Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
13001	Find the Derivative - d/dx	6e^(-5x)	$6 e^{- 5 x}$
13002	Find the Derivative - d/dx	6e^x-x^2e^x	$6 e^{x} - x^{2} e^{x}$
13003	Find the Derivative - d/dx	6 cube root of x	$6 \sqrt[3]{x}$
13004	Find the Derivative - d/dx	6x^(3/2)	$6 x^{\frac{3}{2}}$
13005	Find the Derivative - d/dx	6sin( square root of x)^6	$6 \sin^{6} (\sqrt{x})$
13006	Find the Derivative - d/dx	6x^5-3x^4+2x^3+8x^2	$6 x^{5} - 3 x^{4} + 2 x^{3} + 8 x^{2}$
13007	Find the Derivative - d/dx	6xe^(-kx)	$6 x e^{- k x}$
13008	Find the Derivative - d/dx	6xe^x	$6 x e^{x}$
13009	Find the Derivative - d/dx	63x^2(3x^3+7)^6	$63 x^{2} {(3 x^{3} + 7)}^{6}$
13010	Find the Derivative - d/dx	63x^3*(6x^2)-24(2x)	$63 x^{3} \cdot (6 x^{2}) - 24 (2 x)$
13011	Find the Derivative - d/dx	65x^0.9	$65 x^{0.9}$
13012	Find the Derivative - d/dx	600-0.5x-(15000+130x)	$600 - 0.5 x - (15000 + 130 x)$
13013	Find the Derivative - d/dx	60x(6-x)	$60 x (6 - x)$
13014	Find the Derivative - d/dx	63 log of x	$63 \log (x)$
13015	Find the Derivative - d/dx	6x^2+6x-12	$6 x^{2} + 6 x - 12$
13016	Find the Derivative - d/dx	6x^2cos(x)cot(x)	$6 x^{2} \cos (x) \cot (x)$
13017	Find the Derivative - d/dx	6x^2 natural log of 6x	$6 x^{2} \ln (6 x)$
13018	Find the Derivative - d/dx	6x^2-2x^3	$6 x^{2} - 2 x^{3}$
13019	Find the Derivative - d/dx	f(x)=(4x^5-4x^2-3)/(8x^2+4x-1)	$f (x) = \frac{4 x^{5} - 4 x^{2} - 3}{8 x^{2} + 4 x - 1}$
13020	Evaluate the Limit	limit as x approaches 3 of (x^2+5x-24)/(x^2-9)	$lim_{x \to 3} \frac{x^{2} + 5 x - 24}{x^{2} - 9}$
13021	Find the Derivative - d/dx	f(x)=(3x^5-2)^20	$f (x) = {(3 x^{5} - 2)}^{20}$
13022	Find the Derivative - d/dx	f(x)=(3x-2x^2)^3	$f (x) = {(3 x - 2 x^{2})}^{3}$
13023	Find the Derivative - d/dx	f(x)=(4-e^(-5x))^9	$f (x) = {(4 - e^{- 5 x})}^{9}$
13024	Find the Derivative - d/dx	f(x)=(3x^2-1)^3	$f (x) = {(3 x^{2} - 1)}^{3}$
13025	Find the Derivative - d/dx	f(x)=(2x-5)^3	$f (x) = {(2 x - 5)}^{3}$
13026	Find the Tangent Line at the Point	g(x)=2x^4 ; (-2,32)	$g (x) = 2 x^{4}$ ; $(- 2, 32)$
13027	Find the Derivative - d/dx	f(x)=(2x-5)^4(8x^2-5)^-3	$f (x) = {(2 x - 5)}^{4} {(8 x^{2} - 5)}^{- 3}$
13028	Find the Derivative - d/dx	f(x)=(2x-6)^4(x^2+x+1)^5	$f (x) = {(2 x - 6)}^{4} {(x^{2} + x + 1)}^{5}$
13029	Find the Derivative - d/dx	f(x)=(2x-7)^10cos(x)	$f (x) = {(2 x - 7)}^{10} \cos (x)$
13030	Find the Derivative - d/dx	f(x)=(2x^6+7)^5	$f (x) = {(2 x^{6} + 7)}^{5}$
13031	Find the Derivative - d/dx	f(x)=(2x)/(x+ square root of x)	$f (x) = \frac{2 x}{x + \sqrt{x}}$
13032	Evaluate the Limit	limit as x approaches 0 of (sin(x))/(8x)	$lim_{x \to 0} \frac{\sin (x)}{8 x}$
13033	Evaluate the Limit	limit as x approaches 1 of (x^2+4x-5)/(x-1)	$lim_{x \to 1} \frac{x^{2} + 4 x - 5}{x - 1}$
13034	Find the Derivative - d/dx	F(x)=(2x+7)^2	$F (x) = {(2 x + 7)}^{2}$
13035	Find the Derivative - d/dx	f(x)=(10x+4)^2(4x^2-7)^-3	$f (x) = {(10 x + 4)}^{2} {(4 x^{2} - 7)}^{- 3}$
13036	Find the Derivative - d/dx	f(x)=(12x-3)^(1/2)	$f (x) = {(12 x - 3)}^{\frac{1}{2}}$
13037	Find the Derivative - d/dx	f(x)=(1-3e^x)^2	$f (x) = {(1 - 3 e^{x})}^{2}$
13038	Find the Derivative - d/dx	f(x)=(6x)^( natural log of 6x)	$f (x) = {(6 x)}^{\ln (6 x)}$
13039	Find the Derivative - d/dx	f(x)=(6x+4)^4	$f (x) = {(6 x + 4)}^{4}$
13040	Find the Derivative - d/dx	f(x)=(5x+7)^2(e^x)	$f (x) = {(5 x + 7)}^{2} (e^{x})$
13041	Find the Derivative - d/dx	f(x)=(-5x+7)^4	$f (x) = {(- 5 x + 7)}^{4}$
13042	Find the Derivative - d/dx	f(x)=(4x^4-3x^2+3)^4	$f (x) = {(4 x^{4} - 3 x^{2} + 3)}^{4}$
13043	Find the Derivative - d/d@VAR	f(x) = square root of x-7 cube root of x	$f (x) = \sqrt{x} - 7 \sqrt[3]{x}$
13044	Find the Derivative - d/dx	f(x)=(8x+2)^2	$f (x) = {(8 x + 2)}^{2}$
13045	Find the Derivative - d/dx	f(x)=(8x-15)^60	$f (x) = {(8 x - 15)}^{60}$
13046	Find the Derivative - d/dx	f(x)=(7x+1)^2	$f (x) = {(7 x + 1)}^{2}$
13047	Find the Derivative - d/d@VAR	F(x)=(6x+5)^2	$F (x) = {(6 x + 5)}^{2}$
13048	Find the Derivative - d/d@VAR	f(x)=(6x-5)^(1/2)	$f (x) = {(6 x - 5)}^{\frac{1}{2}}$
13049	Find the Derivative - d/dx	f(x)=(8x-7)^(1/2)	$f (x) = {(8 x - 7)}^{\frac{1}{2}}$
13050	Find the Derivative - d/dx	f(x)=( natural log of x)/x	$f (x) = \frac{\ln (x)}{x}$
13051	Find the Derivative - d/dx	f(x)=(cot(2x))/(csc(5x))	$f (x) = \frac{\cot (2 x)}{\csc (5 x)}$
13052	Find the Derivative - d/dx	f(x)=(x+4)^(6/7)	$f (x) = {(x + 4)}^{\frac{6}{7}}$
13053	Find the Derivative - d/dx	f(x)=(x+6)/(x-2)	$f (x) = \frac{x + 6}{x - 2}$
13054	Find the Derivative - d/d@VAR	f(x)=5x+2/x	$f (x) = 5 x + \frac{2}{x}$
13055	Find the Derivative - d/dx	f(x)=(8x+ square root of x)(5x^2+3)	$f (x) = (8 x + \sqrt{x}) (5 x^{2} + 3)$
13056	Find the Derivative - d/dx	f(x)=(x-1)e^(-x)	$f (x) = (x - 1) e^{- x}$
13057	Find the Derivative - d/dx	f(x)=(6/7)^(2/3)	$f (x) = {(\frac{6}{7})}^{\frac{2}{3}}$
13058	Find the Derivative - d/dt	( cube root of t)/(t-6)	$\frac{\sqrt[3]{t}}{t - 6}$
13059	Find the Derivative - d/dx	f(x)=(x^3-7)^4	$f (x) = {(x^{3} - 7)}^{4}$
13060	Find the Derivative - d/dx	F(x)=(x^3-5x)^4	$F (x) = {(x^{3} - 5 x)}^{4}$
13061	Find the Derivative - d/dx	f(x)=(3x^2-4x)e^x	$f (x) = (3 x^{2} - 4 x) e^{x}$
13062	Find the Derivative - d/dx	f(x)=(4x^2-x)(x^3-8x^2+12)	$f (x) = (4 x^{2} - x) (x^{3} - 8 x^{2} + 12)$
13063	Find the Derivative - d/dx	f(x)=(5x^3-3)(7x^3-x)	$f (x) = (5 x^{3} - 3) (7 x^{3} - x)$
13064	Find the Derivative - d/dx	f(x)=(6x^2-12x+12)e^x	$f (x) = (6 x^{2} - 12 x + 12) e^{x}$
13065	Find the Derivative - d/dx	f(x)=(6x+4)e^(2x)	$f (x) = (6 x + 4) e^{2 x}$
13066	Find the Derivative - d/dx	f(x)=(7x^4-5x^3+6x) natural log of x	$f (x) = (7 x^{4} - 5 x^{3} + 6 x) \ln (x)$
13067	Find the Derivative - d/dx	f(x)=(arcsin(e^(-3x)))	$f (x) = (\arcsin (e^{- 3 x}))$
13068	Find the Derivative - d/dx	f(x)=(v- square root of v)(v^2+ square root of v)	$f (x) = (v - \sqrt{v}) (v^{2} + \sqrt{v})$
13069	Find the Derivative - d/dx	f(x)=1/t+1	$f (x) = \frac{1}{t} + 1$
13070	Find the Derivative - d/dx	f(x)=1/(8-x)	$f (x) = \frac{1}{8 - x}$
13071	Find the Derivative - d/dx	f(x)=1/(8x-1)	$f (x) = \frac{1}{8 x - 1}$
13072	Find the Derivative - d/dx	f(x)=1/(6x-5)	$f (x) = \frac{1}{6 x - 5}$
13073	Find the Derivative - d/dx	f(x)=1/(7x-3)	$f (x) = \frac{1}{7 x - 3}$
13074	Find the Derivative - d/dx	f(x)=1/8x^2*(4 square root of x)	$f (x) = \frac{1}{8} x^{2} \cdot (4 \sqrt{x})$
13075	Find the Derivative - d/dx	f(x)=1/(3x-1)	$f (x) = \frac{1}{3 x - 1}$
13076	Find the Derivative - d/dx	f(x)=1/2x^6-3x^4+x	$f (x) = \frac{1}{2} x^{6} - 3 x^{4} + x$
13077	Find the Derivative - d/dx	f(x)=1/2x^(-1/2)	$f (x) = \frac{1}{2} x^{- \frac{1}{2}}$
13078	Find the Derivative - d/dx	f(x)=1/2x-1/6	$f (x) = \frac{1}{2} x - \frac{1}{6}$
13079	Find the Derivative - d/dx	f(x)=1/(x^2+7x-6)	$f (x) = \frac{1}{x^{2} + 7 x - 6}$
13080	Find the Derivative - d/dx	f(x)=1/( fourth root of x^3)	$f (x) = \frac{1}{\sqrt[4]{x^{3}}}$
13081	Find the Derivative - d/dx	f(x)=1/( seventh root of x)	$f (x) = \frac{1}{\sqrt[7]{x}}$
13082	Find the Derivative - d/dx	f(x)=-1/(x^2)	$f (x) = - \frac{1}{x^{2}}$
13083	Find the Derivative - d/dx	f(x)=\|x-6\|	$f (x) = \| x - 6 \|$
13084	Find the Derivative - d/dx	f(x)=1/( square root of 4x^2+1)	$f (x) = \frac{1}{\sqrt{4 x^{2} + 1}}$
13085	Find the Derivative - d/dx	f(x)=1/(t^2)	$f (x) = \frac{1}{t^{2}}$
13086	Find the Derivative - d/dx	f(x)=2^80	$f (x) = 2^{80}$
13087	Find the Derivative - d/dx	f(x)=2^(80x)	$f (x) = 2^{80 x}$
13088	Find the Derivative - d/dx	F(x)=2/3x^6	$F (x) = \frac{2}{3} x^{6}$
13089	Find the Derivative - d/dx	f(x)=2/3x^9	$f (x) = \frac{2}{3} x^{9}$
13090	Find the Derivative - d/dx	f(x)=2/(1-u)	$f (x) = \frac{2}{1 - u}$
13091	Find the Derivative - d/dx	f(x)=2/(3x^6)	$f (x) = \frac{2}{3 x^{6}}$
13092	Find the Derivative - d/dx	f(x)=2/5x^10	$f (x) = \frac{2}{5} x^{10}$
13093	Find the Derivative - d/dx	f(x)=2/( fifth root of x^2)	$f (x) = \frac{2}{\sqrt[5]{x^{2}}}$
13094	Evaluate the Integral	integral of 15x^4 with respect to x	$\int 15 x^{4} d x$
13095	Find the Derivative - d/dx	f(x)=2/((8)^3)	$f (x) = \frac{2}{{(8)}^{3}}$
13096	Find the Derivative - d/dx	f(x)=10^(x^2)	$f (x) = 10^{x^{2}}$
13097	Graph	4x^3-9x^4	$4 x^{3} - 9 x^{4}$
13098	Find the Derivative - d/dx	f(x)=1/(x-9)	$f (x) = \frac{1}{x - 9}$
13099	Find the Derivative - d/dx	f(x)=(12x^2-1x+2)/(3x+2)	$f (x) = \frac{12 x^{2} - 1 x + 2}{3 x + 2}$
13100	Find the Derivative - d/dx	f(x)=10/(14-x^2)	$f (x) = \frac{10}{14 - x^{2}}$