Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
3101	Find the Derivative - d/dt	ccos(t)+t^2sin(t)	ccos $(t) + t^{2} \sin (t)$
3102	Find the Derivative - d/dt	cos((pit)/4)	$\cos (\frac{π t}{4})$
3103	Find the Derivative - d/dt	f(t)=(1/(t-3))^2	$f (t) = {(\frac{1}{t - 3})}^{2}$
3104	Find the Derivative - d/dt	(3 natural log of t)/(at-bt^2)	$\frac{3 \ln (t)}{a t - b t^{2}}$
3105	Find the Derivative - d/dt	(t^2)/2	$\frac{t^{2}}{2}$
3106	Find the Derivative - d/dt	y=t^2-3	$y = t^{2} - 3$
3107	Find the Derivative - d/dt	6t^2	$6 t^{2}$
3108	Find the Derivative - d/dx	(x^2-9)/(x-3)	$\frac{x^{2} - 9}{x - 3}$
3109	Find the Derivative - d/dx	1/((1-2x)^3)	$\frac{1}{{(1 - 2 x)}^{3}}$
3110	Find the Derivative - d/dx	1/(4x^2)	$\frac{1}{4 x^{2}}$
3111	Find the Derivative - d/dx	1/(x^(1/2))	$\frac{1}{x^{\frac{1}{2}}}$
3112	Find the Derivative - d/dx	1/2*(e^x+e^(-x))	$\frac{1}{2} \cdot (e^{x} + e^{- x})$
3113	Find the Derivative - d/dx	3/(x^4)	$\frac{3}{x^{4}}$
3114	Find the Derivative - d/dx	(2x+5)/(3x-2)	$\frac{2 x + 5}{3 x - 2}$
3115	Find the Derivative - d/dx	5x^(3/2)	$5 x^{\frac{3}{2}}$
3116	Find the Derivative - d/dx	2/(x+3)	$\frac{2}{x + 3}$
3117	Find the Derivative - d/dx	(5x+2)^2	${(5 x + 2)}^{2}$
3118	Find the Derivative - d/dx	(2x-1)^2	${(2 x - 1)}^{2}$
3119	Find the Derivative - d/dx	(2x-1)/(x^2)	$\frac{2 x - 1}{x^{2}}$
3120	Find the Local Maxima and Minima	x^3-3x	$x^{3} - 3 x$
3121	Find the Derivative - d/dx	y=7x-x^2	$y = 7 x - x^{2}$
3122	Find the Derivative - d/dx	(x^2-4)/(x-2)	$\frac{x^{2} - 4}{x - 2}$
3123	Find the Derivative - d/dx	3^(x natural log of x)	$3^{x \ln (x)}$
3124	Find the Derivative - d/dx	(4-sec(x))/(tan(x))	$\frac{4 - \sec (x)}{\tan (x)}$
3125	Find the Derivative - d/dx	x^2+6x	$x^{2} + 6 x$
3126	Find the Derivative - d/dx	e^(rx)	$e^{r x}$
3127	Find the Derivative - d/dx	y=sin(tan(4x))	$y = \sin (\tan (4 x))$
3128	Find the Derivative - d/dx	square root of x^2+7	$\sqrt{x^{2} + 7}$
3129	Find the Derivative - d/dx	(x-2)(2x+3)	$(x - 2) (2 x + 3)$
3130	Find the Derivative - d/dx	x/4-4/x	$\frac{x}{4} - \frac{4}{x}$
3131	Find the Derivative - d/dx	square root of x^2+21	$\sqrt{x^{2} + 21}$
3132	Find the Derivative - d/dx	(x^2)/(cos(x))	$\frac{x^{2}}{\cos (x)}$
3133	Find the Derivative - d/dx	( natural log of x^2)/x	$\frac{\ln (x^{2})}{x}$
3134	Find the Derivative - d/dx	e^(7 square root of x)	$e^{7 \sqrt{x}}$
3135	Find the Derivative - d/dx	( natural log of x)/(8x)	$\frac{\ln (x)}{8 x}$
3136	Find the Derivative - d/dx	( natural log of x)/(x^6)	$\frac{\ln (x)}{x^{6}}$
3137	Find the Derivative - d/dx	( natural log of x)/(e^x)	$\frac{\ln (x)}{e^{x}}$
3138	Find the Derivative - d/dx	sin( square root of cos(tan(pix)))	$\sin (\sqrt{\cos (\tan (π x))})$
3139	Find the Derivative - d/dx	y=pi^5	$y = π^{5}$
3140	Find the Derivative - d/dx	square root of natural log of 3x	$\sqrt{\ln (3 x)}$
3141	Find the Derivative - d/dx	square root of 8x	$\sqrt{8 x}$
3142	Find the Derivative - d/dx	(cos(x))/x	$\frac{\cos (x)}{x}$
3143	Find the Derivative - d/dx	square root of 3x-2	$\sqrt{3 x - 2}$
3144	Find the Derivative - d/dx	(x^5)/(x^3)	$\frac{x^{5}}{x^{3}}$
3145	Find the Derivative - d/dx	y=sin(tan(2x))	$y = \sin (\tan (2 x))$
3146	Find the Derivative - d/dx	y=1/(x^7)	$y = \frac{1}{x^{7}}$
3147	Find the Derivative - d/dx	y=(9 square root of x+8)x^2	$y = (9 \sqrt{x} + 8) x^{2}$
3148	Find the Derivative - d/dx	x/10	$\frac{x}{10}$
3149	Find the Derivative - d/dx	2x^3sin(x)-3xcos(x)	$2 x^{3} \sin (x) - 3 x \cos (x)$
3150	Find the Derivative - d/dx	2xcos(x)	$2 x \cos (x)$
3151	Find the Derivative - d/dx	2x^(1/2)	$2 x^{\frac{1}{2}}$
3152	Find the Derivative - d/dx	2x+2y	$2 x + 2 y$
3153	Find the Derivative - d/dx	(3x^2)/7	$\frac{3 x^{2}}{7}$
3154	Find the Derivative - d/dx	3x^2y^2	$3 x^{2} y^{2}$
3155	Find the Derivative - d/dx	3/(2x)	$\frac{3}{2 x}$
3156	Find the Derivative - d/dx	3x natural log of x	$3 x \ln (x)$
3157	Find the Derivative - d/dx	(x^5)/10	$\frac{x^{5}}{10}$
3158	Find the Derivative - d/dx	y=x^6e^x	$y = x^{6} e^{x}$
3159	Find the Derivative - d/dx	3sin(3x)	$3 \sin (3 x)$
3160	Find the Derivative - d/dx	3x-4	$3 x - 4$
3161	Find the Derivative - d/dx	5e^(-4x)	$5 e^{- 4 x}$
3162	Find the Derivative - d/dx	4sin(x)cos(x)	$4 \sin (x) \cos (x)$
3163	Find the Derivative - d/dx	4sec(x)	$4 \sec (x)$
3164	Find the Derivative - d/dx	((sin(x))/(1+cos(x)))^2	${(\frac{\sin (x)}{1 + \cos (x)})}^{2}$
3165	Find the Derivative - d/dx	5arctan(x)	$5 \arctan (x)$
3166	Find the Derivative - d/dx	xe^(xy)	$x e^{x y}$
3167	Find the Derivative - d/dx	x^3-3x	$x^{3} - 3 x$
3168	Find the Derivative - d/dx	x^8 natural log of x	$x^{8} \ln (x)$
3169	Find the Derivative - d/dx	x^(7x)	$x^{7 x}$
3170	Find the Derivative - d/dx	x^(8x)	$x^{8 x}$
3171	Find the Derivative - d/dx	x^3-3/2x^2	$x^{3} - \frac{3}{2} x^{2}$
3172	Find the Derivative - d/dx	x^2 natural log of 5x	$x^{2} \ln (5 x)$
3173	Find the Derivative - d/dx	x^2arctan(x)	$x^{2} \arctan (x)$
3174	Find the Derivative - d/dx	5	$5$
3175	Find the Derivative - d/d@VAR	f(x)=1/2x-1/3	$f (x) = \frac{1}{2} x - \frac{1}{3}$
3176	Evaluate the Limit	limit as x approaches 8 of (x^2-64)/(x-8)	$lim_{x \to 8} \frac{x^{2} - 64}{x - 8}$
3177	Find the Derivative - d/d@VAR	f(x)=-9/x	$f (x) = - \frac{9}{x}$
3178	Find the Derivative - d/d@VAR	f(x)=(4x^4+7x^3-3x^2-4x+5)/(x^3)	$f (x) = \frac{4 x^{4} + 7 x^{3} - 3 x^{2} - 4 x + 5}{x^{3}}$
3179	Find the Derivative - d/d@VAR	f(x)=x^2+x-6	$f (x) = x^{2} + x - 6$
3180	Find the Derivative - d/d@VAR	f(x)=2x^2+1	$f (x) = 2 x^{2} + 1$
3181	Find the Derivative - d/d@VAR	f(x) = square root of 1-4x	$f (x) = \sqrt{1 - 4 x}$
3182	Find the Derivative - d/d@VAR	f(x)=-8/x	$f (x) = \frac{- 8}{x}$
3183	Find the Derivative - d/dx	2tan(3x)	$2 \tan (3 x)$
3184	Find the 2nd Derivative	f(x)=(x^2-1)/(x^2+1)	$f (x) = \frac{x^{2} - 1}{x^{2} + 1}$
3185	Find the Derivative - d/d@VAR	f(t)=1/(3+t)	$f (t) = \frac{1}{3 + t}$
3186	Evaluate	arcsec(2)	$arcsec (2)$
3187	Find the Derivative - d/d@VAR	f(x)=9/(x^2)	$f (x) = \frac{9}{x^{2}}$
3188	Find the Concavity	f(x)=x^4-24x^2+12x	$f (x) = x^{4} - 24 x^{2} + 12 x$
3189	Find the Derivative - d/d?	sec(theta)tan(theta)	$\sec (θ) \tan (θ)$
3190	Find the Derivative - d/d?	sin(theta)	$\sin (θ)$
3191	Find the Derivative - d/d@VAR	f(x)=x^3-3x^2+1	$f (x) = x^{3} - 3 x^{2} + 1$
3192	Find the Derivative - d/dd	d/(dx)	$\frac{d}{d x}$
3193	Find the Derivative - d/dr	4/3*(pr^2)	$\frac{4}{3} \cdot (p r^{2})$
3194	Find the Derivative - d/dr	y=r/( square root of r^2+1)	$y = \frac{r}{\sqrt{r^{2} + 1}}$
3195	Find the Derivative - d/dt	2cos(t)	$2 \cos (t)$
3196	Find the Derivative - d/ds	s/(1+s^2)	$\frac{s}{1 + s^{2}}$
3197	Find the Derivative - d/ds	A(s)=-12/(s^5)	$A (s) = - \frac{12}{s^{5}}$
3198	Multiply	(x+h)^4	${(x + h)}^{4}$
3199	Multiply	(2+h)^3	${(2 + h)}^{3}$
3200	Simplify	(x^2-2x-8)/(x^3+x^2-2x)	$\frac{x^{2} - 2 x - 8}{x^{3} + x^{2} - 2 x}$