Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
40801	Find the Derivative - d/d@VAR	f(x) = natural log of natural log of t+ natural log of natural log of 2	$f (x) = \ln (\ln (t)) + \ln (\ln (2))$
40802	Find the Derivative - d/d@VAR	f(x) = natural log of 9x-7* square root of 7x^3+2x^2-5	$f (x) = \ln (9 x - 7) \cdot \sqrt{7 x^{3} + 2 x^{2} - 5}$
40803	Find the Derivative - d/d@VAR	f(x) = natural log of arcsin(sin(sec(x)))	$f (x) = \ln (\arcsin (\sin (\sec (x))))$
40804	Find the Derivative - d/d@VAR	f(x) = natural log of cos( square root of x)	$f (x) = \ln (\cos (\sqrt{x}))$
40805	Find the Derivative - d/d@VAR	f(x) = natural log of cos( cube root of x)	$f (x) = \ln (\cos (\sqrt[3]{x}))$
40806	Find the Derivative - d/d@VAR	f(x) = natural log of cos( cube root of x+2)	$f (x) = \ln (\cos (\sqrt[3]{x + 2}))$
40807	Find the Derivative - d/d@VAR	f(x) = natural log of cot(x)-csc(x)	$f (x) = \ln (\cot (x) - \csc (x))$
40808	Find the Derivative - d/d@VAR	f(x) = natural log of g(x)	$f (x) = \ln (g (x))$
40809	Find the Derivative - d/d@VAR	f(x) = natural log of 5x^2-9x+1	$f (x) = \ln (5 x^{2} - 9 x + 1)$
40810	Find the Derivative - d/d@VAR	f(x) = natural log of -5x^5+14x+8	$f (x) = \ln (- 5 x^{5} + 14 x + 8)$
40811	Find the Derivative - d/d@VAR	f(x) = natural log of 5cos(2x)+tan(3x)^2	$f (x) = \ln (5 \cos (2 x) + \tan^{2} (3 x))$
40812	Find the Derivative - d/d@VAR	f(x) = natural log of 6x^2+5	$f (x) = \ln (6 x^{2} + 5)$
40813	Find the Derivative - d/d@VAR	f(x) = natural log of 6x^2-5x+4	$f (x) = \ln (6 x^{2} - 5 x + 4)$
40814	Find the Derivative - d/d@VAR	f(x) = natural log of 6x^2-7x+5	$f (x) = \ln (6 x^{2} - 7 x + 5)$
40815	Find the Derivative - d/d@VAR	f(x) = natural log of 7+x^2	$f (x) = \ln (7 + x^{2})$
40816	Find the Derivative - d/d@VAR	f(x) = natural log of 7x	$f (x) = \ln (7 x)$
40817	Find the Derivative - d/d@VAR	f(x) = natural log of (8x)/(x+1)	$f (x) = \ln (\frac{8 x}{x + 1})$
40818	Find the Derivative - d/d@VAR	f(x) = natural log of 8x^2-7x+12+ natural log of 8	$f (x) = \ln (8 x^{2} - 7 x + 12) + \ln (8)$
40819	Find the Derivative - d/d@VAR	f(x) = natural log of 8+e^(8x)	$f (x) = \ln (8 + e^{8 x})$
40820	Find the Derivative - d/d@VAR	f(x) = natural log of 6x^3-41x+8	$f (x) = \ln (6 x^{3} - 41 x + 8)$
40821	Find the Derivative - d/d@VAR	f(x) = natural log of 4x-3	$f (x) = \ln (4 x - 3)$
40822	Find the Derivative - d/d@VAR	f(x) = natural log of 3x^5+6	$f (x) = \ln (3 x^{5} + 6)$
40823	Find the Derivative - d/d@VAR	f(x) = natural log of 30x+(85(y^2))/(569x^3.63x^6)	$f (x) = \ln (30 x + \frac{85 (y^{2})}{569 x^{3.63} x^{6}})$
40824	Find the Derivative - d/d@VAR	f(x) = natural log of 3t^2+5t-7	$f (x) = \ln (3 t^{2} + 5 t - 7)$
40825	Find the Derivative - d/d@VAR	f(x) = natural log of 3te^(-t)	$f (x) = \ln (3 t e^{- t})$
40826	Find the Derivative - d/d@VAR	f(x) = natural log of 3x^2+5	$f (x) = \ln (3 x^{2} + 5)$
40827	Find the Derivative - d/d@VAR	f(x) = natural log of 3x^2-1	$f (x) = \ln (3 x^{2} - 1)$
40828	Find the Derivative - d/d@VAR	f(x) = natural log of 5t^2-t	$f (x) = \ln (5 t^{2} - t)$
40829	Find the Derivative - d/d@VAR	f(x) = natural log of -5x^2+12x-3	$f (x) = \ln (- 5 x^{2} + 12 x - 3)$
40830	Find the Derivative - d/d@VAR	f(x) = natural log of 5x^2+4x+2	$f (x) = \ln (5 x^{2} + 4 x + 2)$
40831	Find the Derivative - d/d@VAR	f(x)=- natural log of 5x^2+7	$f (x) = - \ln (5 x^{2} + 7)$
40832	Find the Derivative - d/d@VAR	f(x) = natural log of 5x^2-3x+1	$f (x) = \ln (5 x^{2} - 3 x + 1)$
40833	Find the Derivative - d/d@VAR	f(x) = natural log of 5x^2-3x+9	$f (x) = \ln (5 x^{2} - 3 x + 9)$
40834	Find the Derivative - d/d@VAR	f(x) = natural log of 3x+4	$f (x) = \ln (3 x + 4)$
40835	Find the Derivative - d/d@VAR	f(x) = natural log of 3x-4	$f (x) = \ln (3 x - 4)$
40836	Find the Derivative - d/d@VAR	f(x) = natural log of 3x-4-cos(c)	$f (x) = \ln (3 x - 4 - \cos (c))$
40837	Find the Derivative - d/d@VAR	f(x) = natural log of 3x-4-sin(x)	$f (x) = \ln (3 x - 4 - \sin (x))$
40838	Find the Derivative - d/d@VAR	f(x) = natural log of 4e^x	$f (x) = \ln (4) e^{x}$
40839	Find the Derivative - d/d@VAR	f(x) = natural log of 4 square root of x	$f (x) = \ln (4 \sqrt{x})$
40840	Find the Derivative - d/d@VAR	f(x) = natural log of 4x^2-3x+1	$f (x) = \ln (4 x^{2} - 3 x + 1)$
40841	Find the Derivative - d/d@VAR	f(x) = natural log of 4x^2-5x+3	$f (x) = \ln (4 x^{2} - 5 x + 3)$
40842	Find the Derivative - d/d@VAR	f(x) = natural log of 4-5x	$f (x) = \ln (4 - 5 x)$
40843	Find the Derivative - d/d@VAR	f(x) = natural log of 49sin(x)^2	$f (x) = \ln (49 \sin^{2} (x))$
40844	Find the Derivative - d/d@VAR	f(x) = natural log of 4-9+8	$f (x) = \ln (4 - 9 + 8)$
40845	Find the Derivative - d/d@VAR	g(x)=cos(5x)^3	$g (x) = \cos^{3} (5 x)$
40846	Find the Derivative - d/d@VAR	g(x)=cos(5x)^5	$g (x) = \cos^{5} (5 x)$
40847	Find the Derivative - d/d@VAR	g(x)=sin(9x)^2-pi	$g (x) = \sin^{2} (9 x) - π$
40848	Find the Derivative - d/d@VAR	g(x)=x^2sec(e^(5x))	$g (x) = x^{2} \sec (e^{5 x})$
40849	Find the Derivative - d/d@VAR	g(x)=cos(8x)^6	$g (x) = \cos^{6} (8 x)$
40850	Find the Derivative - d/d@VAR	g(x)=e^x(tan(x-x))	$g (x) = e^{x} (\tan (x - x))$
40851	Find the Derivative - d/d@VAR	g(x)=8cos(x)^2	$g (x) = 8 \cos^{2} (x)$
40852	Find the Derivative - d/d@VAR	f(x)=\|x\|	$f (x) = \| x \|$
40853	Find the Derivative - d/d@VAR	g(P)=4P^7	$g (P) = 4 P^{7}$
40854	Find the Derivative - d/d@VAR	g(p)=p natural log of 2p+1	$g (p) = p \ln (2 p + 1)$
40855	Find the Derivative - d/d@VAR	g(p)=p natural log of 6p+7	$g (p) = p \ln (6 p + 7)$
40856	Find the Derivative - d/d@VAR	g(r)=(7r-3)/(e^r+9)	$g (r) = \frac{7 r - 3}{e^{r} + 9}$
40857	Find the Derivative - d/d@VAR	g(r)=(3r^3+4r+6)(r^2+2)	$g (r) = (3 r^{3} + 4 r + 6) (r^{2} + 2)$
40858	Find the Derivative - d/d@VAR	g(r)=(5r^3+3r+1)(r^2+3)	$g (r) = (5 r^{3} + 3 r + 1) (r^{2} + 3)$
40859	Find the Derivative - d/d@VAR	g(r)=(6r^3+3r+8)(r^2+7)	$g (r) = (6 r^{3} + 3 r + 8) (r^{2} + 7)$
40860	Find the Derivative - d/d@VAR	g(r)=(8r^3+5r+6)(r^2+8)	$g (r) = (8 r^{3} + 5 r + 6) (r^{2} + 8)$
40861	Find the Derivative - d/d@VAR	g(r)=r^3+2r^2-4	$g (r) = r^{3} + 2 r^{2} - 4$
40862	Find the Derivative - d/d@VAR	G(r) = square root of r+ fourth root of r	$G (r) = \sqrt{r} + \sqrt[4]{r}$
40863	Find the Derivative - d/d@VAR	G(r) = square root of r+ sixth root of r	$G (r) = \sqrt{r} + \sqrt[6]{r}$
40864	Find the Derivative - d/d@VAR	G(r) = square root of r+ ninth root of r	$G (r) = \sqrt{r} + \sqrt[9]{r}$
40865	Find the Derivative - d/d@VAR	g(r) = square root of r+ cube root of r	$g (r) = \sqrt{r + \sqrt[3]{r}}$
40866	Find the Derivative - d/d@VAR	g(s)=(s-3)(s-5)(s-9)	$g (s) = (s - 3) (s - 5) (s - 9)$
40867	Find the Derivative - d/d@VAR	g(s)=s^2cos(s)	$g (s) = s^{2} \cos (s)$
40868	Find the Derivative - d/d@VAR	g(s)=2s^4-4s^2+7s-1	$g (s) = 2 s^{4} - 4 s^{2} + 7 s - 1$
40869	Find the Derivative - d/d@VAR	g(t)=(e-t+et)^3	$g (t) = {(e - t + e t)}^{3}$
40870	Find the Derivative - d/d@VAR	g(t)=4t-1/8+2 natural log of t+ natural log of 5	$g (t) = 4 t - \frac{1}{8} + 2 \ln (t) + \ln (5)$
40871	Find the Derivative - d/d@VAR	f(x)=x-sin(x)	$f (x) = x - \sin (x)$
40872	Find the Derivative - d/d@VAR	f(x)=xsin(2x)	$f (x) = x \sin (2 x)$
40873	Find the Derivative - d/d@VAR	f(x)=x natural log of xy	$f (x) = x \ln (x y)$
40874	Find the Derivative - d/d@VAR	f(x)=x natural log of y	$f (x) = x \ln (y)$
40875	Find the Derivative - d/d@VAR	g(t)=(t^2cot(t))/5	$g (t) = \frac{t^{2} \cot (t)}{5}$
40876	Find the Derivative - d/d@VAR	g(t)=(1/(t^2))	$g (t) = (\frac{1}{t^{2}})$
40877	Find the Derivative - d/d@VAR	g(t)=((1+sin(3t))/(3-2t))-1	$g (t) = (\frac{1 + \sin (3 t)}{3 - 2 t}) - 1$
40878	Find the Derivative - d/d@VAR	f(x)=xtan(2x)	$f (x) = x \tan (2 x)$
40879	Find the Derivative - d/d@VAR	f(x)=xtan(x)-1	$f (x) = x \tan (x) - 1$
40880	Find the Derivative - d/d@VAR	g(t)=((1+sin(3t))/(3-2t))^-1	$g (t) = {(\frac{1 + \sin (3 t)}{3 - 2 t})}^{- 1}$
40881	Find the Derivative - d/d@VAR	g(t)=(t^2+2)/(2t-7)	$g (t) = \frac{t^{2} + 2}{2 t - 7}$
40882	Find the Derivative - d/d@VAR	G(t)=(1-e^(2t))^2	$G (t) = {(1 - e^{2 t})}^{2}$
40883	Find the Derivative - d/d@VAR	G(t)=(1-2t)/(3+t)	$G (t) = \frac{1 - 2 t}{3 + t}$
40884	Find the Derivative - d/d@VAR	g(t)=(4t+3t)^2(3t^2-9)^3	$g (t) = {(4 t + 3 t)}^{2} {(3 t^{2} - 9)}^{3}$
40885	Find the Derivative - d/d@VAR	g(t)=(4t+3t)^2(3t^2-9)^-3	$g (t) = {(4 t + 3 t)}^{2} {(3 t^{2} - 9)}^{- 3}$
40886	Find the Derivative - d/d@VAR	g(t)=(6at^2)/(t^2+b)	$g (t) = \frac{6 a t^{2}}{t^{2} + b}$
40887	Find the Derivative - d/d@VAR	g(t)=((3+6e^(8t))^14)/( cube root of t^7- natural log of (t)^52)	$g (t) = \frac{{(3 + 6 e^{8 t})}^{14}}{\sqrt[3]{t^{7} - \ln ({(t)}^{52})}}$
40888	Find the Derivative - d/d@VAR	g(t)=(t^2+4)/(5t-3)	$g (t) = \frac{t^{2} + 4}{5 t - 3}$
40889	Find the Derivative - d/d@VAR	g(t)=(t^3-3t-2)/(t^2+1)	$g (t) = \frac{t^{3} - 3 t - 2}{t^{2} + 1}$
40890	Find the Derivative - d/d@VAR	g(t)=1/((t^4+3)^4)	$g (t) = \frac{1}{{(t^{4} + 3)}^{4}}$
40891	Find the Derivative - d/d@VAR	g(t)=1/(t^(1/2))	$g (t) = \frac{1}{t^{\frac{1}{2}}}$
40892	Find the Derivative - d/d@VAR	g(t)=25000/(1+13e^(-0.6t))	$g (t) = \frac{25000}{1 + 13 e^{- 0.6 t}}$
40893	Find the Derivative - d/d@VAR	g(t)=(1+t+t^2)/(t-t^3)	$g (t) = \frac{1 + t + t^{2}}{t - t^{3}}$
40894	Find the Derivative - d/d@VAR	g(t)=(1-4t)/(3+t)	$g (t) = \frac{1 - 4 t}{3 + t}$
40895	Find the Derivative - d/d@VAR	g(t)=2/(t^2)	$g (t) = \frac{2}{t^{2}}$
40896	Find the Derivative - d/d@VAR	g(t)=5/(t^5)	$g (t) = \frac{5}{t^{5}}$
40897	Find the Derivative - d/d@VAR	g(t)=7/(4^t)	$g (t) = \frac{7}{4^{t}}$
40898	Find the Derivative - d/d@VAR	g(t)=7/( square root of t)	$g (t) = \frac{7}{\sqrt{t}}$
40899	Find the Derivative - d/d@VAR	g(t)=(7t)/(t^2+25)	$g (t) = \frac{7 t}{t^{2} + 25}$
40900	Find the Derivative - d/d@VAR	g(t)=(7t)/( natural log of t)	$g (t) = \frac{7 t}{\ln (t)}$