Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
3201	Simplify	square root of sin(x)	$\sqrt{\sin (x)}$
3202	Simplify	arccot(1/( square root of 3))	$arccot (\frac{1}{\sqrt{3}})$
3203	Simplify	square root of cube root of 1-x	$\sqrt{\sqrt[3]{1 - x}}$
3204	Find dy/dx	7cos(x)*sin(y)=3	$7 \cos (x) \cdot \sin (y) = 3$
3205	Find the Domain	f(x)=sin(e^(-x))	$f (x) = \sin (e^{- x})$
3206	Find the Domain	arcsin(e^x)	$\arcsin (e^{x})$
3207	Simplify	arcsec(2/( square root of 3))	$arcsec (\frac{2}{\sqrt{3}})$
3208	Simplify	( cube root of y)^2	${(\sqrt[3]{y})}^{2}$
3209	Find the Derivative Using Quotient Rule - d/dx	-x/y	$- \frac{x}{y}$
3210	Find the Derivative Using Product Rule - d/dx	sec(x)	$\sec (x)$
3211	Find the Derivative Using Chain Rule - d/dx	sec(x)	$\sec (x)$
3212	Find dx/dy	7cos(xy)=3x+8y	$7 \cos (x y) = 3 x + 8 y$
3213	Find dx/dt	x=4t^2+t	$x = 4 t^{2} + t$
3214	Evaluate the Limit	limit as x approaches 0 of (3(1-cos(x)))/x	$lim_{x \to 0} \frac{3 (1 - \cos (x))}{x}$
3215	Find the Integral	1/(x^4)	$\frac{1}{x^{4}}$
3216	Find the Integral	\|x\|	$\| x \|$
3217	Find the Integral	4/x	$\frac{4}{x}$
3218	Find the Integral	4x	$4 x$
3219	Find the Integral	x^7	$x^{7}$
3220	Find the Integral	x^(3/2)	$x^{\frac{3}{2}}$
3221	Find the Derivative - d/dx	y=xsin(2/x)	$y = x \sin (\frac{2}{x})$
3222	Find the Derivative - d/dx	(x/3.1+3.1/x)(x^2+1)	$(\frac{x}{3.1} + \frac{3.1}{x}) (x^{2} + 1)$
3223	Find the Derivative - d/dx	y=sin(tan(x))	$y = \sin (\tan (x))$
3224	Find the Derivative - d/dx	y=sin(9x)	$y = \sin (9 x)$
3225	Find the Horizontal Tangent Line	y=x^2+5	$y = x^{2} + 5$
3226	Find the Derivative - d/dx	6 square root of x+5cos(x)	$6 \sqrt{x} + 5 \cos (x)$
3227	Find the Derivative - d/dy	xe^(y/z)	$x e^{\frac{y}{z}}$
3228	Find the Derivative - d/dy	4y	$4 y$
3229	Find the Integral	square root of x	$\sqrt{x}$
3230	Find the Derivative - d/dy	y^(1/2)	$y^{\frac{1}{2}}$
3231	Find the Derivative - d/dy	2y^3	$2 y^{3}$
3232	Find the Derivative - d/dy	(y-3)/(y^2-3y+9)	$\frac{y - 3}{y^{2} - 3 y + 9}$
3233	Find the Derivative - d/dy	natural log of y^2	$\ln (y^{2})$
3234	Find the Derivative - d/dz	cube root of z	$\sqrt[3]{z}$
3235	Find the Derivative - d/dx	fifth root of 7x	$\sqrt[5]{7 x}$
3236	Find the Derivative - d/dx	y=4e^x	$y = 4 e^{x}$
3237	Find the Derivative - d/dx	y=3x-1	$y = 3 x - 1$
3238	Find the Derivative - d/dx	y=5x^2+cos(x)	$y = 5 x^{2} + \cos (x)$
3239	Find the Derivative - d/dx	y=5xe^x-5e^x	$y = 5 x e^{x} - 5 e^{x}$
3240	Find the Derivative - d/dx	y=2sin(x)cos(x)	$y = 2 \sin (x) \cos (x)$
3241	Find the Derivative - d/dx	y=3x^2+4x	$y = 3 x^{2} + 4 x$
3242	Find the Derivative - d/dx	y=3e^(5x)	$y = 3 e^{5 x}$
3243	Find the Derivative - d/dx	y=16-x^4	$y = 16 - x^{4}$
3244	Find the Derivative - d/dx	y=5xarcsin(x)	$y = 5 x \arcsin (x)$
3245	Find the Derivative - d/dx	y=6x^3e^(-x)	$y = 6 x^{3} e^{- x}$
3246	Find the Derivative - d/dx	y=7arctan(x- square root of 1+x^2)	$y = 7 \arctan (x - \sqrt{1 + x^{2}})$
3247	Find the Derivative - d/dx	cos(8x)	$\cos (8 x)$
3248	Find the Derivative - d/dx	y=picos(6x+0.71)	$y = π \cos (6 x + 0.71)$
3249	Find the Derivative - d/dx	y = natural log of tan(x)	$y = \ln (\tan (x))$
3250	Find the Derivative - d/dx	x^5cos(x)	$x^{5} \cos (x)$
3251	Find the Derivative - d/dx	y = natural log of x^5	$y = \ln (x^{5})$
3252	Find the Derivative - d/dx	y = natural log of x^6	$y = \ln (x^{6})$
3253	Find the Derivative - d/dx	y = natural log of x/(1+x^2)	$y = \ln (\frac{x}{1 + x^{2}})$
3254	Find the Derivative - d/dx	(3x^2-9x+11)/(2x+4)	$\frac{3 x^{2} - 9 x + 11}{2 x + 4}$
3255	Find the Derivative - d/dx	y=(sin(x))^( natural log of x)
3256	Find the Derivative - d/dx	y = natural log of 10/x	$y = \ln (\frac{10}{x})$
3257	Find the Derivative - d/dx	y=(7-sec(x))/(tan(x))	$y = \frac{7 - \sec (x)}{\tan (x)}$
3258	Find the Derivative - d/dx	y=e^(-16x)	$y = e^{- 16 x}$
3259	Find the Derivative - d/dx	y=e^(1/x)	$y = e^{\frac{1}{x}}$
3260	Find the Derivative - d/dx	y=arccos(x^2)	$y = \arccos (x^{2})$
3261	Find the Derivative - d/dx	x^2-6x	$x^{2} - 6 x$
3262	Find the Derivative - d/dx	y=e^(cos(x))	$y = e^{\cos (x)}$
3263	Find the Derivative - d/dx	2-x^2	$2 - x^{2}$
3264	Find the Derivative - d/dx	(x/3.4+3.4/x)(x^2+1)	$(\frac{x}{3.4} + \frac{3.4}{x}) (x^{2} + 1)$
3265	Find the Derivative - d/dx	y = natural log of (x^4+5x^2)^(3/2)	$y = \ln ({(x^{4} + 5 x^{2})}^{\frac{3}{2}})$
3266	Find the Derivative - d/dx	7/(6x^2)	$\frac{7}{6 x^{2}}$
3267	Find the Derivative - d/dx	y=tan(x)^2	$y = \tan^{2} (x)$
3268	Find the Derivative - d/dx	y=x^2sin(8x)	$y = x^{2} \sin (8 x)$
3269	Find the Derivative - d/dx	y=x^2 natural log of 6x	$y = x^{2} \ln (6 x)$
3270	Find the Derivative - d/dx	natural log of x^8	$\ln (x^{8})$
3271	Find the Derivative - d/dx	((x+5)/(x^2+2))^2	${(\frac{x + 5}{x^{2} + 2})}^{2}$
3272	Find the Derivative - d/dx	y=x^2 natural log of 2x	$y = x^{2} \ln (2 x)$
3273	Find the Derivative - d/dx	y=x^3-3x	$y = x^{3} - 3 x$
3274	Find the Derivative - d/dx	y=x^3-4x	$y = x^{3} - 4 x$
3275	Find the Derivative - d/dx	y=x^(tan(x))	$y = x^{\tan (x)}$
3276	Find the Derivative - d/dx	y=x^3-3x^2+1	$y = x^{3} - 3 x^{2} + 1$
3277	Find the Derivative - d/dx	x/(x^2+81)	$\frac{x}{x^{2} + 81}$
3278	Find the Derivative - d/dx	4x-3x^2	$4 x - 3 x^{2}$
3279	Find the Derivative - d/dx	(x^3-3x^2+10x-5)/(x^2)	$\frac{x^{3} - 3 x^{2} + 10 x - 5}{x^{2}}$
3280	Find the Derivative - d/dx	(x^5)/10-16/(x^2)	$\frac{x^{5}}{10} - \frac{16}{x^{2}}$
3281	Find the Derivative - d/dx	y=x^(-2/5)	$y = x^{- \frac{2}{5}}$
3282	Find the Derivative - d/dx	arctan(4x)	$\arctan (4 x)$
3283	Find the Derivative - d/dx	y=x/(2-tan(x))	$y = \frac{x}{2 - \tan (x)}$
3284	Find the Derivative - d/dx	y=x^(1/3)	$y = x^{\frac{1}{3}}$
3285	Find the Derivative - d/dx	y=( square root of x-4)/( square root of x+4)	$y = \frac{\sqrt{x} - 4}{\sqrt{x} + 4}$
3286	Find the Derivative - d/dx	y = square root of x-1/( square root of x)	$y = \sqrt{x} - \frac{1}{\sqrt{x}}$
3287	Find the Derivative - d/dx	y = square root of sin( square root of x)	$y = \sqrt{\sin (\sqrt{x})}$
3288	Find the Derivative - d/dx	y = square root of 5-7x	$y = \sqrt{5 - 7 x}$
3289	Find the Derivative - d/dx	y = square root of natural log of 2x	$y = \sqrt{\ln (2 x)}$
3290	Find the Derivative - d/dx	y = square root of 3-7x	$y = \sqrt{3 - 7 x}$
3291	Find the Derivative - d/dx	5x^5	$5 x^{5}$
3292	Find the Derivative - d/dx	y=(x^2-6x+12)/(x-4)	$y = \frac{x^{2} - 6 x + 12}{x - 4}$
3293	Find the Derivative - d/dx	y=1/(x^6)	$y = \frac{1}{x^{6}}$
3294	Find the Derivative - d/dx	y=1/(1+x^2)	$y = \frac{1}{1 + x^{2}}$
3295	Find the Derivative - d/dx	y=1/( natural log of x)	$y = \frac{1}{\ln (x)}$
3296	Find the Derivative - d/dx	y=4/( square root of x)	$y = \frac{4}{\sqrt{x}}$
3297	Find the Derivative - d/dx	y=5/((2x)^3)+2cos(x)	$y = \frac{5}{{(2 x)}^{3}} + 2 \cos (x)$
3298	Find the Derivative - d/dx	y=29^x	$y = 29^{x}$
3299	Find the Derivative - d/dx	y=23^x	$y = 23^{x}$
3300	Find the Derivative - d/dx	y=(3x^5-7x^2-4)/(x^2)	$y = \frac{3 x^{5} - 7 x^{2} - 4}{x^{2}}$