqrt{7 x^{2} - 4 x + 3}$
3994	Find the Derivative - d/dx	f(x) = square root of 4-x^2	$f (x) = \sqrt{4 - x^{2}}$
3995	Find the Derivative - d/dx	f(x) = log base 4 of x	$f (x) = \log_{4} (x)$
3996	Find the Derivative - d/dx	f(x)=p^2	$f (x) = p^{2}$
3997	Evaluate the Limit	limit as x approaches -1 of (x^2+6x+5)/(x^2-3x-4)	$lim_{x \to - 1} \frac{x^{2} + 6 x + 5}{x^{2} - 3 x - 4}$
3998	Find the Derivative - d/dx	f(x)=6	$f (x) = 6$
3999	Find the Derivative - d/dx	f(x)=5x^4 natural log of x	$f (x) = 5 x^{4} \ln (x)$
4000	Find the Derivative - d/dx	f(x)=4cos(x)+2sin(x)	$f (x) = 4 \cos (x) + 2 \sin (x)$