Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
13401	Find the Derivative - d/dx	f(x) = natural log of x* natural log of 2x	$f (x) = \ln (x) \cdot \ln (2 x)$
13402	Find the Derivative - d/dx	f(x) = natural log of x-7.1x^-1	$f (x) = \ln (x - 7.1 x^{- 1})$
13403	Find the Derivative - d/dx	f(x) = natural log of 9-x^2	$f (x) = \ln (9 - x^{2})$
13404	Find the Derivative - d/dx	f(x) = natural log of sin(2x)	$f (x) = \ln (\sin (2 x))$
13405	Find the Derivative - d/dx	f(x) = natural log of tan(x/2+pi/4)	$f (x) = \ln (\tan (\frac{x}{2} + \frac{π}{4}))$
13406	Find the Derivative - d/dx	f(x)=tan((pix)/4)	$f (x) = \tan (\frac{π x}{4})$
13407	Find the Derivative - d/dx	f(x)=tan(sec(6x))	$f (x) = \tan (\sec (6 x))$
13408	Find the Derivative - d/dx	f(x)=x* square root of 324-x^2	$f (x) = x \cdot \sqrt{324 - x^{2}}$
13409	Find the Derivative - d/dx	f(x)=y square root of x-x square root of y-16	$f (x) = y \sqrt{x} - x \sqrt{y} - 16$
13410	Find the Derivative - d/dx	f(x)*2	$f (x) \cdot 2$
13411	Find the Derivative - d/dx	f(x)*(160x square root of 3)-x^3	$f (x) \cdot (160 x \sqrt{3}) - x^{3}$
13412	Find the Derivative - d/dx	f(x)=xcos( square root of x)	$f (x) = x \cos (\sqrt{x})$
13413	Simplify	(4^(-x))/(8^(-x/3))	$\frac{4^{- x}}{8^{- \frac{x}{3}}}$
13414	Find the Derivative - d/dx	f(x)=xtan(x)	$f (x) = x \tan (x)$
13415	Find the Derivative - d/dx	f(x)=x-3sin(x)	$f (x) = x - 3 \sin (x)$
13416	Find the Derivative - d/dx	f(x)=xarcsin(x)+ square root of 1-x^2	$f (x) = x \arcsin (x) + \sqrt{1 - x^{2}}$
13417	Find the Derivative - d/dx	f(x)=xarctan(x)	$f (x) = x \arctan (x)$
13418	Find the Derivative - d/dx	f(x)=x natural log of x^2	$f (x) = x \ln (x^{2})$
13419	Find the Derivative - d/dx	f(x)=xcos(1/x)	$f (x) = x \cos (\frac{1}{x})$
13420	Find the Derivative - d/dx	f(x)=xcos( natural log of x)	$f (x) = x \cos (\ln (x))$
13421	Find the Derivative - d/dx	f(x)=x natural log of 1+x^2	$f (x) = x \ln (1 + x^{2})$
13422	Find the Derivative - d/dx	f(x)=x natural log of arctan(x)	$f (x) = x \ln (\arctan (x))$
13423	Find the Derivative - d/dx	f(x)=x-x^2	$f (x) = x - x^{2}$
13424	Find the Derivative - d/dx	f(x)=x+32/(x^2)	$f (x) = x + \frac{32}{x^{2}}$
13425	Find the Derivative - d/dx	f(x)=x+36/x	$f (x) = x + \frac{36}{x}$
13426	Find the Derivative - d/dx	f(x)=cot(2x)	$f (x) = \cot (2 x)$
13427	Find the Derivative - d/dx	f(x)=cos(t)	$f (x) = \cos (t)$
13428	Find the Derivative - d/dx	f(x)=-cos(pi)	$f (x) = - \cos (π)$
13429	Find the Derivative - d/dx	f(x)=cos(arctan( natural log of x))	$f (x) = \cos (\arctan (\ln (x)))$
13430	Find the Derivative - d/dx	f(x)=cos(2x)sin(2x)	$f (x) = \cos (2 x) \sin (2 x)$
13431	Find the Derivative - d/dx	f(x)=cos(3x^2-1)	$f (x) = \cos (3 x^{2} - 1)$
13432	Evaluate	arcsin(1/( square root of 2))	$\arcsin (\frac{1}{\sqrt{2}})$
13433	Find the Derivative - d/dx	f(x) = natural log of (x^5)/3	$f (x) = \ln (\frac{x^{5}}{3})$
13434	Find the Derivative - d/dx	f(x) = natural log of (x^2-7)/x	$f (x) = \ln (\frac{x^{2} - 7}{x})$
13435	Find the Derivative - d/dx	f(x) = natural log of ( square root of x^2+1)/(x(2x^3-1)^2)	$f (x) = \ln (\frac{\sqrt{x^{2} + 1}}{x {(2 x^{3} - 1)}^{2}})$
13436	Find the Derivative - d/dx	f(x)=k-x^2	$f (x) = k - x^{2}$
13437	Find the Derivative - d/dx	f(x)=csc(x)cot(x)	$f (x) = \csc (x) \cot (x)$
13438	Evaluate the Limit	limit as x approaches 5 of (5- square root of 5x)/(x-5)	$lim_{x \to 5} \frac{5 - \sqrt{5 x}}{x - 5}$
13439	Find the Derivative - d/dx	f(x) = natural log of x^2-2x	$f (x) = \ln (x^{2} - 2 x)$
13440	Find the Derivative - d/dx	f(x) = natural log of x^2-2x+10	$f (x) = \ln (x^{2} - 2 x + 10)$
13441	Find the Derivative - d/dx	f(x) = natural log of x^2+3x	$f (x) = \ln (x^{2} + 3 x)$
13442	Find the Derivative - d/dx	f(x) = natural log of x^2+6x+13	$f (x) = \ln (x^{2} + 6 x + 13)$
13443	Find the Derivative - d/dx	f(x) = natural log of x^10	$f (x) = \ln (x^{10})$
13444	Evaluate the Summation	sum from n=3 to 12 of 20(0.5)^(n-1)	$\sum_{n = 3}^{12} 20 {(0.5)}^{n - 1}$
13445	Find the Derivative - d/dx	f(x) = natural log of e^(3x)+1	$f (x) = \ln (e^{3 x} + 1)$
13446	Evaluate the Integral	integral of ydx with respect to x	$\int yds x d x$
13447	Find the Derivative - d/dx	f(x) = natural log of e^(8x)+3	$f (x) = \ln (e^{8 x} + 3)$
13448	Evaluate the Integral	integral of cos( natural log of x) with respect to x	$\int \cos (\ln (x)) d x$
13449	Find the Derivative - d/dx	f(x)=7x+8	$f (x) = 7 x + 8$
13450	Find the Derivative - d/dx	f(x)=7x-3	$f (x) = 7 x - 3$
13451	Find the Derivative - d/dx	f(x)=7e^xcos(x)	$f (x) = 7 e^{x} \cos (x)$
13452	Find the Derivative - d/dx	f(x)=-7e^x-2x+5	$f (x) = - 7 e^{x} - 2 x + 5$
13453	Find the Derivative - d/dx	f(x)=8 square root of 7x^2+5	$f (x) = 8 \sqrt{7 x^{2} + 5}$
13454	Find the Derivative - d/dx	f(x)=8xarcsin(x)	$f (x) = 8 x \arcsin (x)$
13455	Find the Derivative - d/dx	f(x)=8x^3-7x^2+9	$f (x) = 8 x^{3} - 7 x^{2} + 9$
13456	Find the Derivative - d/dx	f(x)=8x-7	$f (x) = 8 x - 7$
13457	Find the Derivative - d/dx	f(x)=9-1/2x^2	$f (x) = 9 - \frac{1}{2} x^{2}$
13458	Find the Derivative - d/dx	f(x)=9e^x	$f (x) = 9 e^{x}$
13459	Find the Derivative - d/dx	f(x)=-8x^2-4x	$f (x) = - 8 x^{2} - 4 x$
13460	Find the Derivative - d/dx	f(x)=8arcsin(x^2)	$f (x) = 8 \arcsin (x^{2})$
13461	Find the Derivative - d/dx	f(x)=8excos(x)	$f (x) = 8$ excos $(x)$
13462	Find the Derivative - d/dx	f(x)=800x-0.2x^2	$f (x) = 800 x - 0.2 x^{2}$
13463	Find the Derivative - d/dx	f(x)=-9x+6	$f (x) = - 9 x + 6$
13464	Find the Derivative - d/dx	f(x)=9 square root of xsin(x)	$f (x) = 9 \sqrt{x} \sin (x)$
13465	Find the Derivative - d/dx	f(x)=9e^(5x)	$f (x) = 9 e^{5 x}$
13466	Find the Derivative - d/dx	f(x)=9e^x-8x+2	$f (x) = 9 e^{x} - 8 x + 2$
13467	Find the Derivative - d/dx	f(x)=9x+5	$f (x) = 9 x + 5$
13468	Find the Derivative - d/dx	f(x)=arcsec(8x)	$f (x) = arcsec (8 x)$
13469	Find the Derivative - d/dx	f(x)=9x^(7/5)-5x^2+10000	$f (x) = 9 x^{\frac{7}{5}} - 5 x^{2} + 10000$
13470	Find the Derivative - d/dx	f(x)=9sin(x)	$f (x) = 9 \sin (x)$
13471	Find the Derivative - d/dx	f(x)=arccsc(x)	$f (x) = arccsc (x)$
13472	Find the Derivative - d/dx	f(x)=arcsin(3x)	$f (x) = \arcsin (3 x)$
13473	Find the Derivative - d/dx	f(x)=arcsec(x)	$f (x) = arcsec (x)$
13474	Find the Derivative - d/dx	f(x)=arctan(30/x)-arctan(10/x)	$f (x) = \arctan (\frac{30}{x}) - \arctan (\frac{10}{x})$
13475	Find the Derivative - d/dx	f(x)=ax+b	$f (x) = a x + b$
13476	Find the Derivative - d/dx	natural log of 10/x	$\ln (\frac{10}{x})$
13477	Find the Derivative - d/dx	natural log of 1/( natural log of x)	$\ln (\frac{1}{\ln (x)})$
13478	Find the Derivative - d/dx	natural log of 1/(x+1)	$\ln (\frac{1}{x + 1})$
13479	Find the Derivative - d/dx	natural log of (1-x)/(1+x)	$\ln (\frac{1 - x}{1 + x})$
13480	Find the Derivative - d/dx	natural log of 1/(x^2)	$\ln (\frac{1}{x^{2}})$
13481	Find the Derivative - d/dx	-kx	$- k x$
13482	Find the Derivative - d/dx	natural log of sin(3x)+e^x	$\ln (\sin (3 x) + e^{x})$
13483	Find the Derivative - d/dx	natural log of square root of 3x^2-1	$\ln (\sqrt{3 x^{2} - 1})$
13484	Find the Derivative - d/dx	natural log of e/(e-x)	$\ln (\frac{e}{e - x})$
13485	Find the Derivative - d/dx	natural log of e^x-3x	$\ln (e^{x} - 3 x)$
13486	Find the Derivative - d/dx	natural log of arcsin(x)	$\ln (\arcsin (x))$
13487	Find the Derivative - d/dx	natural log of ax^n	$\ln (a x^{n})$
13488	Find the Derivative - d/dx	natural log of 4^x	$\ln (4^{x})$
13489	Find the Derivative - d/dx	natural log of 7^x	$\ln (7^{x})$
13490	Find the Derivative - d/dx	natural log of e^(e^(5x^4))	$\ln (e^{e^{5 x^{4}}})$
13491	Find the Derivative - d/dx	natural log of 5/x	$\ln (\frac{5}{x})$
13492	Find the Derivative - d/dx	natural log of 2^x	$\ln (2^{x})$
13493	Find the Derivative - d/dx	natural log of 2^(-x)	$\ln (2^{- x})$
13494	Find the Derivative - d/dx	natural log of e^(-4x)	$\ln (e^{- 4 x})$
13495	Find the Derivative - d/dx	natural log of e^(4x)-3	$\ln (e^{4 x} - 3)$
13496	Find the Derivative - d/dx	natural log of e^(8x)+7	$\ln (e^{8 x} + 7)$
13497	Find the Derivative - d/dx	natural log of 2x+3	$\ln (2 x + 3)$
13498	Find the Derivative - d/dx	natural log of 2x-3	$\ln (2 x - 3)$
13499	Find the Derivative - d/dx	natural log of 2-3x	$\ln (2 - 3 x)$
13500	Find the Derivative - d/dx	natural log of 256sin(x)^2	$\ln (256 \sin^{2} (x))$