Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
49601	Find Where Increasing/Decreasing Using Derivatives	x^3-12x+5	$x^{3} - 12 x + 5$
49602	Find Where Increasing/Decreasing Using Derivatives	3x-3cos(x)	$3 x - 3 \cos (x)$
49603	Find Where Increasing/Decreasing Using Derivatives	e^(-1.5x^2)	$e^{- 1.5 x^{2}}$
49604	Find Where Increasing/Decreasing Using Derivatives	6x-6cos(x)	$6 x - 6 \cos (x)$
49605	Find Where Increasing/Decreasing Using Derivatives	2x^3-24x-7	$2 x^{3} - 24 x - 7$
49606	Find Where Increasing/Decreasing Using Derivatives	2x^3-15x^2-84x	$2 x^{3} - 15 x^{2} - 84 x$
49607	Find Where Increasing/Decreasing Using Derivatives	18x^4-108x^2	$18 x^{4} - 108 x^{2}$
49608	Find Where Increasing/Decreasing Using Derivatives	25x^2-16	$25 x^{2} - 16$
49609	Find the Derivative Using Chain Rule - d/d@VAR	f(t)=5tsin(pit)	$f (t) = 5 t \sin (π t)$
49610	Find the Derivative Using Chain Rule - d/d@VAR	f(x)=(3x^6+8x^3)^4	$f (x) = {(3 x^{6} + 8 x^{3})}^{4}$
49611	Find the Derivative Using Chain Rule - d/d@VAR	h(t)=(t^4-1)^9(t^3+1)^4	$h (t) = {(t^{4} - 1)}^{9} {(t^{3} + 1)}^{4}$
49612	Find Where Increasing/Decreasing Using Derivatives	(4t)/(3t^2+27)	$\frac{4 t}{3 t^{2} + 27}$
49613	Find Where Increasing/Decreasing Using Derivatives	(7x^2)/(x^2+36)	$\frac{7 x^{2}}{x^{2} + 36}$
49614	Find Where Increasing/Decreasing Using Derivatives	(x-9)e^(-8x)	$(x - 9) e^{- 8 x}$
49615	Find Where Increasing/Decreasing Using Derivatives	0.05x+15+500/x	$0.05 x + 15 + \frac{500}{x}$
49616	Find Where Increasing/Decreasing Using Derivatives	1+5/x-6/(x^2)	$1 + \frac{5}{x} - \frac{6}{x^{2}}$
49617	Find Where Increasing/Decreasing Using Derivatives	10x+10cos(x)	$10 x + 10 \cos (x)$
49618	Find Where Increasing/Decreasing Using Derivatives	-12x^3+3x^2	$- 12 x^{3} + 3 x^{2}$
49619	Find Where Increasing/Decreasing Using Derivatives	19x(x-1)^3	$19 x {(x - 1)}^{3}$
49620	Find Where Increasing/Decreasing Using Derivatives	2x^2-16 natural log of x	$2 x^{2} - 16 \ln (x)$
49621	Find Where Increasing/Decreasing Using Derivatives	2x^3+6x^2-48x	$2 x^{3} + 6 x^{2} - 48 x$
49622	Find Where Increasing/Decreasing Using Derivatives	3x^3+9x^2-72x	$3 x^{3} + 9 x^{2} - 72 x$
49623	Find Where Increasing/Decreasing Using Derivatives	3x^3-27x^2+72x	$3 x^{3} - 27 x^{2} + 72 x$
49624	Find Where Increasing/Decreasing Using Derivatives	4x^3-48x-5	$4 x^{3} - 48 x - 5$
49625	Find Where Increasing/Decreasing Using Derivatives	6sin(x)^2cos(x)+3cos(x)	$6 \sin^{2} (x) \cos (x) + 3 \cos (x)$
49626	Find Where Increasing/Decreasing Using Derivatives	6x^4+5x^3	$6 x^{4} + 5 x^{3}$
49627	Find Where Increasing/Decreasing Using Derivatives	6x^6-13x^5	$6 x^{6} - 13 x^{5}$
49628	Find Where Increasing/Decreasing Using Derivatives	-8x^3+24x+3	$- 8 x^{3} + 24 x + 3$
49629	Find Where Increasing/Decreasing Using Derivatives	log base 2 of 1+x^2	$\log_{2} (1 + x^{2})$
49630	Find Where Increasing/Decreasing Using Derivatives	x^3-8x^2-12x+8	$x^{3} - 8 x^{2} - 12 x + 8$
49631	Find Where Increasing/Decreasing Using Derivatives	x^4-32x^2+9	$x^{4} - 32 x^{2} + 9$
49632	Find Where Increasing/Decreasing Using Derivatives	x+sin(2x)	$x + \sin (2 x)$
49633	Find Where Increasing/Decreasing Using Derivatives	x+sin(2x)+1	$x + \sin (2 x) + 1$
49634	Convert to Rectangular	-5(cos(120 degrees )+isin(120 degrees ))	$- 5 (\cos (120 °) + i \sin (120 °))$
49635	Convert to Rectangular	r^2=2sin(2theta)	$r^{2} = 2 \sin (2 θ)$
49636	Convert to Rectangular	r^2=sin(2theta)	$r^{2} = \sin (2 θ)$
49637	Convert to Rectangular	r=4csc(theta)	$r = 4 \csc (θ)$
49638	Convert to Rectangular	r=6sin(theta)	$r = 6 \sin (θ)$
49639	Convert to Rectangular	r=9cos(theta)	$r = 9 \cos (θ)$
49640	Find the Derivative Using Chain Rule - d/dx	((3x-7)/(6x+3))^4	${(\frac{3 x - 7}{6 x + 3})}^{4}$
49641	Find the Derivative Using Chain Rule - d/dx	((4x-2)^4)/((-5x+1)^5)	$\frac{{(4 x - 2)}^{4}}{{(- 5 x + 1)}^{5}}$
49642	Find the Derivative Using Chain Rule - d/dx	(5x^6+8x^3)^4	${(5 x^{6} + 8 x^{3})}^{4}$
49643	Find the Derivative Using Chain Rule - d/dx	(5x+6)^8	${(5 x + 6)}^{8}$
49644	Find the Derivative Using Chain Rule - d/dx	(6x+5)^10	${(6 x + 5)}^{10}$
49645	Find the Derivative Using Chain Rule - d/dx	(d^95)/(dx^95)(sin(x))	$\frac{d^{95}}{d x^{95}} (\sin (x))$
49646	Find the Derivative Using Chain Rule - d/dx	(arctan(7x))^2	${(\arctan (7 x))}^{2}$
49647	Find the Derivative Using Chain Rule - d/dx	( natural log of 1+e^x)^4	$\ln^{4} (1 + e^{x})$
49648	Find the Derivative Using Chain Rule - d/dx	integral from 4 to x^2 of (3t^2+2t) with respect to t	$\int_{4}^{x^{2}} (3 t^{2} + 2 t) d t$
49649	Find the Derivative Using Chain Rule - d/dx	cube root of 1+7x	$\sqrt[3]{1 + 7 x}$
49650	Find the Derivative Using Chain Rule - d/dx	70x-2(3x^3-2x^2)^6	$70 x - 2 {(3 x^{3} - 2 x^{2})}^{6}$
49651	Find the Derivative Using Chain Rule - d/dx	cos(x)^14	$\cos^{14} (x)$
49652	Find the Derivative Using Chain Rule - d/dx	csc((8x^2+1)^8)	$\csc ({(8 x^{2} + 1)}^{8})$
49653	Find the Derivative Using Chain Rule - d/dx	e^ysin(x)+e^(-x)cos(y)=12	$e^{y} \sin (x) + e^{- x} \cos (y) = 12$
49654	Find the Derivative Using Chain Rule - d/dx	g(x^3-6)	$g (x^{3} - 6)$
49655	Find the Derivative Using Chain Rule - d/dx	sin(x^6)	$\sin (x^{6})$
49656	Find the Derivative Using Chain Rule - d/dx	tan(e^x)	$\tan (e^{x})$
49657	Find the Derivative Using Chain Rule - d/dx	x=sin(x+y)	$x = \sin (x + y)$
49658	Find the Derivative Using Chain Rule - d/dx	y^2-xy=4	$y^{2} - x y = 4$
49659	Find the Derivative Using Chain Rule - d/dx	y=(3x^2-7)^3	$y = {(3 x^{2} - 7)}^{3}$
49660	Find the Derivative Using Chain Rule - d/dx	y=(7-e^x)^8	$y = {(7 - e^{x})}^{8}$
49661	Find the Derivative Using Chain Rule - d/dx	y=(cos(x)+5sin(x))^6	$y = {(\cos (x) + 5 \sin (x))}^{6}$
49662	Find the Derivative Using Chain Rule - d/dx	y=(cos(x)+5sin(x))^8	$y = {(\cos (x) + 5 \sin (x))}^{8}$
49663	Find the Derivative Using Chain Rule - d/dx	y=(csc(x)+cot(x))^13	$y = {(\csc (x) + \cot (x))}^{13}$
49664	Find the Derivative Using Chain Rule - d/dx	y=(sec(x)+tan(x))^17	$y = {(\sec (x) + \tan (x))}^{17}$
49665	Find the Derivative Using Chain Rule - d/dx	y=(x^3+9x^2)^-1	$y = {(x^{3} + 9 x^{2})}^{- 1}$
49666	Find the Derivative Using Chain Rule - d/dx	y = fourth root of 1+2x+x^3	$y = \sqrt[4]{1 + 2 x + x^{3}}$
49667	Find the Derivative Using Chain Rule - d/dx	y=6^(5x^2)	$y = 6^{5 x^{2}}$
49668	Find the Derivative Using Chain Rule - d/dx	y=a^6+cos(x)^6	$y = a^{6} + \cos^{6} (x)$
49669	Find the Derivative Using Chain Rule - d/dx	y=cos(x)^20	$y = \cos^{20} (x)$
49670	Find the Derivative Using Chain Rule - d/dx	y=cos(sin(8x))^5	$y = \cos^{5} (\sin (8 x))$
49671	Find the Derivative Using Chain Rule - d/dx	y = natural log of arctan(5x^4)	$y = \ln (\tan^{-1} (5 x^{4}))$
49672	Find the Derivative Using Chain Rule - d/dx	y=sec(8x+5)	$y = \sec (8 x + 5)$
49673	Find the Derivative Using Chain Rule - d/dx	y=arcsin(5x+1)	$y = \arcsin (5 x + 1)$
49674	Find the Derivative Using Chain Rule - d/dx	y=arcsin(8x+1)	$y = \sin^{-1} (8 x + 1)$
49675	Find the Derivative Using Chain Rule - d/dx	y=sin(x)^14	$y = \sin^{14} (x)$
49676	Find the Derivative Using Chain Rule - d/dx	y=tan(x)^3	$y = \tan^{3} (x)$
49677	Find the Derivative Using Chain Rule - d/dx	y=x^2sec(5x)	$y = x^{2} \sec (5 x)$
49678	Find the Derivative Using Chain Rule - d/dx	y=x^2sin(x)^9+xcos(x)^-6	$y = x^{2} \sin^{9} (x) + x \cos^{- 6} (x)$
49679	Find the Derivative Using Chain Rule - d/dx	y=x^5f(x)	$y = x^{5} f (x)$
49680	Find the Derivative Using Chain Rule - d/dx	ysin(16x)=xcos(2y)	$y \sin (16 x) = x \cos (2 y)$
49681	Find the Derivative Using Chain Rule - d/dd	d/(dt)*6(t^2+3t)^-4	$\frac{d}{d t} \cdot 6 {(t^{2} + 3 t)}^{- 4}$
49682	Find the Derivative Using Chain Rule - d/dd	d/(dx)(2x^3)	$\frac{d}{d x} (2 x^{3})$
49683	Find the Derivative Using Chain Rule - d/dr	4/3pir^3	$\frac{4}{3} π r^{3}$
49684	Find the Derivative Using Chain Rule - d/dg	f(g(2x^5))	$f (g (2 x^{5}))$
49685	Find the Derivative Using Chain Rule - d/dd	y=dcos(t)+t^2sin(t)	$y = d \cos (t) + t^{2} \sin (t)$
49686	Find the Derivative Using Chain Rule - d/dz	z=A/(y^12)+Be^y	$z = \frac{A}{y^{12}} + B e^{y}$
49687	Find the Derivative Using Chain Rule - d/dt	integral from x to x^2 of e^(t^2) with respect to t	$\int_{x}^{x^{2}} e^{t^{2}} d t$
49688	Find the Derivative Using Chain Rule - d/dp	p=(sec(q)+csc(q))/(csc(q))	$p = \frac{\sec (q) + \csc (q)}{\csc (q)}$
49689	Find the Derivative Using Chain Rule - d/dt	(3t-1)^4(2t+1)^-3	${(3 t - 1)}^{4} {(2 t + 1)}^{- 3}$
49690	Find the Derivative Using Chain Rule - d/dt	y=(t^2+9)/((8t-3)^6)	$y = \frac{t^{2} + 9}{{(8 t - 3)}^{6}}$
49691	Find the Derivative Using Chain Rule - d/dt	integral from 0 to x^2 of sin(t) with respect to t	$\int_{0}^{x^{2}} \sin (t) d t$
49692	Find the Derivative Using Chain Rule - d/dt	e^(9tsin(2t))	$e^{9 t \sin (2 t)}$
49693	Find the Derivative Using Chain Rule - d/d@VAR	P(t)=e^(arctan(t))	$P (t) = e^{\arctan (t)}$
49694	Find the Derivative Using Chain Rule - d/da	(b/(a+z^2))^3	${(\frac{b}{a + z^{2}})}^{3}$
49695	Find the Derivative Using Chain Rule - d/dA	z=A/(y^12)+Be^y	$z = \frac{A}{y^{12}} + B e^{y}$
49696	Find the Derivative Using Chain Rule - d/dd	d/(dt)(((4t-6)^9)/(t+5))	$\frac{d}{d t} (\frac{{(4 t - 6)}^{9}}{t + 5})$
49697	Find the Derivative Using Chain Rule - d/dd	d/(dx)(2x-5)	$\frac{d}{d x} (2 x - 5)$
49698	Find the Derivative Using Chain Rule - d/dd	(d^95)/(dx^95)(sin(x))	$\frac{d^{95}}{d x^{95}} (\sin (x))$
49699	Find the Derivative Using Chain Rule - d/dD	D_x(2x^(-1/3)+3/(x^(5/3)))	$D_{x} (2 x^{- \frac{1}{3}} + \frac{3}{x^{\frac{5}{3}}})$
49700	Find the Derivative Using Chain Rule - d/df	f^3(g^2(x)h(x))	$f^{3} (g^{2} (x) h (x))$