Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
59901	Find the Fourth Derivative	cos(x)	$\cos (x)$
59902	Find the Local Maxima and Minima	3x^4-16x^3+24x^2+10	$3 x^{4} - 16 x^{3} + 24 x^{2} + 10$
59903	Find Where Increasing/Decreasing Using Derivatives	x^3e^(-4x)	$x^{3} e^{- 4 x}$
59904	Find Where Increasing/Decreasing Using Derivatives	x^4-4x^3+10	$x^{4} - 4 x^{3} + 10$
59905	Find Where Increasing/Decreasing Using Derivatives	2x^3+3x^2-336x	$2 x^{3} + 3 x^{2} - 336 x$
59906	Find the Second Derivative	x^2+y^2=9	$x^{2} + y^{2} = 9$
59907	Find the Area Between the Curves	x=-2 , x=1 , y=6x , y=x^2-7	$x = - 2$ , $x = 1$ , $y = 6 x$ , $y = x^{2} - 7$
59908	Find the Area Between the Curves	y=9-x^2 , y=0	$y = 9 - x^{2}$ , $y = 0$
59909	Find the Area Under the Curve	y=8/x ; [1,6]	$y = \frac{8}{x}$ ; $[1, 6]$
59910	Find the Area Under the Curve	y=9/x ; [1,6]	$y = \frac{9}{x}$ ; $[1, 6]$
59911	Find the Area Under the Curve	y=9/x ; [1,10]	$y = \frac{9}{x}$ ; $[1, 10]$
59912	Find the Area Under the Curve	y=2/x ; [1,10]	$y = \frac{2}{x}$ ; $[1, 10]$
59913	Find the Inflection Points	f(x)=x^(1/7)(x+8)	$f (x) = x^{\frac{1}{7}} (x + 8)$
59914	Find the Inflection Points	f(x)=-3x^4+24x^3-48x^2	$f (x) = - 3 x^{4} + 24 x^{3} - 48 x^{2}$
59915	Find the Antiderivative	h(z)=9/z	$h (z) = \frac{9}{z}$
59916	Find the Antiderivative	f(x)=x^5	$f (x) = x^{5}$
59917	Find the Antiderivative	f(x)=7x	$f (x) = 7 x$
59918	Find the Antiderivative	f(x)=2x^3	$f (x) = 2 x^{3}$
59919	Find the Antiderivative	f(x)=(x^5-x^3+6x)/(x^4)	$f (x) = \frac{x^{5} - x^{3} + 6 x}{x^{4}}$
59920	Find the Derivative - d/dt	(4t)/( cube root of t^2+3)	$\frac{4 t}{\sqrt[3]{t^{2} + 3}}$
59921	Find the Derivative - d/dt	8 square root of t	$8 \sqrt{t}$
59922	Find the Derivative - d/dt	arccsc(-2t^2)	$arccsc (- 2 t^{2})$
59923	Find the Derivative - d/dt	10( square root of 1+t^4-1)	$10 (\sqrt{1 + t^{4}} - 1)$
59924	Find the Derivative - d/dt	e^(-5t)	$e^{- 5 t}$
59925	Find the Derivative - d/dy	xy^3	$x y^{3}$
59926	Find Where Increasing/Decreasing Using Derivatives	f(x)=xe^(-x^2)	$f (x) = x e^{- x^{2}}$
59927	Find Where Increasing/Decreasing Using Derivatives	f(x)=2x^3-6x	$f (x) = 2 x^{3} - 6 x$
59928	Find Where Increasing/Decreasing Using Derivatives	f(x)=3x^4-4x^3-12x^2+5	$f (x) = 3 x^{4} - 4 x^{3} - 12 x^{2} + 5$
59929	Find the Vertices	9x^2-4y^2=36	$9 x^{2} - 4 y^{2} = 36$
59930	Evaluate Using L'Hospital's Rule	limit as x approaches pi of (8cos(x)+8)/((x-pi)^2)	$lim_{x \to π} \frac{8 \cos (x) + 8}{{(x - π)}^{2}}$
59931	Find the Critical Points	f(x)=x^3-3x-2	$f (x) = x^{3} - 3 x - 2$
59932	Find the Critical Points	h(t)=t^(3/4)-9t^(1/4)	$h (t) = t^{\frac{3}{4}} - 9 t^{\frac{1}{4}}$
59933	Find the Critical Points	f(x)=xe^(-3x)	$f (x) = x e^{- 3 x}$
59934	Solve for t	e^t=1000	$e^{t} = 1000$
59935	Solve for z	square root of z^2+2z-3=z-3	$\sqrt{z^{2} + 2 z - 3} = z - 3$
59936	Find the Inflection Points	y=x^3-3x^2-45x	$y = x^{3} - 3 x^{2} - 45 x$
59937	Find the Third Derivative	1/(x^2)	$\frac{1}{x^{2}}$
59938	Find dy/dt	y=tan( square root of 3t)	$y = \tan (\sqrt{3 t})$
59939	Find the Concavity	x/(x^2-9)	$\frac{x}{x^{2} - 9}$
59940	Find Where Increasing/Decreasing Using Derivatives	e^(2x)+e^(-x)	$e^{2 x} + e^{- x}$
59941	Find the Critical Points	cube root of x	$\sqrt[3]{x}$
59942	Find the Concavity	f(x)=3x^4-18x^2	$f (x) = 3 x^{4} - 18 x^{2}$
59943	Find the Concavity	f(x)=2x^3+3x^2-36x	$f (x) = 2 x^{3} + 3 x^{2} - 36 x$
59944	Find the Derivative of the Integral	integral from 1 to x of 1/t with respect to t	$\int_{1}^{x} \frac{1}{t} d t$
59945	Find the Area Between the Curves	y=6x-x^2 , y=x	$y = 6 x - x^{2}$ , $y = x$
59946	Find the Area Between the Curves	y=x^(6/5) , y=4x^(1/5)	$y = x^{\frac{6}{5}}$ , $y = 4 x^{\frac{1}{5}}$
59947	Find the Area Between the Curves	y=4x+12 , y=x^2	$y = 4 x + 12$ , $y = x^{2}$
59948	Find the Area Between the Curves	x=-2 , x=2 , y=6x , y=x^2-7	$x = - 2$ , $x = 2$ , $y = 6 x$ , $y = x^{2} - 7$
59949	Find the Area Between the Curves	x=-2 , x=2 , y=10x , y=x^2-11	$x = - 2$ , $x = 2$ , $y = 10 x$ , $y = x^{2} - 11$
59950	Find the Area Between the Curves	y=x^2-41 , y=7-2x	$y = x^{2} - 41$ , $y = 7 - 2 x$
59951	Find the Area Between the Curves	y=x^2-35 , y=13-2x	$y = x^{2} - 35$ , $y = 13 - 2 x$
59952	Find the Area Between the Curves	y=x^3 , y=9x	$y = x^{3}$ , $y = 9 x$
59953	Divide	1372/3	$\frac{1372}{3}$
59954	Divide	54/6	$\frac{54}{6}$
59955	Divide	96/4	$\frac{96}{4}$
59956	Find the Inflection Points	f(x)=-3x^5+5x^3	$f (x) = - 3 x^{5} + 5 x^{3}$
59957	Find the Inflection Points	f(x)=3x^5-20x^3	$f (x) = 3 x^{5} - 20 x^{3}$
59958	Find the Inflection Points	f(x)=2x^3+3x^2-336x	$f (x) = 2 x^{3} + 3 x^{2} - 336 x$
59959	Find the Area Under the Curve	y=x^3 ; [0,3]	$y = x^{3}$ ; $[0, 3]$
59960	Find the Area Under the Curve	y=x^2-6x+9 ; [2,4]	$y = x^{2} - 6 x + 9$ ; $[2, 4]$
59961	Find the Area Under the Curve	y=x^2 ; [1,3]	$y = x^{2}$ ; $[1, 3]$
59962	Find the Inflection Points	x/(x^2-9)	$\frac{x}{x^{2} - 9}$
59963	Find the Local Maxima and Minima	f(x)=-x^3-4.5x^2+12x+4	$f (x) = - x^{3} - 4.5 x^{2} + 12 x + 4$
59964	Find the Local Maxima and Minima	f(x)=x^3-12x-5	$f (x) = x^{3} - 12 x - 5$
59965	Find Where Increasing/Decreasing Using Derivatives	g(x)=x square root of 8-x^2	$g (x) = x \sqrt{8 - x^{2}}$
59966	Find the Antiderivative	f(x)=6sin(x)	$f (x) = 6 \sin (x)$
59967	Find the Antiderivative	f(x)=cos(x)	$f (x) = \cos (x)$
59968	Find the Antiderivative	f(x)=x(15x+8)	$f (x) = x (15 x + 8)$
59969	Find the Antiderivative	r(t)=3/(t^2)	$r (t) = \frac{3}{t^{2}}$
59970	Find the Antiderivative	g(z) = square root of z^7	$g (z) = \sqrt{z^{7}}$
59971	Find the Antiderivative	g(t)=(3+t+t^2)/( square root of t)	$g (t) = \frac{3 + t + t^{2}}{\sqrt{t}}$
59972	Find the Antiderivative	f(x)=x-3	$f (x) = x - 3$
59973	Find the Derivative - d/dy	e^(2xy)	$e^{2 x y}$
59974	Find the Derivative - d/dy	10x^9y^5+7x^4y^8	$10 x^{9} y^{5} + 7 x^{4} y^{8}$
59975	Find the Derivative - d/dv	n=c/v	$n = \frac{c}{v}$
59976	Find the Derivative - d/dt	cos(t)+tsin(t)	$\cos (t) + t \sin (t)$
59977	Find the Derivative - d/dt	sin(t^2)	$\sin (t^{2})$
59978	Find the Derivative - d/dt	t( natural log of 9t)^2	$t \ln^{2} (9 t)$
59979	Find the Derivative - d/dt	square root of te^(-t)	$\sqrt{t} e^{- t}$
59980	Find the Derivative - d/dt	3e^(2t)	$3 e^{2 t}$
59981	Find the Derivative - d/dt	arccsc(-3t^2)	$arccsc (- 3 t^{2})$
59982	Find the Derivative - d/dt	arccsc(-4t^2)	$arccsc (- 4 t^{2})$
59983	Find the Derivative - d/dt	5/t	$\frac{5}{t}$
59984	Find the Derivative - d/dh	limit as h approaches 0 of (f(x+h)-f(x))/h	$lim_{h \to 0} \frac{f (x + h) - f (x)}{h}$
59985	Find the Roots (Zeros)	(5x^2+26x+24)/(3x^2+10x-8)	$\frac{5 x^{2} + 26 x + 24}{3 x^{2} + 10 x - 8}$
59986	Evaluate the Derivative at x=4	f(x)=3x+8 , x=4	$f (x) = 3 x + 8$ , $x = 4$
59987	Find the Critical Points	f(x)=7x^4e^(9x)	$f (x) = 7 x^{4} e^{9 x}$
59988	Find the Foci	(x^2)/144+(y^2)/225=1	$\frac{x^{2}}{144} + \frac{y^{2}}{225} = 1$
59989	Graph	f(x)=1/(10^x)+4	$f (x) = \frac{1}{10^{x}} + 4$
59990	Graph	f(x)=6-4x	$f (x) = 6 - 4 x$
59991	Solve for b	log base b of 8=3	$\log_{b} (8) = 3$
59992	Solve for y	(y^2)/2=2y	$\frac{y^{2}}{2} = 2 y$
59993	Find the Local Maxima and Minima	1/3x^3-7/2x^2+10x-4	$\frac{1}{3} x^{3} - \frac{7}{2} x^{2} + 10 x - 4$
59994	Find the Directrix	x^2=-36y	$x^{2} = - 36 y$
59995	Find dy/dt	y=(1+sin(12t))^-4	$y = {(1 + \sin (12 t))}^{- 4}$
59996	Find the Fourth Derivative	(2x+1)^4	${(2 x + 1)}^{4}$
59997	Find the Third Derivative	cos(2x)	$\cos (2 x)$
59998	Find the Third Derivative	cube root of x	$\sqrt[3]{x}$
59999	Find the Absolute Max and Min over the Interval	y=3x^(2/3)-2x , [-1,1]	$y = 3 x^{\frac{2}{3}} - 2 x$ , $[- 1, 1]$
60000	Find the Derivative of the Integral	y = integral from cube root of x to 0 of sin(t^3) with respect to t	$y = \int_{\sqrt[3]{x}}^{0} \sin (t^{3}) d t$