Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
41001	Find the Derivative - d/d@VAR	g(x)=(e^(2x)-1)/(e^x+1)	$g (x) = \frac{e^{2 x} - 1}{e^{x} + 1}$
41002	Find the Derivative - d/d@VAR	g(x)=(x^2+x+1)^10tan(x)^3	$g (x) = {(x^{2} + x + 1)}^{10} \tan^{3} (x)$
41003	Find the Derivative - d/d@VAR	g(x)=(x^2-100)/(x+10)	$g (x) = \frac{x^{2} - 100}{x + 10}$
41004	Find the Derivative - d/d@VAR	g(x)=(x^2-16)/(x+4)	$g (x) = \frac{x^{2} - 16}{x + 4}$
41005	Find the Derivative - d/d@VAR	g(x)=(x^2-4)/(x+0.5)	$g (x) = \frac{x^{2} - 4}{x + 0.5}$
41006	Find the Derivative - d/d@VAR	g(x)=(3x-6)/(5x+7)	$g (x) = \frac{3 x - 6}{5 x + 7}$
41007	Find the Derivative - d/d@VAR	g(x)=-(4 fourth root of 5)/7	$g (x) = - \frac{4 \sqrt[4]{5}}{7}$
41008	Find the Derivative - d/d@VAR	g(x)=4^(arcsec(x))	$g (x) = 4^{arcsec (x)}$
41009	Find the Derivative - d/d@VAR	g(x)=(4x-5)/(6x+7)	$g (x) = \frac{4 x - 5}{6 x + 7}$
41010	Find the Derivative - d/d@VAR	g(x)=5/(4 fifth root of x)	$g (x) = \frac{5}{4 \sqrt[5]{x}}$
41011	Find the Derivative - d/d@VAR	g(x)=(5x-2)/(8x+3)+x^3	$g (x) = \frac{5 x - 2}{8 x + 3} + x^{3}$
41012	Find the Derivative - d/d@VAR	g(x)=(5x-4)/(2x+9)+x^3	$g (x) = \frac{5 x - 4}{2 x + 9} + x^{3}$
41013	Find the Derivative - d/d@VAR	g(x)=600/((x+4)^2)	$g (x) = \frac{600}{{(x + 4)}^{2}}$
41014	Find the Derivative - d/d@VAR	g(x)=67/((7x+2)^2)	$g (x) = \frac{67}{{(7 x + 2)}^{2}}$
41015	Find the Derivative - d/d@VAR	g(x)=(6x-1)/(5x+1)	$g (x) = \frac{6 x - 1}{5 x + 1}$
41016	Find the Derivative - d/d@VAR	g(x)=(6x-5)/(9x+7)+x^3	$g (x) = \frac{6 x - 5}{9 x + 7} + x^{3}$
41017	Find the Derivative - d/d@VAR	g(x)=(6x-7)/(7x+2)*x^3	$g (x) = \frac{6 x - 7}{7 x + 2} \cdot x^{3}$
41018	Find the Derivative - d/d@VAR	g(x)=(7x-5)/(5x+8)+x^3	$g (x) = \frac{7 x - 5}{5 x + 8} + x^{3}$
41019	Find the Derivative - d/d@VAR	g(x)=(8x^3-1)/(2x-1)	$g (x) = \frac{8 x^{3} - 1}{2 x - 1}$
41020	Find the Derivative - d/d@VAR	g(x)=(9x-5)/(7x+1)+x^3	$g (x) = \frac{9 x - 5}{7 x + 1} + x^{3}$
41021	Find the Derivative - d/d@VAR	g(x)=(arcsin(3x))/x	$g (x) = \frac{\arcsin (3 x)}{x}$
41022	Find the Derivative - d/d@VAR	g(x)=e^(0.5x)+0.5xe^(0.5x)	$g (x) = e^{0.5 x} + 0.5 x e^{0.5 x}$
41023	Find the Derivative - d/d@VAR	g(x)=e^(1-x^3)	$g (x) = e^{1 - x^{3}}$
41024	Find the Derivative - d/d@VAR	g(x)=e^(3x)	$g (x) = e^{3 x}$
41025	Find the Derivative - d/d@VAR	g(x)=e^(-3x+1)cos(2x)	$g (x) = e^{- 3 x + 1} \cos (2 x)$
41026	Find the Derivative - d/d@VAR	g(x)=e^(-6x)cos(7x)	$g (x) = e^{- 6 x} \cos (7 x)$
41027	Find the Derivative - d/d@VAR	g(x)=e^t	$g (x) = e^{t}$
41028	Find the Derivative - d/d@VAR	g(x)=(x^2+2x-7)/(x+4)	$g (x) = \frac{x^{2} + 2 x - 7}{x + 4}$
41029	Find the Derivative - d/d@VAR	g(x)=(x^2-1)/(x-1)	$g (x) = \frac{x^{2} - 1}{x - 1}$
41030	Find the Derivative - d/d@VAR	G(x)=(x^2-2)/(2x+1)	$G (x) = \frac{x^{2} - 2}{2 x + 1}$
41031	Find the Derivative - d/d@VAR	g(x)=(x^2-81)/(x-9)	$g (x) = \frac{x^{2} - 81}{x - 9}$
41032	Find the Derivative - d/d@VAR	g(x)=(x^3)/(tan(x))	$g (x) = \frac{x^{3}}{\tan (x)}$
41033	Find the Derivative - d/d@VAR	G(X)=\|F(X)\|	$G (X) = \| F (X) \|$
41034	Find the Derivative - d/d@VAR	g(x)=1/2*(e)^(1/2x)	$g (x) = \frac{1}{2} \cdot {(e)}^{\frac{1}{2} x}$
41035	Find the Derivative - d/d@VAR	g(x)=1/2x^4	$g (x) = \frac{1}{2} x^{4}$
41036	Find the Derivative - d/d@VAR	g(x)=1/2x^4-x^3+11	$g (x) = \frac{1}{2} x^{4} - x^{3} + 11$
41037	Find the Derivative - d/d@VAR	g(x)=1/4x+2	$g (x) = \frac{1}{4} x + 2$
41038	Find the Derivative - d/d@VAR	g(x)=-1/4x+2	$g (x) = - \frac{1}{4} x + 2$
41039	Find the Derivative - d/d@VAR	g(x)=1/(sin(x))	$g (x) = \frac{1}{\sin (x)}$
41040	Find the Derivative - d/d@VAR	g(x)=1/x	$g (x) = \frac{1}{x}$
41041	Find the Derivative - d/d@VAR	g(x)=(1+2x)/(3-4x)	$g (x) = \frac{1 + 2 x}{3 - 4 x}$
41042	Find the Derivative - d/d@VAR	g(x)=(10t)/(t^2+25)	$g (x) = \frac{10 t}{t^{2} + 25}$
41043	Find the Derivative - d/d@VAR	g(x)=(12( square root of 4-3))/(4-9)	$g (x) = \frac{12 (\sqrt{4} - 3)}{4 - 9}$
41044	Find the Derivative - d/d@VAR	g(x)=( natural log of x-1)/(x-2)	$g (x) = \frac{\ln (x - 1)}{x - 2}$
41045	Find the Derivative - d/d@VAR	g(x) = log base 5 of 4x^2	$g (x) = \log_{5} (4 x^{2})$
41046	Find the Derivative - d/d@VAR	g(x) = log base 5 of 4x^4	$g (x) = \log_{5} (4 x^{4})$
41047	Find the Derivative - d/d@VAR	g(x)=(2x-3)/(6x+7)	$g (x) = \frac{2 x - 3}{6 x + 7}$
41048	Find the Derivative - d/d@VAR	g(x)=(2x-3)/(7x+5)	$g (x) = \frac{2 x - 3}{7 x + 5}$
41049	Find the Derivative - d/d@VAR	g(x)=(2x-5)/(6x+4)	$g (x) = \frac{2 x - 5}{6 x + 4}$
41050	Find the Derivative - d/d@VAR	g(x)=3/(x+1)	$g (x) = \frac{3}{x + 1}$
41051	Find the Derivative - d/d@VAR	g(x)=cot(2 square root of x)^2+ square root of tan(x)-1	$g (x) = \cot^{2} (2 \sqrt{x}) + \sqrt{\tan (x) - 1}$
41052	Find the Derivative - d/d@VAR	g(x)=((2x-1)^4)/0	$g (x) = \frac{{(2 x - 1)}^{4}}{0}$
41053	Find the Derivative - d/d@VAR	g(x)=((x-2)^2)/(x-5)	$g (x) = \frac{{(x - 2)}^{2}}{x - 5}$
41054	Find the Derivative - d/d@VAR	G(x)=((y-1)^6)/((y^2+2y)^9)	$G (x) = \frac{{(y - 1)}^{6}}{{(y^{2} + 2 y)}^{9}}$
41055	Find the Derivative - d/d@VAR	g(x)=10-x	$g (x) = 10 - x$
41056	Find the Derivative - d/d@VAR	g(x)=(-3^x)/(10^2+90x)	$g (x) = \frac{- 3^{x}}{10^{2} + 90 x}$
41057	Find the Derivative - d/d@VAR	g(x)=(3^x)/(7x+6)	$g (x) = \frac{3^{x}}{7 x + 6}$
41058	Find the Derivative - d/d@VAR	g(x)=(e^x)/(x^2-1)	$g (x) = \frac{e^{x}}{x^{2} - 1}$
41059	Find the Derivative - d/d@VAR	g(x)=(e^x)/(1-4x)	$g (x) = \frac{e^{x}}{1 - 4 x}$
41060	Find the Derivative - d/d@VAR	g(x)=(t^2)/(t-11)	$g (x) = \frac{t^{2}}{t - 11}$
41061	Find the Derivative - d/d@VAR	g(x)=( square root of x-3)/(5-x)	$g (x) = \frac{\sqrt{x - 3}}{5 - x}$
41062	Find the Derivative - d/d@VAR	g(x) = square root of 12x	$g (x) = \sqrt{12 x}$
41063	Find the Derivative - d/d@VAR	g(x) = square root of 13	$g (x) = \sqrt{13}$
41064	Find the Derivative - d/d@VAR	g(x) = square root of 13x	$g (x) = \sqrt{13 x}$
41065	Find the Derivative - d/d@VAR	g(x) = square root of 1-9x^2arccos(3x)	$g (x) = \sqrt{1 - 9 x^{2}} \arccos (3 x)$
41066	Find the Derivative - d/d@VAR	g(x) = square root of 2x+3	$g (x) = \sqrt{2 x + 3}$
41067	Find the Derivative - d/d@VAR	g(x) = square root of 3x^2-10	$g (x) = \sqrt{3 x^{2} - 10}$
41068	Find the Derivative - d/d@VAR	g(x) = square root of 49-x^2	$g (x) = \sqrt{49 - x^{2}}$
41069	Find the Derivative - d/d@VAR	g(x) = square root of 5-2x	$g (x) = \sqrt{5 - 2 x}$
41070	Find the Derivative - d/d@VAR	g(x) = square root of 6-x	$g (x) = \sqrt{6 - x}$
41071	Find the Derivative - d/d@VAR	g(x)=sin(pix)^2	$g (x) = \sin^{2} (π x)$
41072	Find the Derivative - d/d@VAR	g(x)=(sin(x))/(x^2)	$g (x) = \frac{\sin (x)}{x^{2}}$
41073	Find the Derivative - d/d@VAR	g(x)=t^2+6t-5	$g (x) = t^{2} + 6 t - 5$
41074	Find the Derivative - d/d@VAR	g(x) = square root of 5-3x	$g (x) = \sqrt{5 - 3 x}$
41075	Find the Derivative - d/d@VAR	g(x) = square root of t^3-t	$g (x) = \sqrt{t^{3} - t}$
41076	Find the Derivative - d/d@VAR	g(x) = square root of x^2+6x+1	$g (x) = \sqrt{x^{2} + 6 x + 1}$
41077	Find the Derivative - d/d@VAR	g(x) = square root of x^2-2x-8	$g (x) = \sqrt{x^{2} - 2 x - 8}$
41078	Find the Derivative - d/d@VAR	g(x) = square root of 1-x^2arccos(x)	$g (x) = \sqrt{1 - x^{2}} \arccos (x)$
41079	Find the Derivative - d/dx	e^(-4x^2)	$e^{- 4 x^{2}}$
41080	Find the Derivative - d/d@VAR	g(x) = square root of sin(4x)	$g (x) = \sqrt{\sin (4 x)}$
41081	Find the Derivative - d/d@VAR	g(x)=4(5-8x)^5	$g (x) = 4 {(5 - 8 x)}^{5}$
41082	Find the Derivative - d/d@VAR	g(x)=3x^2-10x	$g (x) = 3 x^{2} - 10 x$
41083	Find the Derivative - d/d@VAR	g(x)=3x^2-4x	$g (x) = 3 x^{2} - 4 x$
41084	Find the Derivative - d/d@VAR	g(x)=3cot(x-e^(-2x))	$g (x) = 3 \cot (x - e^{- 2 x})$
41085	Find the Derivative - d/d@VAR	g(x)=3p	$g (x) = 3 p$
41086	Find the Derivative - d/d@VAR	g(x)=3sin(y)-ycos(y)	$g (x) = 3 \sin (y) - y \cos (y)$
41087	Find the Derivative - d/d@VAR	g(x)=3x+sin(x)+2	$g (x) = 3 x + \sin (x) + 2$
41088	Find the Derivative - d/d@VAR	G(X)=3X-1	$G (X) = 3 X - 1$
41089	Find the Derivative - d/d@VAR	g(x)=-10x^3+19x^2+7x-69	$g (x) = - 10 x^{3} + 19 x^{2} + 7 x - 69$
41090	Find the Derivative - d/d@VAR	g(x)=100+25x-16x^2	$g (x) = 100 + 25 x - 16 x^{2}$
41091	Find the Derivative - d/d@VAR	g(x)=10x+11x^(10/11)	$g (x) = 10 x + 11 x^{\frac{10}{11}}$
41092	Find the Derivative - d/d@VAR	g(x)=18( square root of x+5)^2-14	$g (x) = 18 {(\sqrt{x + 5})}^{2} - 14$
41093	Find the Derivative - d/d@VAR	g(x)=-2e^(-3x)-3	$g (x) = - 2 e^{- 3 x} - 3$
41094	Find the Derivative - d/d@VAR	g(x)=2t^(-3/4)	$g (x) = 2 t^{- \frac{3}{4}}$
41095	Find the Derivative - d/d@VAR	g(x)=2x^3-6x	$g (x) = 2 x^{3} - 6 x$
41096	Find the Derivative - d/d@VAR	g(x)=2x^4+1/5x^5	$g (x) = 2 x^{4} + \frac{1}{5} x^{5}$
41097	Find the Derivative - d/d@VAR	g(x)=2x-1	$g (x) = 2 x - 1$
41098	Find the Derivative - d/d@VAR	g(x)=-3	$g (x) = - 3$
41099	Find the Derivative - d/d@VAR	g(x)=3(2x^2-3)	$g (x) = 3 (2 x^{2} - 3)$
41100	Find the Derivative - d/d@VAR	g(t)=5/( square root of t)	$g (t) = \frac{5}{\sqrt{t}}$