Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
4301	Simplify	(f(a+h)-fa)/h	$\frac{f (a + h) - f a}{h}$
4302	Simplify	square root of tan(x)	$\sqrt{\tan (x)}$
4303	Simplify	( square root of x+5-3)/(x-4)	$\frac{\sqrt{x + 5} - 3}{x - 4}$
4304	Simplify	( square root of 7(x^(-1/2)))/(4 square root of 2+ square root of 7x)	$\frac{\sqrt{7} (x^{- \frac{1}{2}})}{4 \sqrt{2 + \sqrt{7 x}}}$
4305	Multiply	(x-h)^3	${(x - h)}^{3}$
4306	Simplify	((2+h)^2-2^2)/h	$\frac{{(2 + h)}^{2} - 2^{2}}{h}$
4307	Find the Derivative - d/dt	(t^2)/(t-1)	$\frac{t^{2}}{t - 1}$
4308	Find the Derivative - d/dt	e^(3t)	$e^{3 t}$
4309	Find the Derivative - d/dt	t/((t-1)^2)	$\frac{t}{{(t - 1)}^{2}}$
4310	Find the Derivative - d/dt	e^(7tsin(2t))	$e^{7 t \sin (2 t)}$
4311	Find the Derivative - d/dt	4t^3- square root of t+2	$4 t^{3} - \sqrt{t} + 2$
4312	Find the Derivative - d/dt	cos(t)^3	$\cos^{3} (t)$
4313	Find the Derivative - d/dr	V(r)=4/3*(pr^3)	$V (r) = \frac{4}{3} \cdot (p r^{3})$
4314	Find the Derivative - d/dr	e^(rx)	$e^{r x}$
4315	Find the Derivative - d/dr	pr^2h	$p r^{2} h$
4316	Find the Derivative - d/dr	(d^2)/(dr^2)*(pr^2)	$\frac{d^{2}}{d r^{2}} \cdot (p r^{2})$
4317	Find the Derivative - d/dg	f(g(x))	$f (g (x))$
4318	Find the Derivative - d/da	y=ax^2+bx+c	$y = a x^{2} + b x + c$
4319	Find the Derivative - d/da	y=cos(a^3+x^3)	$y = \cos (a^{3} + x^{3})$
4320	Find the Derivative - d/da	y=cos(a^5+x^5)	$y = \cos (a^{5} + x^{5})$
4321	Find the Derivative - d/da	(3a+1)^2	${(3 a + 1)}^{2}$
4322	Find the Derivative - d/d?	theta	$θ$
4323	Find the Derivative - d/d@VAR	f(x)=\|x-9\|	$f (x) = \| x - 9 \|$
4324	Find the Derivative - d/d@VAR	f(x)=(3x^2-5)/(7x^2-2)	$f (x) = \frac{3 x^{2} - 5}{7 x^{2} - 2}$
4325	Find the Derivative - d/d@VAR	f(x)=sin(7x)	$f (x) = \sin (7 x)$
4326	Find the Derivative - d/d@VAR	f(x)=cos(x)^2	$f (x) = \cos^{2} (x)$
4327	Find dy/dx	y=(4x-2)^2	$y = {(4 x - 2)}^{2}$
4328	Find the Derivative - d/d@VAR	f(x)=0	$f (x) = 0$
4329	Find the Derivative - d/d@VAR	f(x) = square root of 25-x^2	$f (x) = \sqrt{25 - x^{2}}$
4330	Find the Derivative - d/d@VAR	f(x)=x^5cos(x)	$f (x) = x^{5} \cos (x)$
4331	Find the Derivative - d/d@VAR	f(x) = square root of 2x-3	$f (x) = \sqrt{2 x - 3}$
4332	Find the Derivative - d/d@VAR	f(x)=(2x+1)/(x+3)	$f (x) = \frac{2 x + 1}{x + 3}$
4333	Find the Derivative - d/d@VAR	f(x)=x^2+4x	$f (x) = x^{2} + 4 x$
4334	Find the Derivative - d/d@VAR	f(x)=e^(1-20x+5x^2)	$f (x) = e^{1 - 20 x + 5 x^{2}}$
4335	Find the Derivative - d/d@VAR	f(x)=2^3*0	$f (x) = 2^{30}$
4336	Find the Derivative - d/dx	7 square root of x	$7 \sqrt{x}$
4337	Find the Derivative - d/d@VAR	f(x) = natural log of 3e^(2x-5)(3x^3+5)^7	$f (x) = \ln (3 e^{(2 x - 5)} {(3 x^{3} + 5)}^{7})$
4338	Find the Derivative - d/d@VAR	f(x)=x^5 natural log of x	$f (x) = x^{5} \ln (x)$
4339	Find the Derivative - d/d@VAR	f(x)=4/3pir^3	$f (x) = \frac{4}{3} π r^{3}$
4340	Find the Derivative - d/d@VAR	f(x)=x^6 natural log of 7x	$f (x) = x^{6} \ln (7 x)$
4341	Evaluate the Limit	limit as x approaches -4 of (x^3+64)/(x+4)	$lim_{x \to - 4} \frac{x^{3} + 64}{x + 4}$
4342	Find the Derivative - d/d@VAR	V(r)=4/3pir^3	$V (r) = \frac{4}{3} π r^{3}$
4343	Find the Derivative - d/d@VAR	f(x)=6x^4	$f (x) = 6 x^{4}$
4344	Find the Derivative - d/d@VAR	f(x)=(e^(7x^2-3))/( natural log of 3x+5)	$f (x) = \frac{e^{(7 x^{2} - 3)}}{\ln (3 x + 5)}$
4345	Find the Derivative - d/d@VAR	f(x)=1/(x^6)	$f (x) = \frac{1}{x^{6}}$
4346	Find the Derivative - d/d@VAR	f(x)=6xe^xcsc(x)	$f (x) = 6 x e^{x} \csc (x)$
4347	Find the Derivative - d/d@VAR	f(x)=2sin(x)+tan(x)	$f (x) = 2 \sin (x) + \tan (x)$
4348	Find the Derivative - d/d@VAR	f(x)=(3x^2-7x-3)^2*16	$f (x) = {(3 x^{2} - 7 x - 3)}^{2016}$
4349	Find the Derivative - d/dx	sin(pix)	$\sin (π x)$
4350	Evaluate the Integral	integral of ydy with respect to y	$\int yds y d y$
4351	Find the Derivative - d/dx	y = square root of 11x+ square root of 11x+ square root of 11x	$y = \sqrt{11 x + \sqrt{11 x + \sqrt{11 x}}}$
4352	Find the Derivative - d/d@VAR	s(x)=x(x^2-8/x)	$s (x) = x (x^{2} - \frac{8}{x})$
4353	Find the Derivative - d/d@VAR	f(x)=(e^x)/(3+e^x)	$f (x) = \frac{e^{x}}{3 + e^{x}}$
4354	Find the Derivative - d/d@VAR	f(x)=2^5*0	$f (x) = 2^{50}$
4355	Find the Derivative - d/d@VAR	f(x)=0.002x^3+8+7626/x	$f (x) = 0.002 x^{3} + 8 + \frac{7626}{x}$
4356	Find the Derivative - d/d@VAR	f(x)=-7/x	$f (x) = \frac{- 7}{x}$
4357	Find the Derivative - d/d@VAR	f(x)=x^2+9	$f (x) = x^{2} + 9$
4358	Evaluate the Limit	limit as x approaches 2 of square root of (5x^2+5)/(5x-1)	$lim_{x \to 2} \sqrt{\frac{5 x^{2} + 5}{5 x - 1}}$
4359	Find the Derivative - d/dx	x^11	$x^{11}$
4360	Find the Derivative - d/dx	x^2e^(-1/x)	$x^{2} e^{- \frac{1}{x}}$
4361	Find the Derivative - d/dx	x^2e^(-2x)	$x^{2} e^{- 2 x}$
4362	Find the Derivative - d/dx	x^2 natural log of 2x	$x^{2} \ln (2 x)$
4363	Find the Derivative - d/dx	x^2sin(1/x)	$x^{2} \sin (\frac{1}{x})$
4364	Find the Derivative - d/dx	x^2sin(x)+2xcos(x)-2sin(x)	$x^{2} \sin (x) + 2 x \cos (x) - 2 \sin (x)$
4365	Evaluate the Integral	integral of 6 with respect to x	$\int 6 d x$
4366	Find the Derivative - d/dx	x^7+8x^7 natural log of x	$x^{7} + 8 x^{7} \ln (x)$
4367	Find the Derivative - d/dx	x^5 natural log of 3x	$x^{5} \ln (3 x)$
4368	Find the Derivative - d/dx	x^4-5x^2+4	$x^{4} - 5 x^{2} + 4$
4369	Find the Derivative - d/dx	x^3tan(x)	$x^{3} \tan (x)$
4370	Find the Derivative - d/dx	x^3-3x+2	$x^{3} - 3 x + 2$
4371	Find the Derivative - d/dx	1+1/x	$1 + \frac{1}{x}$
4372	Find the Derivative - d/dx	(x-4)/(x+4)	$\frac{x - 4}{x + 4}$
4373	Find the Derivative - d/dx	xy^3	$x y^{3}$
4374	Find the Derivative - d/dx	xe^(4x)	$x e^{4 x}$
4375	Find the Derivative - d/dx	1-cos(9x)	$1 - \cos (9 x)$
4376	Find the Derivative - d/dx	2cos(x)^3	$2 \cos^{3} (x)$
4377	Find the Derivative - d/dx	2cos(x)^2	$2 \cos^{2} (x)$
4378	Find the Derivative - d/dx	10x	$10 x$
4379	Find the Derivative - d/dx	12-192/(x^2)	$12 - \frac{192}{x^{2}}$
4380	Find the Derivative - d/dx	5e^(5x)	$5 e^{5 x}$
4381	Find the Derivative - d/dx	4e^(2x)	$4 e^{2 x}$
4382	Find the Derivative - d/dx	-3sec(x)sin(x)	$- 3 \sec (x) \sin (x)$
4383	Find the Derivative - d/dx	3cos(2x)	$3 \cos (2 x)$
4384	Find the Derivative - d/dx	4x^2sin(x)	$4 x^{2} \sin (x)$
4385	Find the Derivative - d/dx	4x^2+3	$4 x^{2} + 3$
4386	Find the Derivative - d/dx	4e^x-x^2	$4 e^{x} - x^{2}$
4387	Find the Derivative - d/dx	4x^(3/2)	$4 x^{\frac{3}{2}}$
4388	Find the Derivative - d/dx	-3x^2+54 natural log of x	$- 3 x^{2} + 54 \ln (x)$
4389	Find the Derivative - d/dx	3x^2-2cos(x)	$3 x^{2} - 2 \cos (x)$
4390	Find the Derivative - d/dx	3x^2-3	$3 x^{2} - 3$
4391	Find the Derivative - d/dx	3x^2-5x	$3 x^{2} - 5 x$
4392	Find the Derivative - d/dx	3xe^(-x)	$3 x e^{- x}$
4393	Find the Derivative - d/dX	3x^2- natural log of x	$3 x^{2} - \ln (x)$
4394	Find the Derivative - d/dx	3e^(-x^3)	$3 e^{- x^{3}}$
4395	Find the Derivative - d/dx	2x+y	$2 x + y$
4396	Find the Derivative - d/dx	2x^3+3x^2-12x+1	$2 x^{3} + 3 x^{2} - 12 x + 1$
4397	Find the Derivative - d/dx	2x^4 natural log of x	$2 x^{4} \ln (x)$
4398	Find the Derivative - d/dx	2+sin(x)	$2 + \sin (x)$
4399	Find the Derivative - d/dx	2xe^(-x)	$2 x e^{- x}$
4400	Find the Derivative - d/dx	2xy^3	$2 x y^{3}$