Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
53301	Find the Derivative Using Chain Rule - d/dk	Cx(1-e^(-kx))	$C x (1 - e^{- k x})$
53302	Find the Derivative Using Chain Rule - d/dk	y=e^(ktan( square root of 7x))	$y = e^{k \tan (\sqrt{7 x})}$
53303	Find the Derivative Using Chain Rule - d/dk	y=e^(ktan( square root of 3))	$y = e^{k \tan (\sqrt{3})}$
53304	Find the Derivative Using Chain Rule - d/dq	q=sin(t/( square root of t+4))	$q = \sin (\frac{t}{\sqrt{t + 4}})$
53305	Find the Derivative Using Chain Rule - d/dq	q=tan(t/( square root of t+9))	$q = \tan (\frac{t}{\sqrt{t + 9}})$
53306	Find the Derivative Using Chain Rule - d/dr	4pir^2	$4 π r^{2}$
53307	Find the Derivative Using Chain Rule - d/dr	r=(sec(theta)+tan(theta))^-4	$r = {(\sec (θ) + \tan (θ))}^{- 4}$
53308	Find the Derivative Using Chain Rule - d/ds	s = square root of 6+6t	$s = \sqrt{6 + 6 t}$
53309	Find the Derivative Using Chain Rule - d/ds	s=sin(t)-e^(-t)	$s = \sin (t) - e^{- t}$
53310	Find the Derivative Using Chain Rule - d/ds	s=t^11 natural log of \|t\|	$s = t^{11} \ln (\| t \|)$
53311	Find the Derivative Using Chain Rule - d/ds	w=6e^( square root of s)	$w = 6 e^{\sqrt{s}}$
53312	Find the Derivative Using Chain Rule - d/ds	y=arcsec(2s^3+4)	$y = arcsec (2 s^{3} + 4)$
53313	Find the Derivative Using Chain Rule - d/dt	1/2(7t^2+t)^-3	$\frac{1}{2} {(7 t^{2} + t)}^{- 3}$
53314	Find the Derivative Using Chain Rule - d/dt	d/(dt)((t^2+8)/((3t-2)^6))	$\frac{d}{d t} (\frac{t^{2} + 8}{{(3 t - 2)}^{6}})$
53315	Find the Derivative Using Chain Rule - d/dt	(t^4-1)^3(t^3+1)^6	${(t^{4} - 1)}^{3} {(t^{3} + 1)}^{6}$
53316	Find the Derivative Using Chain Rule - d/dt	(t^4-1)^5	${(t^{4} - 1)}^{5}$
53317	Find the Derivative Using Chain Rule - d/dt	integral from 0 to square root of x of t^2 with respect to t	$\int_{0}^{\sqrt{x}} t^{2} d t$
53318	Find the Derivative Using Chain Rule - d/dt	7tsin(pit)	$7 t \sin (π t)$
53319	Find the Derivative Using Chain Rule - d/dt	q=sin(t/( square root of t+4))	$q = \sin (\frac{t}{\sqrt{t + 4}})$
53320	Find the Derivative Using Chain Rule - d/dt	s=t^11 natural log of \|t\|	$s = t^{11} \ln (\| t \|)$
53321	Find the Derivative Using Chain Rule - d/dt	t^3 log base 2 of e^t	$t^{3} \log_{2} (e^{t})$
53322	Find the Derivative Using Chain Rule - d/dt	t^4(t^5-9)^5	$t^{4} {(t^{5} - 9)}^{5}$
53323	Find the Derivative Using Chain Rule - d/dt	u = seventh root of t^2+2 square root of t^5	$u = \sqrt[7]{t^{2}} + 2 \sqrt{t^{5}}$
53324	Find the Derivative Using Chain Rule - d/dt	y=3t(2t^2-7)^3	$y = 3 t {(2 t^{2} - 7)}^{3}$
53325	Find the Derivative Using Chain Rule - d/dt	y=5cot(sin(t))^2	$y = 5 \cot^{2} (\sin (t))$
53326	Find the Derivative Using Chain Rule - d/dt	y=bcos(t)+t^2sin(t)	$y = b \cos (t) + t^{2} \sin (t)$
53327	Find the Derivative Using Chain Rule - d/dt	y=e^(tan(t))	$y = e^{\tan (t)}$
53328	Find the Derivative Using Chain Rule - d/dt	y=tan( square root of 5t)	$y = \tan (\sqrt{5 t})$
53329	Find the Derivative Using Chain Rule - d/dt	y=arctan( square root of 4t)	$y = \arctan (\sqrt{4 t})$
53330	Find the Derivative Using Chain Rule - d/du	d/(du)(9u^0.3-7u^3.8)	$\frac{d}{d u} (9 u^{0.3} - 7 u^{3.8})$
53331	Find the Derivative Using Chain Rule - d/du	u = seventh root of t^2+2 square root of t^5	$u = \sqrt[7]{t^{2}} + 2 \sqrt{t^{5}}$
53332	Find the Derivative Using Chain Rule - d/du	y=5u^2-u+5 ; u=1-x^2	$y = 5 u^{2} - u + 5$ ; $u = 1 - x^{2}$
53333	Find the Derivative Using Chain Rule - d/du	y=8-2u^2 ; u=4-7x	$y = 8 - 2 u^{2}$ ; $u = 4 - 7 x$
53334	Find the Derivative Using Chain Rule - d/du	y=8u+9 , u=(1/4)x^5	$y = 8 u + 9$ , $u = (\frac{1}{4}) x^{5}$
53335	Find the Derivative Using Chain Rule - d/dv	d/(dt)\|v(t)\|=1/2(8t^2-64t+272)^(-1/2)(16t-64)	$\frac{d}{d t} \| v (t) \| = \frac{1}{2} {(8 t^{2} - 64 t + 272)}^{\frac{- 1}{2}} (16 t - 64)$
53336	Find the Derivative Using Chain Rule - d/dw	w=6e^( square root of s)	$w = 6 e^{\sqrt{s}}$
53337	Find the Derivative Using Chain Rule - d/dy	((y-1)^3)/((y^2+2y)^9)	$\frac{{(y - 1)}^{3}}{{(y^{2} + 2 y)}^{9}}$
53338	Find the Derivative Using Chain Rule - d/dy	(3x-5y)^5=3y^3-2	${(3 x - 5 y)}^{5} = 3 y^{3} - 2$
53339	Find the Derivative Using Chain Rule - d/dy	(4-x)y^2	$(4 - x) y^{2}$
53340	Find the Derivative Using Chain Rule - d/dy	(dy)/(dx) square root of 3x^2-2	$\frac{d y}{d x} \sqrt{3 x^{2} - 2}$
53341	Find the Derivative Using Chain Rule - d/dy	(dy)/(dx)=d/(du)(u/8+8/u)*d/(dx)(x-x^7)	$\frac{d y}{d x} = \frac{d}{d u} (\frac{u}{8} + \frac{8}{u}) \cdot \frac{d}{d x} (x - x^{7})$
53342	Find the Derivative Using Chain Rule - d/dy	(x^2y^3+3xz+y^2z^3+11)^3	${(x^{2} y^{3} + 3 x z + y^{2} z^{3} + 11)}^{3}$
53343	Find the Derivative Using Chain Rule - d/dy	square root of 3xy=2+x^2y	$\sqrt{3 x y} = 2 + x^{2} y$
53344	Find the Derivative Using Chain Rule - d/dy	2cos(9x)sin(8y)=8	$2 \cos (9 x) \sin (8 y) = 8$
53345	Find the Derivative Using Chain Rule - d/dy	natural log of 6y=e^ysin(4x)	$\ln (6 y) = e^{y} \sin (4 x)$
53346	Find the Derivative Using Chain Rule - d/dy	tan(xy^2+y)^3=x	$\tan^{3} (x y^{2} + y) = x$
53347	Find the Derivative Using Chain Rule - d/dy	x^2y^2-4x=5	$x^{2} y^{2} - 4 x = 5$
53348	Find the Derivative Using Chain Rule - d/dz	(2x+e^(-z^2))^3	${(2 x + e^{- z^{2}})}^{3}$
53349	Find the Derivative Using Chain Rule - d/dz	(8z+e^(-z^2))^4	${(8 z + e^{- z^{2}})}^{4}$
53350	Find the Derivative Using Chain Rule - d/dz	(x^2y^3+3xz+y^2z^3+11)^3	${(x^{2} y^{3} + 3 x z + y^{2} z^{3} + 11)}^{3}$
53351	Find the Derivative Using Chain Rule - d/d@VAR	f(x)=4x(2x^5+3)^4	$f (x) = 4 x {(2 x^{5} + 3)}^{4}$
53352	Find the Derivative Using Chain Rule - d/d@VAR	m(t)=-6t(5t^8-1)^6	$m (t) = - 6 t {(5 t^{8} - 1)}^{6}$
53353	Find the Derivative Using Chain Rule - d/d@VAR	m(t)=-7t(6t^6-1)^6	$m (t) = - 7 t {(6 t^{6} - 1)}^{6}$
53354	Find the Derivative Using Chain Rule - d/d@VAR	G(y)=((y-2)^3)/((y^2+4y)^9)	$G (y) = \frac{{(y - 2)}^{3}}{{(y^{2} + 4 y)}^{9}}$
53355	Find the Derivative Using Chain Rule - d/d@VAR	f(x)=(sin(x))/(tan(x))	$f (x) = \frac{\sin (x)}{\tan (x)}$
53356	Find the Derivative Using Chain Rule - d/dy	(dy)/(dx)x^10	$\frac{d y}{d x} x^{10}$
53357	Find the Derivative Using Chain Rule - d/dr	r=sin(theta^6)*cos(4theta)	$r = \sin (θ^{6}) \cdot \cos (4 θ)$
53358	Find the Derivative Using Chain Rule - d/dt	(dA)/(dt)=2s*(ds)/(dt)	$\frac{d A}{d t} = 2 s \cdot \frac{d s}{d t}$
53359	Find the Derivative Using Chain Rule - d/dd	(dA)/(dt)=2s*(ds)/(dt)	$\frac{d A}{d t} = 2 s \cdot \frac{d s}{d t}$
53360	Find the Derivative Using Chain Rule - d/dx	((2x-7)/(7x+3))^5	${(\frac{2 x - 7}{7 x + 3})}^{5}$
53361	Find the Derivative Using Chain Rule - d/dx	((3x-1)/(5x+2))^4	${(\frac{3 x - 1}{5 x + 2})}^{4}$
53362	Find the Derivative Using Chain Rule - d/dx	1/((6x+7)^4)	$\frac{1}{{(6 x + 7)}^{4}}$
53363	Find the Derivative Using Chain Rule - d/dx	(1+y^2)dx+2x(yd)x=sin(ydy)	$(1 + y^{2}) d x + 2 x yds x = \sin (yds y)$
53364	Find the Derivative Using Chain Rule - d/dx	(3x+5)^10	${(3 x + 5)}^{10}$
53365	Find the Derivative Using Chain Rule - d/dx	(3x-5y)^5=3y^3-2	${(3 x - 5 y)}^{5} = 3 y^{3} - 2$
53366	Find the Derivative Using Chain Rule - d/dx	(47u^46)(15x^2+8x)	$(47 u^{46}) (15 x^{2} + 8 x)$
53367	Find the Derivative Using Chain Rule - d/dx	(8+7x)^4	${(8 + 7 x)}^{4}$
53368	Find the Derivative Using Chain Rule - d/dx	(csc(7x-1))^(2/3)	${(\csc (7 x - 1))}^{\frac{2}{3}}$
53369	Find the Derivative Using Chain Rule - d/dx	d/(dx)((x^3)/12)	$\frac{d}{d x} (\frac{x^{3}}{12})$
53370	Find the Derivative Using Chain Rule - d/dx	(d^102)/(dx^102)(sin(x))	$\frac{d^{102}}{d x^{102}} (\sin (x))$
53371	Find the Derivative Using Chain Rule - d/dx	(d^106)/(dx^106)(sin(x))	$\frac{d^{106}}{d x^{106}} (\sin (x))$
53372	Find the Derivative Using Chain Rule - d/dx	(d^110)/(dx^110)(sin(x))	$\frac{d^{110}}{d x^{110}} (\sin (x))$
53373	Find the Derivative Using Chain Rule - d/dx	(d^2)/(dx^2)(3csc(x))	$\frac{d^{2}}{d x^{2}} (3 \csc (x))$
53374	Find the Derivative Using Chain Rule - d/dx	(d^903)/(dx^903)(sin(x))	$\frac{d^{903}}{d x^{903}} (\sin (x))$
53375	Find the Derivative Using Chain Rule - d/dx	(d^98)/(dx^98)(sin(x))	$\frac{d^{98}}{d x^{98}} (\sin (x))$
53376	Find the Derivative Using Chain Rule - d/dx	(dy)/(dx)=yx^2cos(x)	$\frac{d y}{d x} = y x^{2} \cos (x)$
53377	Find the Derivative Using Chain Rule - d/dx	(x^2+y^2)^5	${(x^{2} + y^{2})}^{5}$
53378	Find the Derivative Using Chain Rule - d/dx	(I(x))^n	${(I (x))}^{n}$
53379	Find the Derivative Using Chain Rule - d/dx	(x+(x+sin(x)^2)^5)^7	${(x + {(x + \sin^{2} (x))}^{5})}^{7}$
53380	Find the Derivative Using Chain Rule - d/dx	integral from 0 to square root of x of t^2 with respect to t	$\int_{0}^{\sqrt{x}} t^{2} d t$
53381	Find the Derivative Using Chain Rule - d/dx	2cos(9x)sin(8y)=8	$2 \cos (9 x) \sin (8 y) = 8$
53382	Find the Derivative Using Chain Rule - d/dx	2e^(9x)+e^(-x^8)	$2 e^{9 x} + e^{- x^{8}}$
53383	Find the Derivative Using Chain Rule - d/dx	3x^2+2y^2=4	$3 x^{2} + 2 y^{2} = 4$
53384	Find the Derivative Using Chain Rule - d/dx	-7(3x^4+2)^-4	$- 7 {(3 x^{4} + 2)}^{- 4}$
53385	Find the Derivative Using Chain Rule - d/dx	c=0.001x^3+9x+250	$c = 0.001 x^{3} + 9 x + 250$
53386	Find the Derivative Using Chain Rule - d/dx	cos(x)^13	$\cos^{13} (x)$
53387	Find the Derivative Using Chain Rule - d/dx	cot(11xe^x)	$\cot (11 x e^{x})$
53388	Find the Derivative Using Chain Rule - d/dx	Cx(1-e^(-kx))	$C x (1 - e^{- k x})$
53389	Find the Derivative Using Chain Rule - d/dx	natural log of 6y=e^ysin(4x)	$\ln (6 y) = e^{y} \sin (4 x)$
53390	Find the Derivative Using Chain Rule - d/dx	sin(29xt)=t	$\sin (29 x t) = t$
53391	Find the Derivative Using Chain Rule - d/dx	sin(8-9x)	$\sin (8 - 9 x)$
53392	Find the Derivative Using Chain Rule - d/dx	sin(xy)=cos(x+y)	$\sin (x y) = \cos (x + y)$
53393	Find the Derivative Using Chain Rule - d/dx	sin(x)^12	$\sin^{12} (x)$
53394	Find the Derivative Using Chain Rule - d/dx	sin(x)^18	$\sin^{18} (x)$
53395	Find the Derivative Using Chain Rule - d/dx	tan(6x^4)	$\tan (6 x^{4})$
53396	Find the Derivative Using Chain Rule - d/dx	tan(cos(x))+12	$\tan (\cos (x)) + 12$
53397	Find the Derivative Using Chain Rule - d/dx	tan(x^2-4x)	$\tan (x^{2} - 4 x)$
53398	Find the Derivative Using Chain Rule - d/dx	arctan(x^2y)	$\arctan (x^{2} y)$
53399	Find the Derivative Using Chain Rule - d/dx	x^2 square root of 8x-3	$x^{2} \sqrt{8 x - 3}$
53400	Find the Derivative Using Chain Rule - d/dx	xsin(pix)	$x \sin (π x)$