Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
13601	Find the Derivative - d/dx	y=(2x-8)^(2/3)	$y = {(2 x - 8)}^{\frac{2}{3}}$
13602	Find the Derivative - d/dx	y=(2x-8)^4(x^2+x+1)^5	$y = {(2 x - 8)}^{4} {(x^{2} + x + 1)}^{5}$
13603	Find the Derivative - d/dx	y=(2x-6)^4(x^2+x+1)^5	$y = {(2 x - 6)}^{4} {(x^{2} + x + 1)}^{5}$
13604	Find the Derivative - d/dx	y=(2x-5)^2	$y = {(2 x - 5)}^{2}$
13605	Find the Derivative - d/dx	y=(2x-3)^4(x^2+x+1)^5	$y = {(2 x - 3)}^{4} {(x^{2} + x + 1)}^{5}$
13606	Find the Derivative - d/dx	y=(2x+5)/(3x-2)	$y = \frac{2 x + 5}{3 x - 2}$
13607	Find the Derivative - d/dx	y=(300x+300)/((2x+3)^2)	$y = \frac{300 x + 300}{{(2 x + 3)}^{2}}$
13608	Find the Derivative - d/dx	y=(3-5x)^3	$y = {(3 - 5 x)}^{3}$
13609	Find the Derivative - d/dx	y=(3x-2/x)^8	$y = {(3 x - \frac{2}{x})}^{8}$
13610	Find the Derivative - d/dx	y=( log base 6 of x)/(3+x^6)	$y = \frac{\log_{6} (x)}{3 + x^{6}}$
13611	Find the Derivative - d/dx	y=sin(x)^2(x^3)	$y = \sin^{2} (x) (x^{3})$
13612	Find the Derivative - d/dx	y=( cube root of x-7)/( square root of x+3)	$y = \frac{\sqrt[3]{x} - 7}{\sqrt{x} + 3}$
13613	Find the Derivative - d/dx	y=(e^x+e^(-x))/(e^x-e^(-x))	$y = \frac{e^{x} + e^{- x}}{e^{x} - e^{- x}}$
13614	Find the Derivative - d/dx	y=(x^2)/(x^3-1)	$y = \frac{x^{2}}{x^{3} - 1}$
13615	Find the Derivative - d/dx	y=(x^2+9)/x	$y = \frac{x^{2} + 9}{x}$
13616	Find the Derivative - d/dx	y=(x^2+2x)/x	$y = \frac{x^{2} + 2 x}{x}$
13617	Find the Derivative - d/dx	y=(x^2+2x-7)/(x-2)	$y = \frac{x^{2} + 2 x - 7}{x - 2}$
13618	Find the Derivative - d/dx	y=(e^x)/(1+2e^x)	$y = \frac{e^{x}}{1 + 2 e^{x}}$
13619	Find the Derivative - d/dx	y=(e^(2x))/(1+e^(-2x))	$y = \frac{e^{2 x}}{1 + e^{- 2 x}}$
13620	Find the Derivative - d/dx	y = log base 2 of (2x^2-x)^(5/2)	$y = \log_{2} ({(2 x^{2} - x)}^{\frac{5}{2}})$
13621	Find the Derivative - d/dx	y=( natural log of x+4)^2	$y = \ln^{2} (x + 4)$
13622	Find the Derivative - d/dx	y=((x+1)^2)/((x+2)(x+3))	$y = \frac{{(x + 1)}^{2}}{(x + 2) (x + 3)}$
13623	Find the Derivative - d/dx	y=(e^(2x))/(sin(5x))	$y = \frac{e^{2 x}}{\sin (5 x)}$
13624	Find the Derivative - d/dx	y=((3x-2)^6)/((2x+5)^4)	$y = \frac{{(3 x - 2)}^{6}}{{(2 x + 5)}^{4}}$
13625	Find the Derivative - d/dx	y=1/3x^3+3/5x^2+2x-3	$y = \frac{1}{3} x^{3} + \frac{3}{5} x^{2} + 2 x - 3$
13626	Find the Derivative - d/dx	y=(x+(x+(sin(x)^2)^5))^3	$y = {(x + (x + {(\sin^{2} (x))}^{5}))}^{3}$
13627	Find the Derivative - d/dx	y=(x-1)^3	$y = {(x - 1)}^{3}$
13628	Find the Derivative - d/dx	y=(x+ square root of x)^5	$y = {(x + \sqrt{x})}^{5}$
13629	Find the Derivative - d/dx	y=(x+1)^4	$y = {(x + 1)}^{4}$
13630	Find the Derivative - d/dx	y=(x+(x)^(1/2))^(1/2)	$y = {(x + {(x)}^{\frac{1}{2}})}^{\frac{1}{2}}$
13631	Find the Derivative - d/dx	y=(x+1/(x^2))^( square root of 7)	$y = {(x + \frac{1}{x^{2}})}^{\sqrt{7}}$
13632	Find the Derivative - d/dx	y=((x+1)(x+2))/((x-1)(x-2))	$y = \frac{(x + 1) (x + 2)}{(x - 1) (x - 2)}$
13633	Find the Derivative - d/dx	y=(sin(x)+5cos(x))^7	$y = {(\sin (x) + 5 \cos (x))}^{7}$
13634	Find the Derivative - d/dx	y=( natural log of x)^(tan(x))	$y = {(\ln (x))}^{\tan (x)}$
13635	Find the Derivative - d/dx	y=sin(x)^(3x)	$y = {\sin (x)}^{3 x}$
13636	Find the Derivative - d/dx	y=( natural log of x)^2	$y = \ln^{2} (x)$
13637	Find the Derivative - d/dx	y=cos(9x)^x	$y = {\cos (9 x)}^{x}$
13638	Find the Derivative - d/dx	y=cos(x)^4(1-2t)	$y = \cos^{4} (x) (1 - 2 t)$
13639	Find the Derivative - d/dx	y=(csc(x)+cot(x))^-1	$y = {(\csc (x) + \cot (x))}^{- 1}$
13640	Find the Derivative - d/dx	y=(7x+12)^4	$y = {(7 x + 12)}^{4}$
13641	Find the Derivative - d/dx	y=(7x+12)^5	$y = {(7 x + 12)}^{5}$
13642	Find the Derivative - d/dx	y=(7x+18)^5	$y = {(7 x + 18)}^{5}$
13643	Find the Derivative - d/dx	y=(8e^x)/(2e^x+1)	$y = \frac{8 e^{x}}{2 e^{x} + 1}$
13644	Find the Derivative - d/dx	y=975/( cube root of x)	$y = \frac{975}{\sqrt[3]{x}}$
13645	Find the Derivative - d/dx	y=(7-x)^55	$y = {(7 - x)}^{55}$
13646	Find the Derivative - d/dx	y=(7-x)^76	$y = {(7 - x)}^{76}$
13647	Find the Derivative - d/dx	y=(5x-2)/(x^2+1)	$y = \frac{5 x - 2}{x^{2} + 1}$
13648	Find the Derivative - d/dx	y=(5x+19)^5	$y = {(5 x + 19)}^{5}$
13649	Find the Derivative - d/dx	y=(5x+16)^3	$y = {(5 x + 16)}^{3}$
13650	Find the Derivative - d/dx	y=(5x+12)^4	$y = {(5 x + 12)}^{4}$
13651	Find the Derivative - d/dx	y=(5-2x)^-3+1/8*(2/x+1)^4	$y = {(5 - 2 x)}^{- 3} + \frac{1}{8} \cdot {(\frac{2}{x} + 1)}^{4}$
13652	Find the Derivative - d/dx	y=(5-2x)^4	$y = {(5 - 2 x)}^{4}$
13653	Find the Derivative - d/dx	y=(5x+6)^4	$y = {(5 x + 6)}^{4}$
13654	Find the Derivative - d/dx	y=(6-e^x)^5	$y = {(6 - e^{x})}^{5}$
13655	Find the Derivative - d/dx	y=3/(x^7)	$y = \frac{3}{x^{7}}$
13656	Find the Derivative - d/dx	y=(3x^5+6)/(x^3)	$y = \frac{3 x^{5} + 6}{x^{3}}$
13657	Find the Derivative - d/dx	y=(2xsin(x))/(1+cos(x))	$y = \frac{2 x \sin (x)}{1 + \cos (x)}$
13658	Find the Derivative - d/dx	y=(3x^4+9)/(x^2)	$y = \frac{3 x^{4} + 9}{x^{2}}$
13659	Find the Derivative - d/dx	y=(2x-3)/(3x+4)	$y = \frac{2 x - 3}{3 x + 4}$
13660	Find the Derivative - d/dx	y=(2x-7)/(x-7)	$y = \frac{2 x - 7}{x - 7}$
13661	Find the Derivative - d/dx	y=3^(3-x^2)	$y = 3^{3 - x^{2}}$
13662	Find the Derivative - d/dx	y=(3+4x-6 square root of x)/x	$y = \frac{3 + 4 x - 6 \sqrt{x}}{x}$
13663	Find the Derivative - d/dx	y=30/(x^6)	$y = \frac{30}{x^{6}}$
13664	Find the Derivative - d/dx	y=3^(3x)	$y = 3^{3 x}$
13665	Find the Derivative - d/dx	y=(3x)/(x^2-1)	$y = \frac{3 x}{x^{2} - 1}$
13666	Find the Derivative - d/dx	y=-3/(5x+2)	$y = - \frac{3}{5 x + 2}$
13667	Find the Derivative - d/dx	y=3^(-1/x)	$y = 3^{- \frac{1}{x}}$
13668	Find the Derivative - d/dx	y=3/(x+2)	$y = \frac{3}{x + 2}$
13669	Find the Derivative - d/dx	y=3^(8x+1)	$y = 3^{8 x + 1}$
13670	Find the Derivative - d/dx	y=(2x+3)/(3x-2)	$y = \frac{2 x + 3}{3 x - 2}$
13671	Find the Derivative - d/dx	y=(2x-1)/(3x+2)	$y = \frac{2 x - 1}{3 x + 2}$
13672	Find the Derivative - d/dx	y=1/( natural log of 3x)	$y = \frac{1}{\ln (3 x)}$
13673	Find the Derivative - d/dx	y=2^xcsc(2x)+ natural log of cos(x)	$y = 2^{x} \csc (2 x) + \ln (\cos (x))$
13674	Find the Derivative - d/dx	y=(2x)/(x^2-9)	$y = \frac{2 x}{x^{2} - 9}$
13675	Find the Derivative - d/dx	y=(2x)/(7-tan(x))	$y = \frac{2 x}{7 - \tan (x)}$
13676	Find the Derivative - d/dx	y=2x^2+5	$y = 2 x^{2} + 5$
13677	Find the Derivative - d/dx	y=2/(3 square root of x)+1/(4x^2)	$y = \frac{2}{3 \sqrt{x}} + \frac{1}{4 x^{2}}$
13678	Find the Derivative - d/dx	y=2/(3x^3)	$y = \frac{2}{3 x^{3}}$
13679	Find the Derivative - d/dx	y=2/(3x^4)	$y = \frac{2}{3 x^{4}}$
13680	Find the Derivative - d/dx	y=2/(5x^4)	$y = \frac{2}{5 x^{4}}$
13681	Find the Derivative - d/dx	y=2/3*(x^3(4x^5-13)^3)	$y = \frac{2}{3} \cdot (x^{3} {(4 x^{5} - 13)}^{3})$
13682	Find the Derivative - d/dx	y=2/( natural log of x)	$y = \frac{2}{\ln (x)}$
13683	Find the Derivative - d/dx	y=2/(x-9)	$y = \frac{2}{x - 9}$
13684	Find the Derivative - d/dx	y=2^(3x)	$y = 2^{3 x}$
13685	Find the Derivative - d/dx	y=(4x-5)/(x+2)	$y = \frac{4 x - 5}{x + 2}$
13686	Find the Derivative - d/dx	y=(4x+5)/( square root of x)	$y = \frac{4 x + 5}{\sqrt{x}}$
13687	Find the Derivative - d/dx	y=(4x-1)/(8x+7)	$y = \frac{4 x - 1}{8 x + 7}$
13688	Find the Derivative - d/dx	y=(5x^3)/3-2x	$y = \frac{5 x^{3}}{3} - 2 x$
13689	Find the Derivative - d/dx	y=42.0/( square root of 49.0+x^2)	$y = \frac{42}{\sqrt{49 + x^{2}}}$
13690	Find the Derivative - d/dx	y=(4x+3)/(5x+7)	$y = \frac{4 x + 3}{5 x + 7}$
13691	Find the Derivative - d/dx	y=5/(1+e^(3x))	$y = \frac{5}{1 + e^{3 x}}$
13692	Find the Derivative - d/dx	y=5/8x^8-4x^6+5x+10	$y = \frac{5}{8} x^{8} - 4 x^{6} + 5 x + 10$
13693	Find the Derivative - d/dx	y=5^(x^3+cos(2x))	$y = 5^{x^{3} + \cos (2 x)}$
13694	Find the Derivative - d/dx	y=5^(x^4+3)	$y = 5^{x^{4} + 3}$
13695	Find the Derivative - d/dx	y=5/(2x^2)	$y = \frac{5}{2 x^{2}}$
13696	Find the Derivative - d/dx	y=5/2*(x^3(4x^5-5)^3)	$y = \frac{5}{2} \cdot (x^{3} {(4 x^{5} - 5)}^{3})$
13697	Find the Derivative - d/dx	y=5^(sin(pix))	$y = 5^{\sin (π x)}$
13698	Find the Derivative - d/dx	y=(5 natural log of x)/9	$y = \frac{5 \ln (x)}{9}$
13699	Find the Derivative - d/dx	y=5^(4x^3)	$y = 5^{4 x^{3}}$
13700	Find the Derivative - d/dx	y=5^(-4x)	$y = 5^{- 4 x}$