Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
7301	Find the Derivative - d/dx	y=sin(x)^(cos(x))	$y = {\sin (x)}^{\cos (x)}$
7302	Find the Derivative - d/dx	y=sin(x)^(tan(x))	$y = {\sin (x)}^{\tan (x)}$
7303	Find the Derivative - d/dx	y = square root of 1+2e^(3x)	$y = \sqrt{1 + 2 e^{3 x}}$
7304	Find the Derivative - d/dx	y = square root of x^2+32	$y = \sqrt{x^{2} + 32}$
7305	Find the Derivative - d/dx	y=tan(x)^4	$y = \tan^{4} (x)$
7306	Find the Derivative - d/dx	y=x^2 natural log of 3x	$y = x^{2} \ln (3 x)$
7307	Find the Derivative - d/dx	y=x^2sin(x)+2xcos(x)-2sin(x)	$y = x^{2} \sin (x) + 2 x \cos (x) - 2 \sin (x)$
7308	Find the Derivative - d/dx	y=x^3-(x^2)/28+8x+1	$y = x^{3} - \frac{x^{2}}{28} + 8 x + 1$
7309	Find the Derivative - d/dx	y=x^2-4x	$y = x^{2} - 4 x$
7310	Find the Derivative - d/dx	y=x^2-2x+3	$y = x^{2} - 2 x + 3$
7311	Find the Derivative - d/dx	y=x^2-6x	$y = x^{2} - 6 x$
7312	Find the Derivative - d/dx	y=x^2-7x	$y = x^{2} - 7 x$
7313	Find the Derivative - d/dx	y=x^3-3x^2-24x	$y = x^{3} - 3 x^{2} - 24 x$
7314	Find the Derivative - d/dx	y=x^3-3x+2	$y = x^{3} - 3 x + 2$
7315	Find the Derivative - d/dx	y=xe^(2x)	$y = x e^{2 x}$
7316	Find the Derivative - d/dx	y=(x+1)/(2x-1)	$y = \frac{x + 1}{2 x - 1}$
7317	Find the Derivative - d/dx	y=(x+5)/(x^3+x-4)	$y = \frac{x + 5}{x^{3} + x - 4}$
7318	Find the Derivative - d/dX	y=xe^(-kx)	$y = x e^{- k x}$
7319	Find the Derivative - d/dx	y=(xsin(x))/(3+cos(x))	$y = \frac{x \sin (x)}{3 + \cos (x)}$
7320	Find the Derivative - d/dx	y=x^( natural log of 4x)	$y = x^{\ln (4 x)}$
7321	Find the Derivative - d/dx	y=x^9	$y = x^{9}$
7322	Find the Derivative - d/dx	y=x^6 natural log of x-1/4x^4	$y = x^{6} \ln (x) - \frac{1}{4} x^{4}$
7323	Find the Derivative - d/dx	y=x^3-3x^2	$y = x^{3} - 3 x^{2}$
7324	Find the Derivative - d/dx	y=x^4 natural log of x-1/3x^3	$y = x^{4} \ln (x) - \frac{1}{3} x^{3}$
7325	Find the Derivative - d/dx	y=x^5-1/8x^2+1/4x	$y = x^{5} - \frac{1}{8} x^{2} + \frac{1}{4} x$
7326	Find the Derivative - d/dx	y=x^4 natural log of x-1/3x^3	$y = x^{4} \ln (x - \frac{1}{3} x^{3})$
7327	Find the Derivative - d/dx	y=x^2*e^x	$y = x^{2} \cdot e^{x}$
7328	Find the Derivative - d/dx	y=x^2e^x-2xe^x+4e^x	$y = x^{2} e^{x} - 2 x e^{x} + 4 e^{x}$
7329	Find the Derivative - d/dx	y=x^2e^x-2xe^x+5e^x	$y = x^{2} e^{x} - 2 x e^{x} + 5 e^{x}$
7330	Find the Derivative - d/dx	y=x^2sin(x)^4+xcos(x)^-2	$y = x^{2} \sin^{4} (x) + x \cos^{- 2} (x)$
7331	Find the Derivative - d/dx	y=x^2e^(-3x)	$y = x^{2} e^{- 3 x}$
7332	Find the Derivative - d/dx	y=x^2(x-2)^4	$y = x^{2} {(x - 2)}^{4}$
7333	Find the Derivative - d/dx	y=x^2e^(-1/x)	$y = x^{2} e^{- \frac{1}{x}}$
7334	Find the Derivative - d/dx	y=x^2e^(x^3)	$y = x^{2} e^{x^{3}}$
7335	Find the Derivative - d/dX	y=X^0.5	$y = X^{0.5}$
7336	Find the Derivative - d/dx	y=x^(4/7)(x+2)	$y = x^{\frac{4}{7}} (x + 2)$
7337	Find the Derivative - d/dx	y=x^(2/5)	$y = x^{\frac{2}{5}}$
7338	Find the Derivative - d/dx	y=x^(3/4)	$y = x^{\frac{3}{4}}$
7339	Find the Derivative - d/dx	y=x^(4/3)	$y = x^{\frac{4}{3}}$
7340	Find the Derivative - d/dx	y = fifth root of 9x	$y = \sqrt[5]{9 x}$
7341	Find the Derivative - d/dx	y = fifth root of 2x	$y = \sqrt[5]{2 x}$
7342	Find the Derivative - d/dx	y=x^(1/2)	$y = x^{\frac{1}{2}}$
7343	Find the Derivative - d/dx	y=x/(1-x)	$y = \frac{x}{1 - x}$
7344	Find the Derivative - d/dx	y=x/11-11/x	$y = \frac{x}{11} - \frac{11}{x}$
7345	Find the Derivative - d/dx	y=x/(x^2+4)	$y = \frac{x}{x^{2} + 4}$
7346	Find the Derivative - d/dx	y = cube root of 18x^2+4	$y = \sqrt[3]{18 x^{2} + 4}$
7347	Find the Derivative - d/dx	y = cube root of 24x^2+8	$y = \sqrt[3]{24 x^{2} + 8}$
7348	Find the Derivative - d/dx	y = square root of ax+a/( square root of ax)	$y = \sqrt{a x} + \frac{a}{\sqrt{a x}}$
7349	Find the Derivative - d/dx	y = square root of sec(2x)	$y = \sqrt{\sec (2 x)}$
7350	Find the Derivative - d/dx	y = square root of tan(x)	$y = \sqrt{\tan (x)}$
7351	Find the Derivative - d/dx	y = square root of xe^(x^2)(x^2+1)^10	$y = \sqrt{x} e^{x^{2}} {(x^{2} + 1)}^{10}$
7352	Find the Derivative - d/dx	y = square root of 7-3x	$y = \sqrt{7 - 3 x}$
7353	Find the Derivative - d/dx	y = square root of cos(x)	$y = \sqrt{\cos (x)}$
7354	Find the Derivative - d/dx	y = square root of 9-7x	$y = \sqrt{9 - 7 x}$
7355	Find the Derivative - d/dx	y = square root of 3x	$y = \sqrt{3 x}$
7356	Find the Derivative - d/dx	y=1/(x^12)	$y = \frac{1}{x^{12}}$
7357	Find the Derivative - d/dx	y=1/2*(x square root of 64-x^2+64arcsin(x/8))	$y = \frac{1}{2} \cdot (x \sqrt{64 - x^{2}} + 64 \arcsin (\frac{x}{8}))$
7358	Find the Derivative - d/dx	y=12/(x^6)	$y = \frac{12}{x^{6}}$
7359	Find the Derivative - d/dx	y=-17/2cos(h(x))+15/2sin(h(x))	$y = - \frac{17}{2} \cdot \cosh (x) + \frac{15}{2} \cdot \sinh (x)$
7360	Find the Derivative - d/dx	y=10^(1-x^2)	$y = 10^{1 - x^{2}}$
7361	Find the Derivative - d/dx	y=(2x^3-5x^2)/(x+2)	$y = \frac{2 x^{3} - 5 x^{2}}{x + 2}$
7362	Find the Derivative - d/dx	y=2/(e^x+e^(-x))	$y = \frac{2}{e^{x} + e^{- x}}$
7363	Find the Derivative - d/dx	y=1/3x^3	$y = \frac{1}{3} x^{3}$
7364	Find the Derivative - d/dx	y=1/2x^-2	$y = \frac{1}{2} x^{- 2}$
7365	Find the Derivative - d/dx	y=1/4*cos(3x)	$y = \frac{1}{4} \cdot \cos (3 x)$
7366	Find the Derivative - d/dx	y=1/(x-1)	$y = \frac{1}{x - 1}$
7367	Find the Derivative - d/dx	y=1/4*tan(6x-4)	$y = \frac{1}{4} \cdot \tan (6 x - 4)$
7368	Find the Derivative - d/dx	y=(3x-9)/(2x+4)	$y = \frac{3 x - 9}{2 x + 4}$
7369	Find the Derivative - d/dX	y=5^(X^3-2)	$y = 5^{X^{3} - 2}$
7370	Find the Derivative - d/dx	y=5^(-1/x)	$y = 5^{- \frac{1}{x}}$
7371	Find the Derivative - d/dx	y=5/( natural log of x)	$y = \frac{5}{\ln (x)}$
7372	Find the Derivative - d/dx	y=(4x)/(x-5)	$y = \frac{4 x}{x - 5}$
7373	Find the Derivative - d/dx	y=2/(7x^2)	$y = \frac{2}{7 x^{2}}$
7374	Find the Derivative - d/dx	y=2/(x+1)	$y = \frac{2}{x + 1}$
7375	Find the Derivative - d/dx	y=(2 natural log of x+3)/(x^2)	$y = \frac{2 \ln (x + 3)}{x^{2}}$
7376	Find the Derivative - d/dx	y=2^(sin(pix))	$y = 2^{\sin (π x)}$
7377	Find the Derivative - d/dx	y=(3(1-sin(x)))/(2cos(x))	$y = \frac{3 (1 - \sin (x))}{2 \cos (x)}$
7378	Find the Derivative - d/dx	y=3/( natural log of x)	$y = \frac{3}{\ln (x)}$
7379	Find the Derivative - d/dx	y=(3-sec(x))/(tan(x))	$y = \frac{3 - \sec (x)}{\tan (x)}$
7380	Find the Derivative - d/dx	y=3^(2x+5)	$y = 3^{2 x + 5}$
7381	Find the Derivative - d/dx	y=3/(x^3)	$y = \frac{3}{x^{3}}$
7382	Find the Derivative - d/dx	y=(5x+1)^2	$y = {(5 x + 1)}^{2}$
7383	Find the Derivative - d/dx	y=(5x^2+11x)^20	$y = {(5 x^{2} + 11 x)}^{20}$
7384	Find the Derivative - d/dx	y=(5x+14)^5	$y = {(5 x + 14)}^{5}$
7385	Find the Derivative - d/dx	y=(x^4+2)^2(x^3+4)^4	$y = {(x^{4} + 2)}^{2} {(x^{3} + 4)}^{4}$
7386	Find the Derivative - d/dx	y=(7x+5)^4	$y = {(7 x + 5)}^{4}$
7387	Find the Derivative - d/dx	y=cos(6x)^x	$y = {\cos (6 x)}^{x}$
7388	Find the Derivative - d/dx	y=(7x+3)^4	$y = {(7 x + 3)}^{4}$
7389	Find the Derivative - d/dx	y=( natural log of x)^(cos(x))	$y = {(\ln (x))}^{\cos (x)}$
7390	Find the Derivative - d/dx	y=sin(5x)^( natural log of x)	$y = {\sin (5 x)}^{\ln (x)}$
7391	Find the Derivative - d/dx	y=((x-7)(x^2+4x))/(x^3)	$y = \frac{(x - 7) (x^{2} + 4 x)}{x^{3}}$
7392	Find the Derivative - d/dx	y=((x+1)^3)/(x^(3/2))	$y = \frac{{(x + 1)}^{3}}{x^{\frac{3}{2}}}$
7393	Find the Derivative - d/dx	y=(7^x)/( log base 7 of x)	$y = \frac{7^{x}}{\log_{7} (x)}$
7394	Find the Derivative - d/dx	y=(x^2)/(5x^6-1)	$y = \frac{x^{2}}{5 x^{6} - 1}$
7395	Find the Derivative - d/dx	y=(x^2+3e^x)/(2e^x-x)	$y = \frac{x^{2} + 3 e^{x}}{2 e^{x} - x}$
7396	Find the Derivative - d/dx	y=(x^2)/(x^2-1)	$y = \frac{x^{2}}{x^{2} - 1}$
7397	Find the Derivative - d/dx	y=(3x^2+7x)^10	$y = {(3 x^{2} + 7 x)}^{10}$
7398	Find the Derivative - d/dx	y=(2x-5)^4(8x^2-5)^-3	$y = {(2 x - 5)}^{4} {(8 x^{2} - 5)}^{- 3}$
7399	Find the Derivative - d/dx	y=(3x^4+1)^4(x^3+4)	$y = {(3 x^{4} + 1)}^{4} (x^{3} + 4)$
7400	Find the Derivative - d/dx	y=(2x+5)^3	$y = {(2 x + 5)}^{3}$