Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
40601	Find the Derivative - d/d@VAR	f(x) = natural log of ( square root of 5x^2-x)/(7x+4)	$f (x) = \ln (\frac{\sqrt{5 x^{2} - x}}{7 x + 4})$
40602	Find the Derivative - d/d@VAR	f(x)=f(g(x))	$f (x) = f (g (x))$
40603	Find the Derivative - d/d@VAR	f(x)=f(x'(z))	$f (x) = f (x' (z))$
40604	Find the Derivative - d/d@VAR	f(x)=-5	$f (x) = - 5$
40605	Find the Derivative - d/d@VAR	f(x)=b(1-e^(-t/a))	$f (x) = b (1 - e^{- \frac{t}{a}})$
40606	Find the Derivative - d/d@VAR	f(x)=h(-1)+(2x)/(h(-1))	$f (x) = h (- 1) + \frac{2 x}{h (- 1)}$
40607	Find the Derivative - d/d@VAR	f(x)=h(3)x(3)	$f (x) = h (3) x (3)$
40608	Find the Derivative - d/d@VAR	f(x)=h(x)g(x)	$f (x) = h (x) g (x)$
40609	Find the Derivative - d/d@VAR	f(x)=pi	$f (x) = p i$
40610	Find the Derivative - d/d@VAR	f(x) = fourth root of X	$f (x) = \sqrt[4]{X}$
40611	Find the Derivative - d/d@VAR	f(x)=kx+sin(x)	$f (x) = k x + \sin (x)$
40612	Find the Derivative - d/d@VAR	f(x) = natural log of natural log of (5x^-3)^(1/2)	$f (x) = \ln (\ln ({(5 x^{- 3})}^{\frac{1}{2}}))$
40613	Find the Derivative - d/d@VAR	f(x) = natural log of sin(x)^2x+3 , x=pi/3	$f (x) = \ln (\sin^{2} (x) x + 3)$ , $x = \frac{π}{3}$
40614	Find the Derivative - d/d@VAR	f(x)=cos(x-9)	$f (x) = \cos (x - 9)$
40615	Find the Derivative - d/d@VAR	f(x)=cos(z)	$f (x) = \cos (z)$
40616	Find the Derivative - d/d@VAR	f(x)=cot(3 square root of x)	$f (x) = \cot (3 \sqrt{x})$
40617	Find the Derivative - d/d@VAR	f(x)=cot(6x)	$f (x) = \cot (6 x)$
40618	Find the Derivative - d/d@VAR	f(x)=cos(x)+tan(x)	$f (x) = \cos (x) + \tan (x)$
40619	Find the Derivative - d/d@VAR	f(x)=cos(x)-5tan(x)	$f (x) = \cos (x) - 5 \tan (x)$
40620	Find the Derivative - d/d@VAR	f(x)=cos(x)-7tan(x)	$f (x) = \cos (x) - 7 \tan (x)$
40621	Find the Derivative - d/d@VAR	f(x)=cos(x)sin(x)	$f (x) = \cos (x) \sin (x)$
40622	Find the Derivative - d/d@VAR	f(x)=cos(x)-sin(x)	$f (x) = \cos (x) - \sin (x)$
40623	Find the Derivative - d/d@VAR	f(x)=cos(x)sin(y)	$f (x) = \cos (x) \sin (y)$
40624	Find the Derivative - d/d@VAR	f(x)=csc(x)-4 square root of x+7	$f (x) = \csc (x) - 4 \sqrt{x} + 7$
40625	Find the Derivative - d/d@VAR	f(x)=csc( natural log of x)	$f (x) = \csc (\ln (x))$
40626	Find the Derivative - d/d@VAR	f(x)=cos(u)x	$f (x) = \cos (u) x$
40627	Find the Derivative - d/d@VAR	f(x)=cot(x)+4tan(x)-sec(x)	$f (x) = \cot (x) + 4 \tan (x) - \sec (x)$
40628	Find the Derivative - d/d@VAR	f(x)=csc(x)-3	$f (x) = \csc (x) - 3$
40629	Find the Derivative - d/d@VAR	f(x)=csc( square root of 2x^3-1)	$f (x) = \csc (\sqrt{2 x^{3} - 1})$
40630	Find the Derivative - d/d@VAR	f(x)=csc(x^3)	$f (x) = \csc (x^{3})$
40631	Find the Derivative - d/d@VAR	f(x)=csc(x^3+3)	$f (x) = \csc (x^{3} + 3)$
40632	Find the Derivative - d/d@VAR	f(x)=csc(x^3-2x)	$f (x) = \csc (x^{3} - 2 x)$
40633	Find the Derivative - d/d@VAR	f(x)=cos(x)-e^(2x)	$f (x) = \cos (x) - e^{2 x}$
40634	Find the Derivative - d/d@VAR	f(x)=cos(x)+ log of x+1/(x^2)+x^(3/4)	$f (x) = \cos (x) + \log (x) + \frac{1}{x^{2}} + x^{\frac{3}{4}}$
40635	Find the Derivative - d/d@VAR	f(x)=(cos(x)(sin(x)^4))/(4cos(x))	$f (x) = \frac{\cos (x) (\sin^{4} (x))}{4 \cos (x)}$
40636	Find the Derivative - d/d@VAR	f(x)=cos(x)-1/2*cos(2x)	$f (x) = \cos (x) - \frac{1}{2} \cdot \cos (2 x)$
40637	Find the Derivative - d/d@VAR	f(x)=cos(tan( square root of x))	$f (x) = \cos (\tan (\sqrt{x}))$
40638	Find the Derivative - d/d@VAR	f(x)=cos(4x)sin(x)^4	$f (x) = \cos (4 x) \sin^{4} (x)$
40639	Find the Derivative - d/d@VAR	f(x)=cos( natural log of x+4)	$f (x) = \cos (\ln (x + 4))$
40640	Find the Derivative - d/d@VAR	f(x)=cos(pix)	$f (x) = \cos (π x)$
40641	Find the Derivative - d/d@VAR	f(x)=cos(pix)[0,1/6]	$f (x) = \cos (π x) [0, \frac{1}{6}]$
40642	Find the Derivative - d/d@VAR	f(x)=cos(pix)+x	$f (x) = \cos (π x) + x$
40643	Find the Derivative - d/d@VAR	f(x)=cos(sin(5t))	$f (x) = \cos (\sin (5 t))$
40644	Find the Derivative - d/d@VAR	f(x)=cos(-5x)	$f (x) = \cos (- 5 x)$
40645	Find the Derivative - d/d@VAR	f(x)=cos(6-x)	$f (x) = \cos (6 - x)$
40646	Find the Derivative - d/d@VAR	f(x)=cos(9x^2)	$f (x) = \cos (9 x^{2})$
40647	Find the Derivative - d/d@VAR	f(x)=cos(arctan(3x))	$f (x) = \cos (\arctan (3 x))$
40648	Find the Derivative - d/d@VAR	f(x)=cos(2x)+cos(x)^2	$f (x) = \cos (2 x) + \cos^{2} (x)$
40649	Find the Derivative - d/d@VAR	f(x)=cos(2x)+x	$f (x) = \cos (2 x) + x$
40650	Find the Derivative - d/d@VAR	f(x)=cos(2x)-x	$f (x) = \cos (2 x) - x$
40651	Find the Derivative - d/d@VAR	f(x)=cos(3x^2)	$f (x) = \cos (3 x^{2})$
40652	Find the Derivative - d/d@VAR	f(x)=arctan(6^x)	$f (x) = \arctan (6^{x})$
40653	Find the Derivative - d/d@VAR	f(x)=arctan(e^(2x))	$f (x) = \arctan (e^{2 x})$
40654	Find the Derivative - d/d@VAR	f(x)=cos(3x)*cos(3x)	$f (x) = \cos (3 x) \cdot \cos (3 x)$
40655	Find the Derivative - d/d@VAR	f(x)=cos(3x)sin(4x)	$f (x) = \cos (3 x) \sin (4 x)$
40656	Find the Derivative - d/d@VAR	f(x)=cos(e^(3x^7-7x^3+10*e^x))	$f (x) = \cos (e^{3 \cdot x^{7} - 7 \cdot x^{3} + 10 \cdot e^{x}})$
40657	Find the Derivative - d/d@VAR	f(x)=cos(e^(x^2))	$f (x) = \cos (e^{x^{2}})$
40658	Find the Derivative - d/d@VAR	f(x)=cos(e^(2x))	$f (x) = \cos (e^{2 x})$
40659	Find the Derivative - d/d@VAR	f(x)=cos(e^(4x))	$f (x) = \cos (e^{4 x})$
40660	Find the Derivative - d/d@VAR	f(x)=cos((1-e^(4x))/(1+e^(4x)))	$f (x) = \cos (\frac{1 - e^{4 x}}{1 + e^{4 x}})$
40661	Find the Derivative - d/d@VAR	f(x)=cos((1-e^(6x))/(1+e^(6x)))	$f (x) = \cos (\frac{1 - e^{6 x}}{1 + e^{6 x}})$
40662	Find the Derivative - d/d@VAR	f(x)=cos(1/x)	$f (x) = \cos (\frac{1}{x})$
40663	Find the Derivative - d/d@VAR	f(x)=cos((3x+1)/(2x-1))	$f (x) = \cos (\frac{3 x + 1}{2 x - 1})$
40664	Find the Derivative - d/d@VAR	f(x)=cos((7x)/4)	$f (x) = \cos (\frac{7 x}{4})$
40665	Find the Derivative - d/d@VAR	f(x)=cos(7x^3)	$f (x) = \cos (7 x^{3})$
40666	Find the Derivative - d/d@VAR	f(x)=cos((1-e^(7x))/(1+e^(7x)))	$f (x) = \cos (\frac{1 - e^{7 x}}{1 + e^{7 x}})$
40667	Find the Derivative - d/d@VAR	f(x)=cos((3x)/4)	$f (x) = \cos (\frac{3 x}{4})$
40668	Find the Derivative - d/d@VAR	f(x)=ax+b[1,17]	$f (x) = a x + b [1, 17]$
40669	Find the Derivative - d/d@VAR	f(x)=b(h(g(x)))	$f (x) = b (h (g (x)))$
40670	Find the Derivative - d/d@VAR	f(x)=bx	$f (x) = b x$
40671	Find the Derivative - d/d@VAR	f(x)=cos( square root of x-1)	$f (x) = \cos (\sqrt{x - 1})$
40672	Find the Derivative - d/d@VAR	f(x)=cos(x^2)	$f (x) = \cos (x^{2})$
40673	Find the Derivative - d/d@VAR	f(x)=cos(x^2)(0,1)	$f (x) = \cos (x^{2}) (0, 1)$
40674	Find the Derivative - d/d@VAR	f(x)=cos(x^2+20^18)	$f (x) = \cos (x^{2} + 20^{18})$
40675	Find the Derivative - d/d@VAR	f(x)=cos(x^3)	$f (x) = \cos (x^{3})$
40676	Find the Derivative - d/d@VAR	f(x)=cos(x^4)(x/(x+6))	$f (x) = \cos (x^{4}) (\frac{x}{x + 6})$
40677	Find the Derivative - d/d@VAR	f(x)=cos(28)	$f (x) = \cos (28)$
40678	Find the Derivative - d/d@VAR	f(x)=cos(e^(-x))	$f (x) = \cos (e^{- x})$
40679	Find the Derivative - d/d@VAR	f(x)=cos(e^x+1/( square root of x))	$f (x) = \cos (e^{x} + \frac{1}{\sqrt{x}})$
40680	Find the Derivative - d/d@VAR	f(x)=cos(pi/2)-pi/2*sin(pi/2)	$f (x) = \cos (\frac{π}{2}) - \frac{π}{2} \cdot \sin (\frac{π}{2})$
40681	Find the Derivative - d/d@VAR	f(x)=cos((pi^2)/2)	$f (x) = \cos (\frac{π^{2}}{2})$
40682	Find the Derivative - d/d@VAR	f(x)=cos(pix^2+6)	$f (x) = \cos (π x^{2} + 6)$
40683	Find the Derivative - d/d@VAR	f(x)=cos(arcsin(7x))	$f (x) = \cos (\arcsin (7 x))$
40684	Find the Derivative - d/d@VAR	f(x)=cos( square root of (1-cos(2x))/(1+cos(2x)))	$f (x) = \cos (\sqrt{\frac{1 - \cos (2 x)}{1 + \cos (2 x)}})$
40685	Find the Derivative - d/d@VAR	f(x) = natural log of x^2+36	$f (x) = \ln (x^{2} + 36)$
40686	Find the Derivative - d/d@VAR	f(x) = natural log of x^2+4x+5	$f (x) = \ln (x^{2} + 4 x + 5)$
40687	Find the Derivative - d/d@VAR	f(x) = natural log of x^2+4x+7[-3,3]	$f (x) = \ln (x^{2} + 4 x + 7) [- 3, 3]$
40688	Find the Derivative - d/d@VAR	f(x) = natural log of x^2-14x	$f (x) = \ln (x^{2} - 14 x)$
40689	Find the Derivative - d/d@VAR	f(x) = natural log of x^2-2x	$f (x) = \ln (x^{2} - 2 x)$
40690	Find the Derivative - d/d@VAR	f(x) = natural log of x^2-3	$f (x) = \ln (x^{2} - 3)$
40691	Find the Derivative - d/d@VAR	f(x) = natural log of x^2*(3x)+7	$f (x) = \ln (x^{2} \cdot (3 x) + 7)$
40692	Find the Derivative - d/d@VAR	f(x) = natural log of x^2-4x+40	$f (x) = \ln (x^{2} - 4 x + 40)$
40693	Find the Derivative - d/d@VAR	f(x) = natural log of x^2-6x	$f (x) = \ln (x^{2} - 6 x)$
40694	Find the Derivative - d/d@VAR	f(x) = natural log of x^2tan(5x)	$f (x) = \ln (x^{2} \tan (5 x))$
40695	Find the Derivative - d/d@VAR	f(x) = natural log of x/(x^2-1)	$f (x) = \ln (\frac{x}{x^{2} - 1})$
40696	Find the Derivative - d/d@VAR	f(x) = natural log of x/19+ natural log of 19	$f (x) = \ln (\frac{x}{19}) + \ln (19)$
40697	Find the Derivative - d/d@VAR	f(x) = natural log of x/2	$f (x) = \ln (\frac{x}{2})$
40698	Find the Derivative - d/d@VAR	f(x) = natural log of x/3	$f (x) = \ln (\frac{x}{3})$
40699	Find the Derivative - d/d@VAR	f(x) = natural log of x/7	$f (x) = \ln (\frac{x}{7})$
40700	Find the Derivative - d/d@VAR	f(x) = natural log of x/k	$f (x) = \ln (\frac{x}{k})$