Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
6501	Find the Derivative - d/dx	1/(x-7)	$\frac{1}{x - 7}$
6502	Find the Derivative - d/dx	(1+ square root of 3x)/(1- square root of 3x)	$\frac{1 + \sqrt{3 x}}{1 - \sqrt{3 x}}$
6503	Find the Derivative - d/dx	1/(5x^6)	$\frac{1}{5 x^{6}}$
6504	Find the Derivative - d/dx	1/(3x-2)	$\frac{1}{3 x - 2}$
6505	Find the Derivative - d/dx	1/(1+e^x)	$\frac{1}{1 + e^{x}}$
6506	Find the Derivative - d/dx	1/(x^3+1)	$\frac{1}{x^{3} + 1}$
6507	Find the Derivative - d/dx	-1/(2x^2)	$- \frac{1}{2 x^{2}}$
6508	Find the Derivative - d/dx	1/(1-3x)	$\frac{1}{1 - 3 x}$
6509	Find the Derivative - d/dx	1/( cube root of x^4)	$\frac{1}{\sqrt[3]{x^{4}}}$
6510	Find the Derivative - d/dx	1/(x^2+9)	$\frac{1}{x^{2} + 9}$
6511	Find the Derivative - d/dx	1/(x^12)	$\frac{1}{x^{12}}$
6512	Find the Derivative - d/dx	1/2x	$\frac{1}{2} x$
6513	Find the Derivative - d/dx	1/(2sin(2x))	$\frac{1}{2 \sin (2 x)}$
6514	Find the Derivative - d/dx	-1/2x^2	$- \frac{1}{2} x^{2}$
6515	Find the Derivative - d/dx	1/2* natural log of x	$\frac{1}{2} \cdot \ln (x)$
6516	Find the Derivative - d/dx	3/(x^(1/2))	$\frac{3}{x^{\frac{1}{2}}}$
6517	Find the Derivative - d/dx	3/(x+4)	$\frac{3}{x + 4}$
6518	Find the Derivative - d/dx	3/(4x)	$\frac{3}{4 x}$
6519	Find the Derivative - d/dx	(2x)/(x^2+36)	$\frac{2 x}{x^{2} + 36}$
6520	Find the Derivative - d/dx	(2x-7)/(3x-2)	$\frac{2 x - 7}{3 x - 2}$
6521	Find the Derivative - d/dx	(120x^2)/(x^2+4)	$\frac{120 x^{2}}{x^{2} + 4}$
6522	Find the Derivative - d/dx	12/( natural log of x)	$\frac{12}{\ln (x)}$
6523	Find the Derivative - d/dx	12/x	$\frac{12}{x}$
6524	Find the Derivative - d/dx	(1-2x)/(3+x)	$\frac{1 - 2 x}{3 + x}$
6525	Find the Derivative - d/dx	100/(100-x)	$\frac{100}{100 - x}$
6526	Find the Derivative - d/dx	16/x	$\frac{16}{x}$
6527	Find the Derivative - d/dx	(-16x)/((x^2-4)^2)	$\frac{- 16 x}{{(x^{2} - 4)}^{2}}$
6528	Find the Derivative - d/dx	(16x)/(x^2+16)	$\frac{16 x}{x^{2} + 16}$
6529	Find the Derivative - d/dx	2/((2-11x)^2)	$\frac{2}{{(2 - 11 x)}^{2}}$
6530	Find the Derivative - d/dx	(2x^2+1)/(tan(x^3))	$\frac{2 x^{2} + 1}{\tan (x^{3})}$
6531	Find the Derivative - d/dx	2/(4-x)	$\frac{2}{4 - x}$
6532	Find the Derivative - d/dx	2^(sin(pix))	$2^{\sin (π x)}$
6533	Find the Derivative - d/dx	2/(e^x)	$\frac{2}{e^{x}}$
6534	Find the Derivative - d/dx	2/(1-x)	$\frac{2}{1 - x}$
6535	Find the Derivative - d/dx	(6e^(2x)-x)^3	${(6 e^{2 x} - x)}^{3}$
6536	Find the Derivative - d/dx	(arctan(x))^2	${(\arctan (x))}^{2}$
6537	Find the Derivative - d/dx	(8x-9)^-4	${(8 x - 9)}^{- 4}$
6538	Find the Derivative - d/dx	(x+1)^(1/3)	${(x + 1)}^{\frac{1}{3}}$
6539	Find the Derivative - d/dx	(x-1)/(x+3)	$\frac{x - 1}{x + 3}$
6540	Find the Derivative - d/dx	(sin(h(x)))^2	${(\sinh (x))}^{2}$
6541	Find the Derivative - d/dx	(4-x)^3	${(4 - x)}^{3}$
6542	Find the Derivative - d/dx	(2x+1)^5	${(2 x + 1)}^{5}$
6543	Find the Derivative - d/dx	(2csc(x))/(sec(x))	$\frac{2 \csc (x)}{\sec (x)}$
6544	Find the Derivative - d/dx	(x-3)^5	${(x - 3)}^{5}$
6545	Find the Derivative - d/dx	(x-4)^3	${(x - 4)}^{3}$
6546	Find the Derivative - d/dx	(x-7)^2	${(x - 7)}^{2}$
6547	Find the Derivative - d/dx	((x^2+24)^(1/2)-x^2(x^2+24)^(-1/2))/(x^2+24)	$\frac{{(x^{2} + 24)}^{\frac{1}{2}} - x^{2} {(x^{2} + 24)}^{\frac{- 1}{2}}}{x^{2} + 24}$
6548	Find the Derivative - d/dx	(e^x)/(7x^2)	$\frac{e^{x}}{7 x^{2}}$
6549	Find the Derivative - d/dx	(e^x)/(8x^2)	$\frac{e^{x}}{8 x^{2}}$
6550	Find the Derivative - d/dx	(e^(2x))/(x^6)	$\frac{e^{2 x}}{x^{6}}$
6551	Find the Derivative - d/dx	(e^(2x)+1)/(e^(2x)-1)	$\frac{e^{2 x} + 1}{e^{2 x} - 1}$
6552	Find the Derivative - d/dx	(e^(5x))/(x^15)	$\frac{e^{5 x}}{x^{15}}$
6553	Find the Derivative - d/dx	-(x^2)/2	$- \frac{x^{2}}{2}$
6554	Find the Derivative - d/dx	(sin(3x)^2)/(cos(3x))	$\frac{\sin^{2} (3 x)}{\cos (3 x)}$
6555	Find the Derivative - d/dx	( square root of x-2)/( square root of x+2)	$\frac{\sqrt{x} - 2}{\sqrt{x} + 2}$
6556	Find the Derivative - d/dx	(e^x-1)/(e^x+1)	$\frac{e^{x} - 1}{e^{x} + 1}$
6557	Find the Derivative - d/dx	(x^2+3y^2)/(e^(x^2+y^2))	$\frac{x^{2} + 3 y^{2}}{e^{x^{2} + y^{2}}}$
6558	Find the Derivative - d/dx	-(x^2)/8	$- \frac{x^{2}}{8}$
6559	Find the Derivative - d/dx	(x^2)/(sin(x))	$\frac{x^{2}}{\sin (x)}$
6560	Find the Derivative - d/dx	(x^2-3x)/(x^2)	$\frac{x^{2} - 3 x}{x^{2}}$
6561	Find the Derivative - d/dx	(x^2-3x-4)/(x-2)	$\frac{x^{2} - 3 x - 4}{x - 2}$
6562	Find the Derivative - d/dx	(3x-2)/(2x+3)	$\frac{3 x - 2}{2 x + 3}$
6563	Find the Derivative - d/dx	4/(x^4)	$\frac{4}{x^{4}}$
6564	Find the Derivative - d/dx	(3x+300)/(40x+7)	$\frac{3 x + 300}{40 x + 7}$
6565	Find the Derivative - d/dx	(3x-7)/(2x+9)	$\frac{3 x - 7}{2 x + 9}$
6566	Find the Derivative - d/dx	(4x+2)/(4x-2)	$\frac{4 x + 2}{4 x - 2}$
6567	Find the Derivative - d/dx	(4-cos(x))/(4+sin(x))	$\frac{4 - \cos (x)}{4 + \sin (x)}$
6568	Find the Derivative - d/dx	(-48x)/((x^2+12)^2)	$\frac{- 48 x}{{(x^{2} + 12)}^{2}}$
6569	Find the Derivative - d/dx	4/(1+x^2)	$\frac{4}{1 + x^{2}}$
6570	Find the Derivative - d/dx	(7-sec(x))/(tan(x))	$\frac{7 - \sec (x)}{\tan (x)}$
6571	Find the Derivative - d/dx	(7x)/y	$\frac{7 x}{y}$
6572	Find the Derivative - d/dx	(6x)/(x+5)	$\frac{6 x}{x + 5}$
6573	Find the Derivative - d/dx	5^(-1/x)	$5^{- \frac{1}{x}}$
6574	Find the Derivative - d/dx	(54x)/((25-x^2)^2)	$\frac{54 x}{{(25 - x^{2})}^{2}}$
6575	Find the Derivative - d/dx	-6/((x-1)^2)	$\frac{- 6}{{(x - 1)}^{2}}$
6576	Find the Derivative - d/dx	e^(-11x)	$e^{- 11 x}$
6577	Find the Derivative - d/dx	e^(-12x)	$e^{- 12 x}$
6578	Find the Derivative - d/dx	e^(-x^6)	$e^{- x^{6}}$
6579	Find the Derivative - d/dx	e^(8/x)	$e^{\frac{8}{x}}$
6580	Find the Derivative - d/dx	e^((-x)/2)	$e^{\frac{- x}{2}}$
6581	Find the Derivative - d/dx	e^(x^2-3x)	$e^{x^{2} - 3 x}$
6582	Find the Derivative - d/dx	e^(3x+2)	$e^{3 x + 2}$
6583	Find the Derivative - d/dx	e^(2xy)	$e^{2 x y}$
6584	Find the Derivative - d/dx	e^(2x)sin(x)	$e^{2 x} \sin (x)$
6585	Find the Derivative - d/dx	e^(2x-x^2)	$e^{2 x - x^{2}}$
6586	Find the Derivative - d/dx	e^(2/x)	$e^{\frac{2}{x}}$
6587	Find the Derivative - d/dx	cot(cos(x))^2	$\cot^{2} (\cos (x))$
6588	Find the Derivative - d/dx	cos(h(x)^2)	$\cosh ({(x)}^{2})$
6589	Find the Derivative - d/dx	cos(x)^2-sin(x)^2	$\cos^{2} (x) - \sin^{2} (x)$
6590	Find the Derivative - d/dx	-(8x)/((x^2-4)^2)	$- \frac{8 x}{{(x^{2} - 4)}^{2}}$
6591	Find the Derivative - d/dx	(-8x)/(x^2+1)	$\frac{- 8 x}{x^{2} + 1}$
6592	Find the Derivative - d/dx	9^x log base 5 of x	$9^{x} \log_{5} (x)$
6593	Find the Derivative - d/dx	9/( natural log of x)	$\frac{9}{\ln (x)}$
6594	Find the Derivative - d/dx	pi/2-x	$\frac{π}{2} - x$
6595	Find the Derivative - d/dx	px^2y	$p x^{2} y$
6596	Find the Derivative - d/dx	sin(2x)^4	$\sin^{4} (2 x)$
6597	Find the Derivative - d/dx	(sin(x))/(x^3)	$\frac{\sin (x)}{x^{3}}$
6598	Find the Derivative - d/dx	sin(pix)^2	$\sin^{2} (π x)$
6599	Find the Derivative - d/dx	(sin(x)+cos(x))/(cos(x))	$\frac{\sin (x) + \cos (x)}{\cos (x)}$
6600	Find the Derivative - d/dx	arcsin(4x)	$\arcsin (4 x)$