Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
4001	Evaluate the Limit	limit as x approaches -5 of (5-\|x\|)/(5+x)	$lim_{x \to - 5} \frac{5 - \| x \|}{5 + x}$
4002	Find the Derivative - d/dy	natural log of y	$\ln (y)$
4003	Find the Derivative - d/dx	f(x)=x^7e^(4x)	$f (x) = x^{7} e^{4 x}$
4004	Find the Derivative - d/dx	f(x)=xe^(-x^2)	$f (x) = x e^{- x^{2}}$
4005	Evaluate the Limit	limit as x approaches 3 of (5x^3-135)/(x-3)	$lim_{x \to 3} \frac{5 x^{3} - 135}{x - 3}$
4006	Find the Derivative - d/dx	f(x)=x^3-2x	$f (x) = x^{3} - 2 x$
4007	Find the Derivative - d/dx	f(x)=x^3-8	$f (x) = x^{3} - 8$
4008	Evaluate the Integral	integral of (2x)e^(4x) with respect to x	$\int (2 x) e^{4 x} d x$
4009	Find the Derivative - d/dx	f(x)=x^2tan(x)	$f (x) = x^{2} \tan (x)$
4010	Evaluate the Limit	limit as x approaches negative infinity of x^8+x^9	$lim_{x \to - \infty} x^{8} + x^{9}$
4011	Find the Derivative - d/dx	f(x)=2x^5+6x^8	$f (x) = 2 x^{5} + 6 x^{8}$
4012	Find the Derivative - d/dx	cos(4x^2)	$\cos (4 x^{2})$
4013	Find the Derivative - d/dx	cos(cos(x))	$\cos (\cos (x))$
4014	Find the Derivative - d/dx	cos(x)tan(x)	$\cos (x) \tan (x)$
4015	Find the Derivative - d/dx	cos(x)sec(x)	$\cos (x) \sec (x)$
4016	Find the Derivative - d/dx	cos(x-y)	$\cos (x - y)$
4017	Find the Derivative - d/dx	cos(xsin(x))	$\cos (x \sin (x))$
4018	Find the Derivative - d/dx	arccos(1/x)	$\arccos (\frac{1}{x})$
4019	Find the Derivative - d/dx	A(x)=120+12x+192/x	$A (x) = 120 + 12 x + \frac{192}{x}$
4020	Find the Derivative - d/dx	9 natural log of x	$9 \ln (x)$
4021	Find the Derivative - d/dx	arctan(e^(2x))	$\arctan (e^{2 x})$
4022	Find the Derivative - d/dx	arcsin(x-1)	$\arcsin (x - 1)$
4023	Find the Derivative - d/dx	arctan(x/3)	$\arctan (\frac{x}{3})$
4024	Find the Derivative - d/dx	arccos(3x)	$\arccos (3 x)$
4025	Find the Derivative - d/dx	-7x	$- 7 x$
4026	Find the Derivative - d/dx	7 natural log of x	$7 \ln (x)$
4027	Find the Derivative - d/dx	7x^2sin(x)+14xcos(x)-14sin(x)	$7 x^{2} \sin (x) + 14 x \cos (x) - 14 \sin (x)$
4028	Find the Derivative - d/dx	7tan(x)	$7 \tan (x)$
4029	Find the Derivative - d/dx	6tan(x)	$6 \tan (x)$
4030	Find the Derivative - d/dx	6x-1	$6 x - 1$
4031	Find the Derivative - d/dx	5x+2	$5 x + 2$
4032	Find the Derivative - d/dx	f(x)=(2x-3)^4(x^2+x+1)^5	$f (x) = {(2 x - 3)}^{4} {(x^{2} + x + 1)}^{5}$
4033	Find the Derivative - d/dx	f(x)=(7x+8)^2	$f (x) = {(7 x + 8)}^{2}$
4034	Find the Derivative - d/dx	f(x)=(x+8)^(2/3)	$f (x) = {(x + 8)}^{\frac{2}{3}}$
4035	Find the Derivative - d/dx	x/(x^2+25)	$\frac{x}{x^{2} + 25}$
4036	Find the Derivative - d/dx	sec(1/x)	$\sec (\frac{1}{x})$
4037	Find the Derivative - d/dx	sec( square root of x)	$\sec (\sqrt{x})$
4038	Find the Derivative - d/dx	log of 7x	$\log (7 x)$
4039	Find the Derivative - d/dx	log of 9x	$\log (9 x)$
4040	Find the Derivative - d/dx	natural log of sin(5x)	$\ln (\sin (5 x))$
4041	Find the Derivative - d/dx	natural log of natural log of 5x	$\ln (\ln (5 x))$
4042	Find the Derivative - d/dx	natural log of sec(7x)+tan(7x)	$\ln (\sec (7 x) + \tan (7 x))$
4043	Find the Derivative - d/dx	natural log of cot(x)	$\ln (\cot (x))$
4044	Find the Derivative - d/dx	natural log of ex	$\ln (e x)$
4045	Find the Derivative - d/dx	natural log of e	$\ln (e)$
4046	Find the Derivative - d/dx	natural log of natural log of 10x	$\ln (\ln (10 x))$
4047	Find the Derivative - d/dx	natural log of natural log of 2x	$\ln (\ln (2 x))$
4048	Find the Derivative - d/dx	natural log of cos(3x)	$\ln (\cos (3 x))$
4049	Find the Derivative - d/dx	natural log of 6-5x	$\ln (6 - 5 x)$
4050	Find the Derivative - d/dx	natural log of 4x+7	$\ln (4 x + 7)$
4051	Find the Derivative - d/dx	x(12-2x)^2	$x {(12 - 2 x)}^{2}$
4052	Find the Derivative - d/dx	tan(pix)	$\tan (π x)$
4053	Find the Derivative - d/dx	tan(arcsin(x))	$\tan (\arcsin (x))$
4054	Find the Derivative - d/dx	tan(xy)	$\tan (x y)$
4055	Find the Derivative - d/dx	tan(x)cos(x)	$\tan (x) \cos (x)$
4056	Find the Derivative - d/dx	tan(x+y)	$\tan (x + y)$
4057	Find the Derivative - d/dx	x(11-2x)(19-2x)	$x (11 - 2 x) (19 - 2 x)$
4058	Find the Derivative - d/dx	sin(pi/x)	$\sin (\frac{π}{x})$
4059	Find the Derivative - d/dx	sin( square root of 1+x^2)	$\sin (\sqrt{1 + x^{2}})$
4060	Find the Derivative - d/dx	sin(5x^4)	$\sin (5 x^{4})$
4061	Find the Derivative - d/dx	sec(tan(x))	$\sec (\tan (x))$
4062	Find the Derivative - d/dx	sin(7 natural log of x)	$\sin (7 \ln (x))$
4063	Find the Derivative - d/dx	sin(x) natural log of x	$\sin (x) \ln (x)$
4064	Find the Derivative - d/dx	tan(e^x)	$\tan (e^{x})$
4065	Find the Derivative - d/dx	tan(8x)	$\tan (8 x)$
4066	Find the Derivative - d/dx	tan(6x)	$\tan (6 x)$
4067	Find the Derivative - d/dx	tan(x/2)	$\tan (\frac{x}{2})$
4068	Find the Derivative - d/dx	tan(x^3)	$\tan (x^{3})$
4069	Find the Derivative - d/dx	y=(5x^2+2)(3x-2)	$y = (5 x^{2} + 2) (3 x - 2)$
4070	Find the Derivative - d/dx	y=(csc(x)+cot(x))(csc(x)-cot(x))	$y = (\csc (x) + \cot (x)) (\csc (x) - \cot (x))$
4071	Find the Derivative - d/dx	y=((x^2+1)/(x^2-1))^3	$y = {(\frac{x^{2} + 1}{x^{2} - 1})}^{3}$
4072	Find the Derivative - d/dx	y=(3 square root of x+2)x^2	$y = (3 \sqrt{x} + 2) x^{2}$
4073	Find the Derivative - d/dx	y=(3-x^2)(x^3-x+1)	$y = (3 - x^{2}) (x^{3} - x + 1)$
4074	Find the Derivative - d/dx	y=(2x^3+8)(3x^7-9)	$y = (2 x^{3} + 8) (3 x^{7} - 9)$
4075	Find the Derivative - d/dx	y=(3x^2-4x+1)(5-6x^2)	$y = (3 x^{2} - 4 x + 1) (5 - 6 x^{2})$
4076	Find the Derivative - d/dx	y=(3x+7) natural log of 2x-1	$y = (3 x + 7) \ln (2 x - 1)$
4077	Find the Derivative - d/dx	y=(4x^2+3)(3x-2)	$y = (4 x^{2} + 3) (3 x - 2)$
4078	Find the Derivative - d/dx	xcot(x)	$x \cot (x)$
4079	Find the Derivative - d/dx	xcsc(x)	$x \csc (x)$
4080	Find the Derivative - d/dx	x-2y	$x - 2 y$
4081	Find the Derivative - d/dx	x-5	$x - 5$
4082	Find the Derivative - d/dx	x-2cos(x)	$x - 2 \cos (x)$
4083	Find the Derivative - d/dx	x+16/x	$x + \frac{16}{x}$
4084	Find the Derivative - d/dx	x+9/x	$x + \frac{9}{x}$
4085	Find the Derivative - d/dx	x square root of 2x-3	$x \sqrt{2 x - 3}$
4086	Find the Derivative - d/dx	xsin(x)^2	$x \sin^{2} (x)$
4087	Find the Derivative - d/dx	(3x)/(2y)	$\frac{3 x}{2 y}$
4088	Find the Derivative - d/d@VAR	f(x) = square root of 1-2x	$f (x) = \sqrt{1 - 2 x}$
4089	Find the Derivative - d/dx	f(x)=mx+b	$f (x) = m x + b$
4090	Find the Derivative - d/dx	f(x) = natural log of 2x-3	$f (x) = \ln (2 x - 3)$
4091	Evaluate the Limit	limit as x approaches -9 of (9-\|x\|)/(9+x)	$lim_{x \to - 9} \frac{9 - \| x \|}{9 + x}$
4092	Find the Derivative - d/dx	f(x)=tan(2x)	$f (x) = \tan (2 x)$
4093	Find the Derivative - d/dx	f(x)=x(1-2x)^3	$f (x) = x {(1 - 2 x)}^{3}$
4094	Find the Derivative - d/dx	f(x)=x(4x-12)^3	$f (x) = x {(4 x - 12)}^{3}$
4095	Find the Derivative - d/dx	f(x)=xsin(x)+cos(x)	$f (x) = x \sin (x) + \cos (x)$
4096	Evaluate the Limit	limit as x approaches 5 of (x^2+3x-40)/(x^2-25)	$lim_{x \to 5} \frac{x^{2} + 3 x - 40}{x^{2} - 25}$
4097	Find the Derivative - d/dx	f(x)=x-x^3	$f (x) = x - x^{3}$
4098	Find the Derivative - d/dx	f(x) = natural log of 1/x	$f (x) = \ln (\frac{1}{x})$
4099	Find the Derivative - d/dx	natural log of e^(4x)	$\ln (e^{4 x})$
4100	Find the Derivative - d/dx	natural log of e^(5x)	$\ln (e^{5 x})$