Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
17801	Find the Derivative - d/dt	natural log of 1+t^2	$\ln (1 + t^{2})$
17802	Find the Derivative - d/dt	natural log of 2t	$\ln (2 t)$
17803	Find the Derivative - d/dt	k(t)=(t^2-7)^2	$k (t) = {(t^{2} - 7)}^{2}$
17804	Find the Derivative - d/dt	h(t)=t^4	$h (t) = t^{4}$
17805	Find the Derivative - d/dt	g(t)=2t^(-3/4)	$g (t) = 2 t^{- \frac{3}{4}}$
17806	Find the Derivative - d/dt	g(t)=t^2-9/(t^3)	$g (t) = t^{2} - \frac{9}{t^{3}}$
17807	Find the Derivative - d/dt	g(t)=sin(3t)^2+arcsin(3t)	$g (t) = \sin^{2} (3 t) + \arcsin (3 t)$
17808	Find the Derivative - d/dt	g(t)=t^2-1/(t^3)	$g (t) = t^{2} - \frac{1}{t^{3}}$
17809	Find the Derivative - d/dt	g(t)=4t natural log of t	$g (t) = 4 t \ln (t)$
17810	Find the Derivative - d/dw	(4e^w)/(9w)	$\frac{4 e^{w}}{9 w}$
17811	Find the Derivative - d/dw	w^3 natural log of 5w	$w^{3} \ln (5 w)$
17812	Find the Derivative - d/dw	(w-5)/(w^5)	$\frac{w - 5}{w^{5}}$
17813	Find the Derivative - d/dw	0.007184w^0.425*h^0.725	$0.007184 w^{0.425} \cdot h^{0.725}$
17814	Find the Derivative - d/dw	natural log of cos(w-1)	$\ln (\cos (w - 1))$
17815	Find the Derivative - d/dw	h(w)=(w^2+2w+4)^(5/2)	$h (w) = {(w^{2} + 2 w + 4)}^{\frac{5}{2}}$
17816	Find the Derivative - d/dw	h(w)=(w^4-2w)^5	$h (w) = {(w^{4} - 2 w)}^{5}$
17817	Find the Derivative - d/dw	y=(1/(w^3-1))^8	$y = {(\frac{1}{w^{3} - 1})}^{8}$
17818	Find the Derivative - d/dx	(3x^3-x+1)(4-x^2)	$(3 x^{3} - x + 1) (4 - x^{2})$
17819	Find the Derivative - d/dv	v^2 square root of 2v-5	$v^{2} \sqrt{2 v - 5}$
17820	Find the Derivative - d/dv	v	$v$
17821	Find the Derivative - d/dv	y=(3-v^2)/(3+v^2)	$y = \frac{3 - v^{2}}{3 + v^{2}}$
17822	Find the Derivative - d/dv	y=(4-v^2)/(4+v^2)	$y = \frac{4 - v^{2}}{4 + v^{2}}$
17823	Find the Derivative - d/dv	y=(5-v^2)/(5+v^2)	$y = \frac{5 - v^{2}}{5 + v^{2}}$
17824	Find the Derivative - d/dv	33(10 square root of v-v+10.45)	$33 (10 \sqrt{v} - v + 10.45)$
17825	Find the Derivative - d/dv	f(v)=9 square root of v(1-e^v)	$f (v) = 9 \sqrt{v (1 - e^{v})}$
17826	Find the Derivative - d/dw	(a(1-w/N)-cr)w	$(a (1 - \frac{w}{N}) - c r) w$
17827	Find the Derivative - d/dw	(17w^2+11)e^(w^2)	$(17 w^{2} + 11) e^{w^{2}}$
17828	Find the Derivative - d/dw	(3e^w)/(4w)	$\frac{3 e^{w}}{4 w}$
17829	Find the Derivative - d/dw	4/((w^2+3)^5)	$\frac{4}{{(w^{2} + 3)}^{5}}$
17830	Find the Derivative - d/dw	log base 6 of 7w	$\log_{6} (7 w)$
17831	Find the Derivative - d/du	1/(u-1)	$\frac{1}{u - 1}$
17832	Find the Derivative - d/du	(2u^(3/2))/3	$\frac{2 u^{\frac{3}{2}}}{3}$
17833	Find the Derivative - d/du	(2u^2)/((u^2+u)^3)	$\frac{2 u^{2}}{{(u^{2} + u)}^{3}}$
17834	Find the Derivative - d/du	(2u)/(u^2+3)	$\frac{2 u}{u^{2} + 3}$
17835	Find the Derivative - d/du	(e^(8u)-e^(-8u))/(e^(8u)+e^(-8u))	$\frac{e^{8 u} - e^{- 8 u}}{e^{8 u} + e^{- 8 u}}$
17836	Find the Derivative - d/du	u^(3/2)	$u^{\frac{3}{2}}$
17837	Find the Derivative - d/du	u/(u^2+7)	$\frac{u}{u^{2} + 7}$
17838	Find the Derivative - d/du	u/(u^2+1)	$\frac{u}{u^{2} + 1}$
17839	Find the Derivative - d/du	e^(-u)cos(u)	$e^{- u} \cos (u)$
17840	Find the Derivative - d/du	18/( square root of u)	$\frac{18}{\sqrt{u}}$
17841	Find the Derivative - d/du	(e^(2u))/(e^u+e^(-u))	$\frac{e^{2 u}}{e^{u} + e^{- u}}$
17842	Find the Derivative - d/dt	y=t( natural log of 7t)^2	$y = t \ln^{2} (7 t)$
17843	Find the Derivative - d/du	(e^(u/10))/(u^3)	$\frac{e^{\frac{u}{10}}}{u^{3}}$
17844	Find the Derivative - d/dt	y=sin(t)+picos(t)	$y = \sin (t) + π \cos (t)$
17845	Find the Derivative - d/du	8u^(3/4)+4u^(-1/4)	$8 u^{\frac{3}{4}} + 4 u^{- \frac{1}{4}}$
17846	Find the Derivative - d/du	(1-u^2)^2	${(1 - u^{2})}^{2}$
17847	Find the Inflection Points	f(x)=3x^3-9x	$f (x) = 3 x^{3} - 9 x$
17848	Find the Derivative - d/dt	y = natural log of \|2+t-t^3\|	$y = \ln (\| 2 + t - t^{3} \|)$
17849	Find the Derivative - d/dt	y = natural log of t^(3/2)	$y = \ln (t^{\frac{3}{2}})$
17850	Find the Derivative - d/dt	y = natural log of t^11	$y = \ln (t^{11})$
17851	Find the Derivative - d/dt	y = natural log of 3te^(-t)	$y = \ln (3 t e^{- t})$
17852	Find the Derivative - d/dt	y=t( natural log of (4t)^2)	$y = t (\ln ({(4 t)}^{2}))$
17853	Find the Derivative - d/dt	y=t( natural log of t)^2	$y = t \ln^{2} (t)$
17854	Find the Derivative - d/dt	y=tan( square root of 7t)	$y = \tan (\sqrt{7 t})$
17855	Find the Derivative - d/du	(u-1)/(u+1)	$\frac{u - 1}{u + 1}$
17856	Find the Derivative - d/du	square root of 6u+ square root of 5u	$\sqrt{6} u + \sqrt{5 u}$
17857	Find the Derivative - d/du	e^(au)	$e^{a u}$
17858	Find the Derivative - d/du	u^(1/3)	$u^{\frac{1}{3}}$
17859	Find the Derivative - d/du	u^9e^(-u)	$u^{9} e^{- u}$
17860	Find the Derivative - d/du	u^2	$u^{2}$
17861	Find the Derivative - d/du	u^-3	$u^{- 3}$
17862	Find the Derivative - d/du	square root of 10u+ square root of 3u	$\sqrt{10 u} + \sqrt{3 u}$
17863	Find the Derivative - d/du	fourth root of u	$\sqrt[4]{u}$
17864	Find the Derivative - d/du	arccsc(u)	$arccsc (u)$
17865	Find the Derivative - d/du	cot(u)	$\cot (u)$
17866	Find the Derivative - d/du	f(u)=2/( square root of u)	$f (u) = \frac{2}{\sqrt{u}}$
17867	Find the Concavity	e^(4x)+e^(-x)	$e^{4 x} + e^{- x}$
17868	Find the Derivative - d/du	sec(u)	$\sec (u)$
17869	Find the Derivative - d/du	u natural log of v	uln $(v)$
17870	Find the Derivative - d/du	tan(u)	$\tan (u)$
17871	Find the Derivative - d/du	u	$u$
17872	Find the Derivative - d/du	h(u)=u^3(9u^2-6)^4	$h (u) = u^{3} {(9 u^{2} - 6)}^{4}$
17873	Find the Derivative - d/du	cos(u)	$\cos (u)$
17874	Find the Derivative - d/du	y=9/u	$y = \frac{9}{u}$
17875	Find the Derivative - d/du	y=(e^(4u)-e^(-4u))/(e^(4u)+e^(-4u))	$y = \frac{e^{4 u} - e^{- 4 u}}{e^{4 u} + e^{- 4 u}}$
17876	Find the Derivative - d/du	y=u^3	$y = u^{3}$
17877	Find the Derivative - d/du	y=1/(u^2+u)	$y = \frac{1}{u^{2} + u}$
17878	Find the Derivative - d/du	y=1/u	$y = \frac{1}{u}$
17879	Find the Derivative - d/du	y=u(arccos(s)(u)+bcot(u))	$y = u (\arccos (s) (u) + b \cot (u))$
17880	Find the Derivative - d/dt	y=(t^2-4)^2	$y = {(t^{2} - 4)}^{2}$
17881	Find the Derivative - d/dt	y=(3t-7)/(t^2+5t-4)	$y = \frac{3 t - 7}{t^{2} + 5 t - 4}$
17882	Find the Derivative - d/dt	y=(t^2+2)/((2t-5)^9)	$y = \frac{t^{2} + 2}{{(2 t - 5)}^{9}}$
17883	Find the Derivative - d/dt	y=(t^2+3)e^t	$y = (t^{2} + 3) e^{t}$
17884	Find the Derivative - d/dt	y=(100t)/((t+20)^2)	$y = \frac{100 t}{{(t + 20)}^{2}}$
17885	Find the Derivative - d/dt	y=8^(-t)	$y = 8^{- t}$
17886	Find the Derivative - d/dt	y=(cos(t^4))/(tan(4t))	$y = \frac{\cos (t^{4})}{\tan (4 t)}$
17887	Find the Derivative - d/dt	y=5/t	$y = \frac{5}{t}$
17888	Find the Derivative - d/dt	y=arcsec(1/(9t^4))	$y = arcsec (\frac{1}{9 t^{4}})$
17889	Find the Derivative - d/dt	y=arcsec(1/t)	$y = arcsec (\frac{1}{t})$
17890	Find the Derivative - d/dt	y=arcsin(3/(t^2))	$y = \arcsin (\frac{3}{t^{2}})$
17891	Find the Derivative - d/dt	y=e^(9cos(t)+ natural log of t)	$y = e^{9 \cos (t) + \ln (t)}$
17892	Find the Derivative - d/dt	y=arcsin(1-t)	$y = \arcsin (1 - t)$
17893	Find the Derivative - d/dt	y=t/((t-9)^2)	$y = \frac{t}{{(t - 9)}^{2}}$
17894	Find the Derivative - d/dt	y=t^2+5 natural log of t	$y = t^{2} + 5 \ln (t)$
17895	Find the Derivative - d/dt	y=(5t^2-4t)^2	$y = {(5 t^{2} - 4 t)}^{2}$
17896	Find the Derivative - d/dt	y(t)=((9t^5-3.9t^4-t^3)/(3t^3))	$y (t) = (\frac{9 t^{5} - 3.9 t^{4} - t^{3}}{3 t^{3}})$
17897	Find the Derivative - d/dt	y(t)=c/(b-a)*(e^(-at)-e^(-bt))	$y (t) = \frac{c}{b - a} \cdot (e^{- a t} - e^{- b t})$
17898	Find the Derivative - d/dt	y(t)=100t-16t^2	$y (t) = 100 t - 16 t^{2}$
17899	Find the Derivative - d/dt	y=(t^2-9)^2	$y = {(t^{2} - 9)}^{2}$
17900	Find the Derivative - d/dt	y=1/6*(1+cos(7t)^2)^3	$y = \frac{1}{6} \cdot {(1 + \cos^{2} (7 t))}^{3}$