Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
3701	Find the Derivative of the Integral	integral of x(2x^2+3)^10 with respect to x	$\int x {(2 x^{2} + 3)}^{10} d x$
3702	Find the Derivative of the Integral	integral of (sin( square root of x))/( square root of x) with respect to x	$\int \frac{\sin (\sqrt{x})}{\sqrt{x}} d x$
3703	Find the Derivative of the Integral	integral of (sin(2x))/(sin(x)) with respect to x	$\int \frac{\sin (2 x)}{\sin (x)} d x$
3704	Find the Derivative of the Integral	integral of cos(x)^5 with respect to x	$\int \cos^{5} (x) d x$
3705	Find the Derivative of the Integral	integral from 0 to 6 of square root of 36-x^2 with respect to x	$\int_{0}^{6} \sqrt{36 - x^{2}} d x$
3706	Find the Derivative of the Integral	integral of x^3 with respect to x	$\int x^{3} d x$
3707	Find the Integral	sin(x)	$\sin (x)$
3708	Find dy/dx	x^2+5x+9xy-y^2=4	$x^{2} + 5 x + 9 x y - y^{2} = 4$
3709	Find the Derivative - d/dx	square root of x natural log of x	$\sqrt{x} \ln (x)$
3710	Evaluate the Limit	limit as t approaches infinity of ( square root of t+t^2)/(4t-t^2)	$lim_{t \to \infty} \frac{\sqrt{t} + t^{2}}{4 t - t^{2}}$
3711	Evaluate the Integral	integral of (x-3)/(x^3) with respect to x	$\int \frac{x - 3}{x^{3}} d x$
3712	Find the Derivative - d/dx	6	$6$
3713	Find the Derivative - d/dx	sin(x)^x	${\sin (x)}^{x}$
3714	Find dy/dx	y=(3x-9)/(2x+8)	$y = \frac{3 x - 9}{2 x + 8}$
3715	Find dy/dx	xy=6	$x y = 6$
3716	Evaluate the Limit	limit as x approaches 4 of (x^2-16)/(x^2-5x+4)	$lim_{x \to 4} \frac{x^{2} - 16}{x^{2} - 5 x + 4}$
3717	Evaluate the Integral	integral from 0 to 2 of f(x) with respect to x	$\int_{0}^{2} f (x) d x$
3718	Use the Limit Definition to Find the Derivative	f(x)=1/(x-1)	$f (x) = \frac{1}{x - 1}$
3719	Use the Limit Definition to Find the Derivative	f(x)=x^3	$f (x) = x^{3}$
3720	Use the Limit Definition to Find the Derivative	f(x)=2/x	$f (x) = \frac{2}{x}$
3721	Use the Limit Definition to Find the Derivative	x^3	$x^{3}$
3722	Find the Concavity	f(x)=(x^2)/(x^2+3)	$f (x) = \frac{x^{2}}{x^{2} + 3}$
3723	Find the Concavity	f(x)=x^(1/3)(x+4)	$f (x) = x^{\frac{1}{3}} (x + 4)$
3724	Find the Inflection Points	y=6x^4+8x^3	$y = 6 x^{4} + 8 x^{3}$
3725	Find the Inflection Points	y=x-sin(x)	$y = x - \sin (x)$
3726	Find the Concavity	f(x)=x^4-6x^2	$f (x) = x^{4} - 6 x^{2}$
3727	Find the Concavity	f(x)=x^4-6x^3+2x+8	$f (x) = x^{4} - 6 x^{3} + 2 x + 8$
3728	Find the Inflection Points	f(x)=1/(x^2+7)	$f (x) = \frac{1}{x^{2} + 7}$
3729	Find the Inflection Points	x^4-2x^2	$x^{4} - 2 x^{2}$
3730	Find the Inflection Points	x^4-4x^3+10	$x^{4} - 4 x^{3} + 10$
3731	Find the Inflection Points	-x^6+42x^5-42x+19	$- x^{6} + 42 x^{5} - 42 x + 19$
3732	Find the Inflection Points	(x^2)/(x^2+3)	$\frac{x^{2}}{x^{2} + 3}$
3733	Find the Inflection Points	f(x)=x^3+6x^2+9x	$f (x) = x^{3} + 6 x^{2} + 9 x$
3734	Find the Inflection Points	f(x)=x/(4x^2-1)	$f (x) = \frac{x}{4 x^{2} - 1}$
3735	Find the Inflection Points	f(x)=x^4-4x^3+5	$f (x) = x^{4} - 4 x^{3} + 5$
3736	Find the Inflection Points	f(x)=x^4-4x^3+10	$f (x) = x^{4} - 4 x^{3} + 10$
3737	Find the Inflection Points	f(x)=3x^4+4x^3	$f (x) = 3 x^{4} + 4 x^{3}$
3738	Find the Inflection Points	f(x)=4x^3-12x	$f (x) = 4 x^{3} - 12 x$
3739	Find the Critical Points	y=-x^3+x^2+8x+1	$y = - x^{3} + x^{2} + 8 x + 1$
3740	Find the Critical Points	y=x^3-3x^2-72x	$y = x^{3} - 3 x^{2} - 72 x$
3741	Find the Critical Points	y=x^3-4x^2-16x+5	$y = x^{3} - 4 x^{2} - 16 x + 5$
3742	Find the Critical Points	g(x)=x^7-7x^5	$g (x) = x^{7} - 7 x^{5}$
3743	Find the Critical Points	y=x(x-2)	$y = x (x - 2)$
3744	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^3-3x+1	$f (x) = x^{3} - 3 x + 1$
3745	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^3+18x^2+2	$f (x) = x^{3} + 18 x^{2} + 2$
3746	Find Where Increasing/Decreasing Using Derivatives	f(x)=1/4x^4-2x^2	$f (x) = \frac{1}{4} x^{4} - 2 x^{2}$
3747	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^4-32x^2	$f (x) = x^{4} - 32 x^{2}$
3748	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^4-4x^3+10	$f (x) = x^{4} - 4 x^{3} + 10$
3749	Find Where dy/dx is Equal to Zero	x=sec(1/y)	$x = \sec (\frac{1}{y})$
3750	Graph	((x-0)^2)/(5^2)+((y-0)^2)/(3^2)=1	$\frac{{(x - 0)}^{2}}{5^{2}} + \frac{{(y - 0)}^{2}}{3^{2}} = 1$
3751	Find the Horizontal Tangent Line	y=x^2+3	$y = x^{2} + 3$
3752	Find the Horizontal Tangent Line	y=2x^3+3x^2-12x+1	$y = 2 x^{3} + 3 x^{2} - 12 x + 1$
3753	Find the Horizontal Tangent Line	y=2+8x-x^2	$y = 2 + 8 x - x^{2}$
3754	Find the Horizontal Tangent Line	y=3x^2+4x	$y = 3 x^{2} + 4 x$
3755	Find the Derivative - d/dx	y=6 square root of x	$y = 6 \sqrt{x}$
3756	Find the Horizontal Tangent Line	x^2+y^2=14x	$x^{2} + y^{2} = 14 x$
3757	Find the Domain and Range	f(x)=x+5	$f (x) = x + 5$
3758	Find the Domain and Range	f(x) = natural log of x-3	$f (x) = \ln (x - 3)$
3759	Determine if the Point is on the Graph	f(x)=(x-1)^2 , (-5,3)	$f (x) = {(x - 1)}^{2}$ , $(- 5, 3)$
3760	Find dy/dx	x^2y^2-9x^2-4y^2=0	$x^{2} y^{2} - 9 x^{2} - 4 y^{2} = 0$
3761	Evaluate	cube root of 1.1	$\sqrt[3]{1.1}$
3762	Evaluate	sin(-pi/6)	$\sin (- \frac{π}{6})$
3763	Evaluate	-cos(pi)	$- \cos (π)$
3764	Evaluate	sin(2(0))	$\sin (2 (0))$
3765	Evaluate	cos(-1)	$\cos (- 1)$
3766	Find the Critical Points	f(x)=x^3-6x^2+15	$f (x) = x^{3} - 6 x^{2} + 15$
3767	Find the Critical Points	f(x)=x^2-4x	$f (x) = x^{2} - 4 x$
3768	Evaluate the Limit	limit as t approaches -3 of (t^2-9)/(2t^2+7t+3)	$lim_{t \to - 3} \frac{t^{2} - 9}{2 t^{2} + 7 t + 3}$
3769	Find the Critical Points	f(x)=(x^2)/(x+1)	$f (x) = \frac{x^{2}}{x + 1}$
3770	Find the Critical Points	f(x)=3x^4+4x^3	$f (x) = 3 x^{4} + 4 x^{3}$
3771	Find the Critical Points	f(x)=3x^5-20x^3	$f (x) = 3 x^{5} - 20 x^{3}$
3772	Find the Critical Points	f(x)=3x^2+2x^3	$f (x) = 3 x^{2} + 2 x^{3}$
3773	Find the Critical Points	f(x)=3x^3-36x	$f (x) = 3 x^{3} - 36 x$
3774	Find the Critical Points	f(x)=2x^3-3x^2-12x+5	$f (x) = 2 x^{3} - 3 x^{2} - 12 x + 5$
3775	Find the Critical Points	f(x)=2x^3-24x	$f (x) = 2 x^{3} - 24 x$
3776	Evaluate	500/3	$\frac{500}{3}$
3777	Evaluate	52/p	$\frac{52}{p}$
3778	Evaluate	-csc(pi/2)^2	$- \csc^{2} (\frac{π}{2})$
3779	Evaluate	14412-1/312^3	$144 \cdot 12 - \frac{1}{3} \cdot 12^{3}$
3780	Find Where Undefined/Discontinuous	f(x)=(x+3)/(x^2+9)	$f (x) = \frac{x + 3}{x^{2} + 9}$
3781	Find the Tangent Line at x=4	f(x)=x^2+5x , x=4	$f (x) = x^{2} + 5 x$ , $x = 4$
3782	Graph	x/(x-3)	$\frac{x}{x - 3}$
3783	Graph	2x^3-3x^2-36x+5	$2 x^{3} - 3 x^{2} - 36 x + 5$
3784	Graph	4x^2+y^2-8x+4y+4=0	$4 x^{2} + y^{2} - 8 x + 4 y + 4 = 0$
3785	Find the Derivative - d/d?	y=sec(theta)tan(theta)	$y = \sec (θ) \tan (θ)$
3786	Graph	f(x) = natural log of x^2+25	$f (x) = \ln (x^{2} + 25)$
3787	Graph	f(x)=sin(x)+cos(x)	$f (x) = \sin (x) + \cos (x)$
3788	Graph	f(x)=x^3-12x+1	$f (x) = x^{3} - 12 x + 1$
3789	Graph	f(x)=x/(x-1)	$f (x) = \frac{x}{x - 1}$
3790	Graph	y=e^(-x^2)	$y = e^{- x^{2}}$
3791	Solve over the Interval	y=100-x^2 , [-10,10]	$y = 100 - x^{2}$ , $[- 10, 10]$
3792	Solve over the Interval	cos(2x)+sin(x)=1 , [0,2pi)	$\cos (2 x) + \sin (x) = 1$ , $[0, 2 π)$
3793	Find the Asymptotes	f(x)=(2x^3-3x-9)/(9x^3-5x^2+3)	$f (x) = \frac{2 x^{3} - 3 x - 9}{9 x^{3} - 5 x^{2} + 3}$
3794	Find the Asymptotes	f(x)=(2x^2)/(x^2-16)	$f (x) = \frac{2 x^{2}}{x^{2} - 16}$
3795	Find the Asymptotes	f(x)=(x^2+2x-3)/(x^2+4x-5)	$f (x) = \frac{x^{2} + 2 x - 3}{x^{2} + 4 x - 5}$
3796	Find dy/dx	y=x^4	$y = x^{4}$
3797	Find dy/dx	y=x^(cos(x))	$y = x^{\cos (x)}$
3798	Find dy/dx	y=6x-4cos(3x)	$y = 6 x - 4 \cos (3 x)$
3799	Find dy/dx	y=x^( square root of x)	$y = x^{\sqrt{x}}$
3800	Find dy/dx	y=x^2y^3+x^3y^2	$y = x^{2} y^{3} + x^{3} y^{2}$