Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
6601	Find the Derivative - d/dx	arcsin(x^2)	$\arcsin (x^{2})$
6602	Find the Derivative - d/dx	(tan(x))/(1+cos(x))	$\frac{\tan (x)}{1 + \cos (x)}$
6603	Find the Derivative - d/dx	sin(2x)^3	$\sin^{3} (2 x)$
6604	Find the Derivative - d/dx	sin(x)^3cos(x)	$\sin^{3} (x) \cos (x)$
6605	Find the Derivative - d/dx	square root of x^2-y^2	$\sqrt{x^{2} - y^{2}}$
6606	Evaluate	cot((3pi)/2)	$\cot (\frac{3 π}{2})$
6607	Find the Derivative - d/dx	square root of x^2+3x-1	$\sqrt{x^{2} + 3 x - 1}$
6608	Find the Derivative - d/dx	square root of x^2+20	$\sqrt{x^{2} + 20}$
6609	Find the Derivative - d/dx	e^x natural log of y	$e^{x} \ln (y)$
6610	Find the Derivative - d/dx	e^xcos(2x)	$e^{x} \cos (2 x)$
6611	Find the Derivative - d/dx	e^(-x)cos(x)	$e^{- x} \cos (x)$
6612	Find the Derivative - d/dx	e^x+1	$e^{x} + 1$
6613	Find the Derivative - d/dx	(f(x+h)-f(x))/h	$\frac{f (x + h) - f (x)}{h}$
6614	Find the Derivative - d/dx	e^(3 natural log of x)	$e^{3 \ln (x)}$
6615	Find the Derivative - d/dx	e^(7 natural log of x)	$e^{7 \ln (x)}$
6616	Find the Derivative - d/dx	e^(cos(h(3x)))	$e^{\cosh (3 x)}$
6617	Find the Derivative - d/dx	e^(f(x))	$e^{f (x)}$
6618	Find the Derivative - d/dx	natural log of (3x)^2	$\ln ({(3 x)}^{2})$
6619	Find the Derivative - d/dx	( natural log of x)/(6x)	$\frac{\ln (x)}{6 x}$
6620	Find the Derivative - d/dx	log base 3 of e^x	$\log_{3} (e^{x})$
6621	Find the Derivative - d/dx	log of x^3+1	$\log (x^{3} + 1)$
6622	Find the Derivative - d/d@VAR	f(x)=2x^2-x	$f (x) = 2 x^{2} - x$
6623	Find the Derivative - d/dx	square root of x+ cube root of x	$\sqrt{x} + \sqrt[3]{x}$
6624	Find the Derivative - d/dx	square root of x natural log of x^4	$\sqrt{x \ln (x^{4})}$
6625	Find the Derivative - d/dx	square root of sin(2x)	$\sqrt{\sin (2 x)}$
6626	Find the Derivative - d/dx	square root of sin(3x)	$\sqrt{\sin (3 x)}$
6627	Find the Derivative - d/dx	square root of 4sin(x)+2	$\sqrt{4 \sin (x) + 2}$
6628	Find the Derivative - d/dx	square root of 49-x^2	$\sqrt{49 - x^{2}}$
6629	Find the Derivative - d/dx	square root of 4-3x	$\sqrt{4 - 3 x}$
6630	Find the Derivative - d/dx	square root of 5-2x	$\sqrt{5 - 2 x}$
6631	Find the Derivative - d/dx	square root of 64-x^2	$\sqrt{64 - x^{2}}$
6632	Find the Derivative - d/dx	square root of 9x	$\sqrt{9 x}$
6633	Find the Derivative - d/dx	square root of arctan(x)	$\sqrt{\arctan (x)}$
6634	Evaluate the Limit	limit as h approaches 0 of (2.7^h-1)/h	$lim_{h \to 0} \frac{{2.7}^{h} - 1}{h}$
6635	Find the Derivative - d/dx	square root of 3-x	$\sqrt{3 - x}$
6636	Find the Derivative - d/dx	square root of 1+4x^2	$\sqrt{1 + 4 x^{2}}$
6637	Find the Derivative - d/dx	square root of 11x	$\sqrt{11 x}$
6638	Find the Derivative - d/dx	square root of 1+4sin(x)	$\sqrt{1 + 4 \sin (x)}$
6639	Find the Derivative - d/dx	square root of 1-x^2arcsin(x)	$\sqrt{1 - x^{2}} \arcsin (x)$
6640	Find the Derivative - d/dx	square root of x^2-2x+1	$\sqrt{x^{2} - 2 x + 1}$
6641	Find the Derivative - d/dx	cube root of 2x	$\sqrt[3]{2 x}$
6642	Find the Derivative - d/dx	cube root of 1+tan(x)	$\sqrt[3]{1 + \tan (x)}$
6643	Find the Derivative - d/dx	cube root of x(x+1)	$\sqrt[3]{x} (x + 1)$
6644	Find the Derivative - d/dx	cube root of x(x+5)	$\sqrt[3]{x} (x + 5)$
6645	Find the Derivative - d/dx	cube root of x+ fifth root of x	$\sqrt[3]{x} + \sqrt[5]{x}$
6646	Find the Derivative - d/dx	seventh root of x^3	$\sqrt[7]{x^{3}}$
6647	Find the Derivative - d/dx	fifth root of natural log of x	$\sqrt[5]{\ln (x)}$
6648	Find the Derivative - d/dx	x^(1/3)(x-4)	$x^{\frac{1}{3}} (x - 4)$
6649	Find the Derivative - d/dx	x^(1/3)(x^2-4)	$x^{\frac{1}{3}} (x^{2} - 4)$
6650	Find the Derivative - d/dx	x^(-1/3)	$x^{- \frac{1}{3}}$
6651	Find the Derivative - d/dx	x^(1/5)	$x^{\frac{1}{5}}$
6652	Find the Derivative - d/dx	x^(2/x)	$x^{\frac{2}{x}}$
6653	Find the Derivative - d/dx	x^(14/15)-x^(29/15)	$x^{\frac{14}{15}} - x^{\frac{29}{15}}$
6654	Find the Derivative - d/dx	x^(1/6)	$x^{\frac{1}{6}}$
6655	Find the Derivative - d/dx	x^(2/3)(6-x)^(1/3)	$x^{\frac{2}{3}} {(6 - x)}^{\frac{1}{3}}$
6656	Find the Derivative - d/dx	x/(x-7)	$\frac{x}{x - 7}$
6657	Find the Derivative - d/dx	x/(x^2+196)	$\frac{x}{x^{2} + 196}$
6658	Find the Derivative - d/dx	x/8-8/x	$\frac{x}{8} - \frac{8}{x}$
6659	Find the Derivative - d/dx	x/(2-tan(x))	$\frac{x}{2 - \tan (x)}$
6660	Find the Derivative - d/dx	x/15	$\frac{x}{15}$
6661	Evaluate the Limit	limit as x approaches 64 of (x-64)/( square root of x-8)	$lim_{x \to 64} \frac{x - 64}{\sqrt{x} - 8}$
6662	Find the Derivative - d/dx	x/(1+x)	$\frac{x}{1 + x}$
6663	Find the Derivative - d/dx	x/12	$\frac{x}{12}$
6664	Find the Derivative - d/dx	x/(1-x^2)	$\frac{x}{1 - x^{2}}$
6665	Find the Derivative - d/dx	2sec(x)+tan(x)	$2 \sec (x) + \tan (x)$
6666	Find the Derivative - d/dx	2csc(x)	$2 \csc (x)$
6667	Find the Derivative - d/dx	(2x(150-25x))/30	$\frac{2 x (150 - 25 x)}{30}$
6668	Find the Derivative - d/dx	2sin(x)+3cos(x)	$2 \sin (x) + 3 \cos (x)$
6669	Find the Derivative - d/dx	2sin(x)-cos(2x)	$2 \sin (x) - \cos (2 x)$
6670	Find the Derivative - d/dx	2sin(3x)	$2 \sin (3 x)$
6671	Find the Derivative - d/dx	-20e^x	$- 20 e^{x}$
6672	Find the Derivative - d/dx	2arcsin(x-1)	$2 \arcsin (x - 1)$
6673	Find the Derivative - d/dx	2x^3+3x^2-36x	$2 x^{3} + 3 x^{2} - 36 x$
6674	Evaluate the Limit	limit as x approaches 0 of (x^3-6x+8)/(x-2)	$lim_{x \to 0} \frac{x^{3} - 6 x + 8}{x - 2}$
6675	Find the Derivative - d/dx	2x^2 natural log of x	$2 x^{2} \ln (x)$
6676	Find the Derivative - d/dx	2x^2+3xy+4y^2-2x+10y	$2 x^{2} + 3 x y + 4 y^{2} - 2 x + 10 y$
6677	Find the Derivative - d/dx	-2x^2+16 natural log of x	$- 2 x^{2} + 16 \ln (x)$
6678	Find the Derivative - d/dx	20 square root of x	$20 \sqrt{x}$
6679	Find the Derivative - d/dx	2xe^(-kx)	$2 x e^{- k x}$
6680	Find the Derivative - d/dx	2x^3-4x	$2 x^{3} - 4 x$
6681	Find the Derivative - d/dx	2x^3 natural log of x	$2 x^{3} \ln (x)$
6682	Find the Derivative - d/dx	2x^3+3x^2-12x	$2 x^{3} + 3 x^{2} - 12 x$
6683	Find the Derivative - d/dx	2x^3-144x^2+1944x	$2 x^{3} - 144 x^{2} + 1944 x$
6684	Find the Derivative - d/dx	2x-x^2	$2 x - x^{2}$
6685	Find the Derivative - d/dx	3sin(x)^2	$3 \sin^{2} (x)$
6686	Find the Derivative - d/dx	3e^(3x)	$3 e^{3 x}$
6687	Find the Derivative - d/dx	3e^(4x)	$3 e^{4 x}$
6688	Evaluate the Limit	limit as x approaches 8 of x/(x-8)	$lim_{x \to 8} \frac{x}{x - 8}$
6689	Find the Derivative - d/dx	3x^4-4x^3-12x^2+5	$3 x^{4} - 4 x^{3} - 12 x^{2} + 5$
6690	Find the Derivative - d/dx	3x^4 natural log of x	$3 x^{4} \ln (x)$
6691	Find the Derivative - d/dx	3x^2-5	$3 x^{2} - 5$
6692	Find the Derivative - d/dx	3x^2 natural log of 2x	$3 x^{2} \ln (2 x)$
6693	Find the Derivative - d/dx	3x^2sin(x)	$3 x^{2} \sin (x)$
6694	Find the Derivative - d/dx	4x^(2/3)	$4 x^{\frac{2}{3}}$
6695	Find the Derivative - d/dx	4sin(3x)^2	$4 \sin^{2} (3 x)$
6696	Find the Derivative - d/dx	4 square root of x^3	$4 \sqrt{x^{3}}$
6697	Find the Derivative - d/dx	4x^2-4x+1	$4 x^{2} - 4 x + 1$
6698	Find dy/dx	y=x^12e^x	$y = x^{12} e^{x}$
6699	Find the Derivative - d/dx	4x^3-40x^2+100x	$4 x^{3} - 40 x^{2} + 100 x$
6700	Find the Derivative - d/dx	4x^3-52x^2+169x	$4 x^{3} - 52 x^{2} + 169 x$