Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
16001	Find the Derivative - d/d@VAR	f(x) = natural log of 2x^2+18	$f (x) = \ln (2 x^{2} + 18)$
16002	Find the Derivative - d/d@VAR	f(x)=xe^x	$f (x) = x e^{x}$
16003	Find the Derivative - d/d@VAR	f(x) = natural log of 100sin(x)^2	$f (x) = \ln (100 \sin^{2} (x))$
16004	Find the Derivative - d/d@VAR	f(x) = natural log of 11x	$f (x) = \ln (11 x)$
16005	Find the Derivative - d/d@VAR	f(x) = natural log of 12-9x^2+2x^4	$f (x) = \ln (12 - 9 x^{2} + 2 x^{4})$
16006	Find the Derivative - d/d@VAR	f(x) = natural log of 15x	$f (x) = \ln (15 x)$
16007	Find the Derivative - d/d@VAR	f(x)=sec(x)- square root of 2tan(x)	$f (x) = \sec (x) - \sqrt{2} \tan (x)$
16008	Find the Derivative - d/d@VAR	f(x)=sin(9 natural log of x)	$f (x) = \sin (9 \ln (x))$
16009	Find the Derivative - d/d@VAR	f(x)=sin(cos(x^2))	$f (x) = \sin (\cos (x^{2}))$
16010	Find the Derivative - d/d@VAR	f(x)=sin(t)	$f (x) = \sin (t)$
16011	Find the Inflection Points	f(x)=3x^4-16x^3+18x^2	$f (x) = 3 x^{4} - 16 x^{3} + 18 x^{2}$
16012	Find the Derivative - d/d@VAR	f(x)=sin(xy^2)	$f (x) = \sin (x y^{2})$
16013	Find the Derivative - d/d@VAR	f(x) = natural log of x+3	$f (x) = \ln (x + 3)$
16014	Find the Derivative - d/d@VAR	f(x) = natural log of x+5	$f (x) = \ln (x + 5)$
16015	Find the Derivative - d/d@VAR	f(x) = log of tan(3x)	$f (x) = \log (\tan (3 x))$
16016	Find the Derivative - d/d@VAR	f(x)=sin(x)^4	$f (x) = \sin^{4} (x)$
16017	Find the Derivative - d/d@VAR	f(x)=tan(5x)	$f (x) = \tan (5 x)$
16018	Find the Derivative - d/d@VAR	f(x)=sin(x)cot(x)	$f (x) = \sin (x) \cot (x)$
16019	Find the Derivative - d/d@VAR	f(x)=tan(sin(x))	$f (x) = \tan (\sin (x))$
16020	Find the Derivative - d/d@VAR	f(x)=sin(x) natural log of 6x	$f (x) = \sin (x) \ln (6 x)$
16021	Find the Derivative - d/d@VAR	f(x)=sin(x)-3cos(2x)	$f (x) = \sin (x) - 3 \cos (2 x)$
16022	Evaluate Using the Squeeze Theorem	limit as x approaches negative infinity of ( square root of x^4-1)/(x^3-1)	$lim_{x \to - \infty} \frac{\sqrt{x^{4} - 1}}{x^{3} - 1}$
16023	Find the Derivative - d/d@VAR	f(x)=x square root of y+y^2	$f (x) = x \sqrt{y} + y^{2}$
16024	Evaluate the Integral	integral from 1 to infinity of 1/(x^3) with respect to x	$\int_{1}^{\infty} \frac{1}{x^{3}} d x$
16025	Find the Derivative - d/d@VAR	f(x)=tan(h(1+e^(2x)))	$f (x) = \tanh (1 + e^{2 x})$
16026	Find the Derivative - d/d@VAR	f(x)=x+112/x	$f (x) = x + \frac{112}{x}$
16027	Find the Derivative - d/d@VAR	f(x)=x+16/x	$f (x) = x + \frac{16}{x}$
16028	Find the Derivative - d/d@VAR	f(x)=xcos(y)	$f (x) = x \cos (y)$
16029	Find the Derivative - d/d@VAR	f(x)=x- natural log of 6x	$f (x) = x - \ln (6 x)$
16030	Find the Derivative - d/d@VAR	f(x)=x- natural log of 8x	$f (x) = x - \ln (8 x)$
16031	Find the Derivative - d/d@VAR	f(x)=x+e^(-4x)	$f (x) = x + e^{- 4 x}$
16032	Find the Derivative - d/d@VAR	f(x)=x-4 natural log of x	$f (x) = x - 4 \ln (x)$
16033	Find the Derivative - d/d@VAR	f(x)=xcot(x)	$f (x) = x \cot (x)$
16034	Find the Derivative - d/d@VAR	g(x) = square root of x+(x-3)^3	$g (x) = \sqrt{x} + {(x - 3)}^{3}$
16035	Find the Derivative - d/d@VAR	g(x)=x/(x-6+1.5)	$g (x) = \frac{x}{x - 6 + 1.5}$
16036	Find the Derivative - d/d@VAR	g(x)=e^x natural log of 3x+11	$g (x) = e^{x} \ln (3 x + 11)$
16037	Find the Derivative - d/d@VAR	g(x) = square root of 1-289x^2arccos(17x)	$g (x) = \sqrt{1 - 289 x^{2}} \arccos (17 x)$
16038	Find the Derivative - d/d@VAR	g(x) = square root of 3-x	$g (x) = \sqrt{3 - x}$
16039	Find the Derivative - d/d@VAR	g(u) = square root of 2u+ square root of 3u	$g (u) = \sqrt{2} u + \sqrt{3 u}$
16040	Find the Derivative - d/d@VAR	g(x)=((x-1)^2)/(x-5)	$g (x) = \frac{{(x - 1)}^{2}}{x - 5}$
16041	Find the Derivative - d/d@VAR	g(x)=(x^2+1)/(x^5)	$g (x) = \frac{x^{2} + 1}{x^{5}}$
16042	Find the Derivative - d/d@VAR	g(t)=cos( natural log of t)	$g (t) = \cos (\ln (t))$
16043	Find the Derivative - d/d@VAR	g(t) = natural log of t^3+1	$g (t) = \ln (t^{3} + 1)$
16044	Find the Derivative - d/d@VAR	g(x)=(x^4-16)(x^2-4)	$g (x) = (x^{4} - 16) (x^{2} - 4)$
16045	Find the Derivative - d/d@VAR	g(x)=(3x^5-7e^x)(9x^4-6x^-1)	$g (x) = (3 x^{5} - 7 e^{x}) (9 x^{4} - 6 x^{- 1})$
16046	Find the Derivative - d/d@VAR	g(t)=2t^(-3/4)	$g (t) = 2 t^{- \frac{3}{4}}$
16047	Find the Derivative - d/d@VAR	g(t)=4t^(-3/8)	$g (t) = 4 t^{- \frac{3}{8}}$
16048	Find the Derivative - d/d@VAR	g(t)=\|3t-4\|	$g (t) = \| 3 t - 4 \|$
16049	Find the Derivative - d/d@VAR	g(t)=(8t)/( natural log of t)	$g (t) = \frac{8 t}{\ln (t)}$
16050	Find the Derivative - d/d@VAR	g(t)=t^2-2/(t^3)	$g (t) = t^{2} - \frac{2}{t^{3}}$
16051	Find the Derivative - d/d@VAR	g(t)=t^2 natural log of e^(2t)+1	$g (t) = t^{2} \ln (e^{2 t} + 1)$
16052	Find the Derivative - d/d@VAR	g(t)=(2t)/(3t-1)	$g (t) = \frac{2 t}{3 t - 1}$
16053	Find the Derivative - d/d@VAR	g(t)=t^2 natural log of e^(2t)+8	$g (t) = t^{2} \ln (e^{2 t} + 8)$
16054	Find the Derivative - d/d@VAR	f(y)=arctan(2y^2-4)	$f (y) = \arctan (2 y^{2} - 4)$
16055	Find the Derivative - d/d@VAR	f(y) = square root of x^2+y^2	$f (y) = \sqrt{x^{2} + y^{2}}$
16056	Find the Derivative - d/d@VAR	f(y)=(1/(y^2)-9/(y^4))(y+3y^3)	$f (y) = (\frac{1}{y^{2}} - \frac{9}{y^{4}}) (y + 3 y^{3})$
16057	Find the Derivative - d/d@VAR	f(x)=x-pi+cos(x)	$f (x) = x - π + \cos (x)$
16058	Find the Derivative - d/d@VAR	f(z)=1/(z^2+1)	$f (z) = \frac{1}{z^{2} + 1}$
16059	Find the Derivative - d/d@VAR	g(x)=cos(x)-5sin(x)	$g (x) = \cos (x) - 5 \sin (x)$
16060	Find the Derivative - d/d@VAR	g(r)=r^2 natural log of 2r+1	$g (r) = r^{2} \ln (2 r + 1)$
16061	Find the Derivative - d/d@VAR	g(t)=((t-2)/(2t+1))^9	$g (t) = {(\frac{t - 2}{2 t + 1})}^{9}$
16062	Find the Derivative - d/d@VAR	g(t)=(e^(2t))/(1+e^(2t))	$g (t) = \frac{e^{2 t}}{1 + e^{2 t}}$
16063	Find the Derivative - d/d@VAR	g(t)=(e^(-t))/(1+t^2)	$g (t) = \frac{e^{- t}}{1 + t^{2}}$
16064	Find the Derivative - d/d@VAR	h(x)=5x^2(4x+7)^4	$h (x) = 5 x^{2} {(4 x + 7)}^{4}$
16065	Find the Derivative - d/d@VAR	h(x)=( natural log of x)/(x^2)	$h (x) = \frac{\ln (x)}{x^{2}}$
16066	Find the Derivative - d/d@VAR	h(x)=7x^2(6x+9^4)	$h (x) = 7 x^{2} (6 x + 9^{4})$
16067	Find the Derivative - d/d@VAR	k(x)=-0.5x^2+150x+2000	$k (x) = - 0.5 x^{2} + 150 x + 2000$
16068	Find the Derivative - d/d@VAR	h(x)=(2x^2-8x+11)^8	$h (x) = {(2 x^{2} - 8 x + 11)}^{8}$
16069	Find the Derivative - d/d@VAR	h(x)=(x^3-1)^3	$h (x) = {(x^{3} - 1)}^{3}$
16070	Find the Derivative - d/d@VAR	h(x)=sin(x)cos(x)	$h (x) = \sin (x) \cos (x)$
16071	Find the Derivative - d/d@VAR	h(x)=(x-3)(3x+6)	$h (x) = (x - 3) (3 x + 6)$
16072	Find the Derivative - d/d@VAR	h(t)=6cos(pi/6t)+8	$h (t) = 6 \cos (\frac{π}{6} t) + 8$
16073	Find the Derivative - d/d@VAR	H(x)=(x+x^-1)^3	$H (x) = {(x + x^{- 1})}^{3}$
16074	Find the Derivative - d/d@VAR	g(x)=x^2-4	$g (x) = x^{2} - 4$
16075	Find the Derivative - d/d@VAR	g(x)=x^6(7.9)^x	$g (x) = x^{6} {(7.9)}^{x}$
16076	Find the Derivative - d/d@VAR	g(x)=2(4-9x)^4	$g (x) = 2 {(4 - 9 x)}^{4}$
16077	Find the Derivative - d/d@VAR	g(x)=3e^x square root of x	$g (x) = 3 e^{x} \sqrt{x}$
16078	Find the Derivative - d/d@VAR	g(x)=3x^4-30x^2+27	$g (x) = 3 x^{4} - 30 x^{2} + 27$
16079	Find the Derivative - d/d@VAR	g(x)=8tan(4x)	$g (x) = 8 \tan (4 x)$
16080	Find the Derivative - d/d@VAR	g(x) = natural log of e^x+ natural log of x	$g (x) = \ln (e^{x} + \ln (x))$
16081	Find the Derivative - d/d@VAR	g(x)=4(3-9x)^3	$g (x) = 4 {(3 - 9 x)}^{3}$
16082	Find the Derivative - d/d@VAR	g(y)=((y-1)^3)/((y^2+2y)^9)	$g (y) = \frac{{(y - 1)}^{3}}{{(y^{2} + 2 y)}^{9}}$
16083	Find the Derivative - d/d@VAR	G(y)=((y-1)^6)/((y^2+2y)^9)	$G (y) = \frac{{(y - 1)}^{6}}{{(y^{2} + 2 y)}^{9}}$
16084	Find the Derivative - d/d@VAR	g(y)=(y-1)/(y^2-3y+3)	$g (y) = \frac{y - 1}{y^{2} - 3 y + 3}$
16085	Find the Derivative - d/d@VAR	g(y)=(y-2)/(y^2-2y+4)	$g (y) = \frac{y - 2}{y^{2} - 2 y + 4}$
16086	Find the Derivative - d/d@VAR	g(y)=(y-6)/(y^2-2y+12)	$g (y) = \frac{y - 6}{y^{2} - 2 y + 12}$
16087	Find the Derivative - d/d@VAR	G(y) = natural log of ((4y+1)^2)/( square root of y^2+1)	$G (y) = \ln (\frac{{(4 y + 1)}^{2}}{\sqrt{y^{2} + 1}})$
16088	Find the Derivative - d/d@VAR	h(s)=1/(s-2)	$h (s) = \frac{1}{s - 2}$
16089	Find the Derivative - d/d@VAR	h(t)=12csc(t)+tcot(t)	$h (t) = 12 \csc (t) + t \cot (t)$
16090	Find the Derivative - d/d@VAR	p(x)=8x	$p (x) = 8 x$
16091	Find the Derivative - d/d@VAR	h(x)=2/x-15sec(x)	$h (x) = \frac{2}{x} - 15 \sec (x)$
16092	Find the Derivative - d/d@VAR	j(x)=(4x+11)/(x^2-3)	$j (x) = \frac{4 x + 11}{x^{2} - 3}$
16093	Find the Derivative - d/d@VAR	p(x)=31-x/34	$p (x) = 31 - \frac{x}{34}$
16094	Find the Derivative - d/d@VAR	p(x)=40-3 square root of 5	$p (x) = 40 - 3 \sqrt{5}$
16095	Find the Derivative - d/d@VAR	P(x)=-1.50x^2+150x-3500	$P (x) = - 1.5 x^{2} + 150 x - 3500$
16096	Find the Derivative - d/d@VAR	q(r)=(3r)/(5r+2)	$q (r) = \frac{3 r}{5 r + 2}$
16097	Find the Derivative - d/d@VAR	P(t)=(t^2+100) natural log of t+2	$P (t) = (t^{2} + 100) \ln (t + 2)$
16098	Find the Derivative - d/d@VAR	h(x) = natural log of 2x^2+18	$h (x) = \ln (2 x^{2} + 18)$
16099	Find the Derivative - d/d@VAR	h(y)=(b/(a+y^4))^3	$h (y) = {(\frac{b}{a + y^{4}})}^{3}$
16100	Find the Derivative - d/d@VAR	h(z)=(4z^2-3z+6)^4	$h (z) = {(4 z^{2} - 3 z + 6)}^{4}$