Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
40901	Find the Derivative - d/d@VAR	g(t)=(7t)/(t-5)	$g (t) = \frac{7 t}{t - 5}$
40902	Find the Derivative - d/d@VAR	g(t)=8/(t^2)	$g (t) = \frac{8}{t^{2}}$
40903	Find the Derivative - d/d@VAR	g(t)=8/t	$g (t) = \frac{8}{t}$
40904	Find the Derivative - d/d@VAR	g(t)=-9/(t^3)	$g (t) = - \frac{9}{t^{3}}$
40905	Find the Derivative - d/dx	e^(-13x)	$e^{- 13 x}$
40906	Find the Derivative - d/d@VAR	g(t)=4/(t^2)	$g (t) = \frac{4}{t^{2}}$
40907	Find the Derivative - d/d@VAR	g(t)=4/(t^4)	$g (t) = \frac{4}{t^{4}}$
40908	Find the Derivative - d/d@VAR	g(t)=40000/(1+18e^(-0.51*6))	$g (t) = \frac{40000}{1 + 18 e^{- 0.51 \cdot 6}}$
40909	Find the Derivative - d/d@VAR	g(t)=(4t)/(t+1)	$g (t) = \frac{4 t}{t + 1}$
40910	Find the Derivative - d/d@VAR	g(t)=t^2*2^t	$g (t) = t^{2} \cdot 2^{t}$
40911	Find the Derivative - d/d@VAR	g(t)=t^2(8t+7)^4	$g (t) = t^{2} {(8 t + 7)}^{4}$
40912	Find the Derivative - d/d@VAR	g(t)=t^2-9/(t^3)	$g (t) = t^{2} - \frac{9}{t^{3}}$
40913	Find the Derivative - d/d@VAR	g(t)=t^2 natural log of e^(2t)+4	$g (t) = t^{2} \ln (e^{2 t} + 4)$
40914	Find the Derivative - d/d@VAR	g(t)=t^2 natural log of e^(2t)+5	$g (t) = t^{2} \ln (e^{2 t} + 5)$
40915	Find the Derivative - d/d@VAR	g(t)=t^3-27	$g (t) = t^{3} - 27$
40916	Find the Derivative - d/d@VAR	g(t)=t^3cos(t)	$g (t) = t^{3} \cos (t)$
40917	Find the Derivative - d/d@VAR	g(t)=e^((9+2t)^2)	$g (t) = e^{{(9 + 2 t)}^{2}}$
40918	Find the Derivative - d/d@VAR	g(x)=(9(7x^2+5x))/(4x)	$g (x) = \frac{9 (7 x^{2} + 5 x)}{4 x}$
40919	Find the Derivative - d/d@VAR	g(x)=(sin(x))/(x^3-2x)	$g (x) = \frac{\sin (x)}{x^{3} - 2 x}$
40920	Graph	y=(x^2)/(x-1)	$y = \frac{x^{2}}{x - 1}$
40921	Find the Derivative - d/d@VAR	G(x) = square root of x-2e^x	$G (x) = \sqrt{x} - 2 e^{x}$
40922	Find the Derivative - d/d@VAR	G(x)=x^3-5x^2+4x-7	$G (x) = x^{3} - 5 x^{2} + 4 x - 7$
40923	Find the Derivative - d/d@VAR	g(x)=x^5tan(x)	$g (x) = x^{5} \tan (x)$
40924	Find the Derivative - d/d@VAR	g(x)=x^7*cos(x)	$g (x) = x^{7} \cdot \cos (x)$
40925	Find the Derivative - d/d@VAR	G(x)=6x^4(x^3-2)	$G (x) = 6 x^{4} (x^{3} - 2)$
40926	Find the Derivative - d/d@VAR	g(x) = natural log of natural log of x	$g (x) = \ln (\ln (x))$
40927	Find the Derivative - d/d@VAR	G(x)=x-4 square root of x	$G (x) = x - 4 \sqrt{x}$
40928	Find the Derivative - d/d@VAR	g(t)=2t^3cos(t)	$g (t) = 2 t^{3} \cos (t)$
40929	Find the Derivative - d/d@VAR	g(t)=2+3cos(t)	$g (t) = 2 + 3 \cos (t)$
40930	Find the Derivative - d/d@VAR	g(t)=2cos(t)-3sin(t)	$g (t) = 2 \cos (t) - 3 \sin (t)$
40931	Find the Derivative - d/d@VAR	g(t)=2 natural log of 5 natural log of 4t	$g (t) = 2 \ln (5 \ln (4 t))$
40932	Find the Derivative - d/d@VAR	g(t)=3t^2-4	$g (t) = 3 t^{2} - 4$
40933	Find the Derivative - d/d@VAR	g(t)=-3 square root of 7t^(3-1)	$g (t) = - 3 \sqrt{7 t^{3 - 1}}$
40934	Find the Derivative - d/d@VAR	g(t)=3 square root of t-3/( square root of t)	$g (t) = 3 \sqrt{t} - \frac{3}{\sqrt{t}}$
40935	Find the Derivative - d/d@VAR	g(t)=4.0+3.0cos(2pi(t-5.0))	$g (t) = 4 + 3 \cos (2 π (t - 5))$
40936	Find the Derivative - d/d@VAR	g(t)=6sec(t)+8tan(t)	$g (t) = 6 \sec (t) + 8 \tan (t)$
40937	Find the Derivative - d/d@VAR	g(t)=9t^2-7t-1	$g (t) = 9 t^{2} - 7 t - 1$
40938	Find the Derivative - d/d@VAR	g(t)=xcos(2x)	$g (t) = x \cos (2 x)$
40939	Find the Derivative - d/d@VAR	g(u)=2e^h(5h^2+3h)	$g (u) = 2 e^{h} (5 h^{2} + 3 h)$
40940	Find the Derivative - d/d@VAR	g(u)=2u^h(5h^2+3h)	$g (u) = 2 u^{h} (5 h^{2} + 3 h)$
40941	Find the Derivative - d/d@VAR	g(u)=(1+u^2)^5(1-2u^2)^3	$g (u) = {(1 + u^{2})}^{5} {(1 - 2 u^{2})}^{3}$
40942	Find the Derivative - d/d@VAR	g(u)=(e^(au))/(a^2+b^2)	$g (u) = \frac{e^{a u}}{a^{2} + b^{2}}$
40943	Find the Derivative - d/d@VAR	g(u)=(2u-3)/( square root of u^2-3u+4)	$g (u) = \frac{2 u - 3}{\sqrt{u^{2} - 3 u + 4}}$
40944	Find the Derivative - d/d@VAR	g(u)=(3u^2)/((u^2+u)^3)	$g (u) = \frac{3 u^{2}}{{(u^{2} + u)}^{3}}$
40945	Find the Derivative - d/d@VAR	f(x)=3 square root of x	$f (x) = 3 \sqrt{x}$
40946	Find the Derivative - d/d@VAR	g(u) = square root of 3u+ square root of 10u	$g (u) = \sqrt{3} u + \sqrt{10 u}$
40947	Find the Derivative - d/d@VAR	g(u) = square root of 5u+ square root of 7u	$g (u) = \sqrt{5} u + \sqrt{7} u$
40948	Find the Derivative - d/d@VAR	g(u) = square root of 5u+ square root of 2u	$g (u) = \sqrt{5 u} + \sqrt{2 u}$
40949	Find the Derivative - d/d@VAR	g(u) = square root of 6u+ square root of 7u	$g (u) = \sqrt{6 u} + \sqrt{7 u}$
40950	Find the Derivative - d/d@VAR	g(u) = natural log of u/(u+3)	$g (u) = \ln (\frac{u}{u + 3})$
40951	Find the Derivative - d/d@VAR	g(u)=u(11u-4)^3	$g (u) = u {(11 u - 4)}^{3}$
40952	Find the Derivative - d/d@VAR	g(u)=u(2u-3)^3	$g (u) = u {(2 u - 3)}^{3}$
40953	Find the Derivative - d/d@VAR	g(u)=u(9u-10)^3	$g (u) = u {(9 u - 10)}^{3}$
40954	Find the Derivative - d/d@VAR	g(u)=u-1/u	$g (u) = u - \frac{1}{u}$
40955	Find the Derivative - d/d@VAR	g(v)=(v^3-2v)(v^-4+v^-2)	$g (v) = (v^{3} - 2 v) (v^{- 4} + v^{- 2})$
40956	Find the Derivative - d/d@VAR	g(v)=e^vsin(v)-7vcsc(v)	$g (v) = e^{v} \sin (v) - 7 v \csc (v)$
40957	Find the Derivative - d/d@VAR	g(v)=-6(5v-3)^-4+5( natural log of v^3)^(6/5)- sixth root of 1+e^(2x)	$g (v) = - 6 {(5 v - 3)}^{- 4} + 5 {(\ln (v^{3}))}^{\frac{6}{5}} - \sqrt[6]{1 + e^{2 x}}$
40958	Find the Derivative - d/d@VAR	g(w)=(w^3+4)(w^3-1)	$g (w) = (w^{3} + 4) (w^{3} - 1)$
40959	Find the Derivative - d/d@VAR	g(w)=(w^3+5)(w^3-2)	$g (w) = (w^{3} + 5) (w^{3} - 2)$
40960	Find the Derivative - d/d@VAR	G(w)=4/(3w^6)+6 fourth root of w	$G (w) = \frac{4}{3 w^{6}} + 6 \sqrt[4]{w}$
40961	Find the Derivative - d/d@VAR	G(w)=5/(8w^4)+7 cube root of w	$G (w) = \frac{5}{8 w^{4}} + 7 \sqrt[3]{w}$
40962	Find the Derivative - d/d@VAR	G(w)=5/(9w^4)+5 cube root of w	$G (w) = \frac{5}{9 w^{4}} + 5 \sqrt[3]{w}$
40963	Find the Derivative - d/d@VAR	g(w)=7/(2w^6)+3 fourth root of w	$g (w) = \frac{7}{2 w^{6}} + 3 \sqrt[4]{w}$
40964	Find the Derivative - d/d@VAR	g(w) = cube root of 3w-7	$g (w) = \sqrt[3]{3 w - 7}$
40965	Find the Derivative - d/d@VAR	g(w)=w^2 natural log of w	$g (w) = w^{2} \ln (w)$
40966	Find the Derivative - d/d@VAR	g(w)=3 square root of 3w-7	$g (w) = 3 \sqrt{3 w - 7}$
40967	Find the Derivative - d/d@VAR	g(w)=4 square root of w	$g (w) = 4 \sqrt{w}$
40968	Find the Derivative - d/d@VAR	g(w)=-5w^2-3	$g (w) = - 5 w^{2} - 3$
40969	Find the Derivative - d/d@VAR	g(x)=(3x-1)/(2x+1)	$g (x) = \frac{3 x - 1}{2 x + 1}$
40970	Find the Derivative - d/d@VAR	g(x)=(u- square root of u)(u+ square root of u)	$g (x) = (u - \sqrt{u}) (u + \sqrt{u})$
40971	Find the Derivative - d/d@VAR	g(x)=(2x+1)(3x-5)	$g (x) = (2 x + 1) (3 x - 5)$
40972	Find the Derivative - d/d@VAR	g(x)=(3x^2+7)(3x+ square root of x)	$g (x) = (3 x^{2} + 7) (3 x + \sqrt{x})$
40973	Find the Derivative - d/d@VAR	g(x)=(3x^2+3x-3)ex	$g (x) = (3 x^{2} + 3 x - 3) e x$
40974	Find the Derivative - d/d@VAR	g(x)=(6x^3+7x^2+3x)	$g (x) = (6 x^{3} + 7 x^{2} + 3 x)$
40975	Find the Derivative - d/d@VAR	g(x)=(7x^2+9)(8x+ square root of x)	$g (x) = (7 x^{2} + 9) (8 x + \sqrt{x})$
40976	Find the Derivative - d/d@VAR	g(x)=(x-9)(x+3)	$g (x) = (x - 9) (x + 3)$
40977	Find the Derivative - d/d@VAR	g(x)=0.04x^3-0.88x^2+4.81x+12.11	$g (x) = 0.04 x^{3} - 0.88 x^{2} + 4.81 x + 12.11$
40978	Find the Derivative - d/d@VAR	g(x)=(x^5)((9.3)^x)	$g (x) = (x^{5}) ({(9.3)}^{x})$
40979	Find the Derivative - d/d@VAR	g(x)=((5/6)csc(x/6))^2	$g (x) = {((\frac{5}{6}) \csc (\frac{x}{6}))}^{2}$
40980	Find the Derivative - d/d@VAR	g(x)=((1+sin(3t))/(3-2t))^-1	$g (x) = {(\frac{1 + \sin (3 t)}{3 - 2 t})}^{- 1}$
40981	Find the Derivative - d/d@VAR	g(x)=(x^2+1)arctan(x)	$g (x) = (x^{2} + 1) \arctan (x)$
40982	Find the Derivative - d/d@VAR	g(x)=(x^2-62)e^x	$g (x) = (x^{2} - 62) e^{x}$
40983	Find the Derivative - d/d@VAR	g(x)=(x^3-2x)(2x+5)	$g (x) = (x^{3} - 2 x) (2 x + 5)$
40984	Find the Derivative - d/d@VAR	g(x)=(x^3-7)(7x^2+3)	$g (x) = (x^{3} - 7) (7 x^{2} + 3)$
40985	Find the Derivative - d/d@VAR	g(x)=(2x^2+5)(4x-1)	$g (x) = (2 x^{2} + 5) (4 x - 1)$
40986	Find the Derivative - d/d@VAR	g(x)=(2x^2+5x+1)e^x	$g (x) = (2 x^{2} + 5 x + 1) e^{x}$
40987	Find the Derivative - d/d@VAR	g(x)=(2 log of x^3+4)	$g (x) = (2 \log (x^{3} + 4))$
40988	Find the Derivative - d/d@VAR	g(x)=( natural log of x)^4	$g (x) = \ln^{4} (x)$
40989	Find the Derivative - d/d@VAR	g(x)=( natural log of x)^8	$g (x) = \ln^{8} (x)$
40990	Find the Derivative - d/d@VAR	g(x)=( natural log of x+7)^5	$g (x) = {(\ln (x) + 7)}^{5}$
40991	Find the Derivative - d/d@VAR	g(x)=sin(6x)^8	$g (x) = \sin^{8} (6 x)$
40992	Find the Derivative - d/d@VAR	g(x)=(4x^4+4x)/(x^3+3)	$g (x) = \frac{4 x^{4} + 4 x}{x^{3} + 3}$
40993	Find the Derivative - d/d@VAR	g(x)=(7x-3)/(6x+7)+x^3	$g (x) = \frac{7 x - 3}{6 x + 7} + x^{3}$
40994	Find the Derivative - d/d@VAR	g(x)=cos(5x)^(1/2)	$g (x) = {\cos (5 x)}^{\frac{1}{2}}$
40995	Find the Derivative - d/d@VAR	g(t) = square root of 2t+3	$g (t) = \sqrt{2 t + 3}$
40996	Find the Derivative - d/d@VAR	g(t) = fourth root of t+6csc(t)	$g (t) = \sqrt[4]{t} + 6 \csc (t)$
40997	Find the Derivative - d/d@VAR	g(t)=150t^2	$g (t) = 150 t^{2}$
40998	Find the Derivative - d/d@VAR	g(t)=2t^(-1/4)	$g (t) = 2 t^{- \frac{1}{4}}$
40999	Find the Derivative - d/d@VAR	g(x)=(2(x)-9)/(7(x)+5)	$g (x) = \frac{2 (x) - 9}{7 (x) + 5}$
41000	Find the Derivative - d/d@VAR	g(x)=(3t^2)/4	$g (x) = \frac{3 t^{2}}{4}$