Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
60301	Find the Volume	y = cube root of x , y=0 , x=1	$y = \sqrt[3]{x}$ , $y = 0$ , $x = 1$
60302	Find the x and y Intercepts	(x+1)/(x-1)	$\frac{x + 1}{x - 1}$
60303	Find the Second Derivative	f(x)=4x^3-3x^4	$f (x) = 4 x^{3} - 3 x^{4}$
60304	Find the Second Derivative	f(x)=(x^3)/3-x^2-8x	$f (x) = \frac{x^{3}}{3} - x^{2} - 8 x$
60305	Complete the Square	x^2+2x+5	$x^{2} + 2 x + 5$
60306	Find the Inflection Points	y=(5x)/(x^2-1)	$y = \frac{5 x}{x^{2} - 1}$
60307	Find the Inflection Points	y=x^4-4x^3	$y = x^{4} - 4 x^{3}$
60308	Find dy/dt	y=te^(-t)	$y = t e^{- t}$
60309	Find dz/dx	z=xe^(x+y)	$z = x e^{x + y}$
60310	Find dx/dy	y=(x^-2+x)^-3	$y = {(x^{- 2} + x)}^{- 3}$
60311	Find dq/dr	q = square root of 18r-r^5	$q = \sqrt{18 r - r^{5}}$
60312	Find the Inverse	3x-2	$3 x - 2$
60313	Convert to Rectangular	cube root of 2(cos(120 degrees )+isin(120 degrees ))	$\sqrt[3]{2} (\cos (120 °) + i \sin (120 °))$
60314	Find Where Increasing/Decreasing Using Derivatives	x^4-6x^2	$x^{4} - 6 x^{2}$
60315	Find Where Increasing/Decreasing Using Derivatives	(e^x)/(8+e^x)	$\frac{e^{x}}{8 + e^{x}}$
60316	Find the Inflection Points	x square root of 4-x^2	$x \sqrt{4 - x^{2}}$
60317	Find the Inflection Points	x square root of 6-x	$x \sqrt{6 - x}$
60318	Find the Inflection Points	3x^(2/3)-x	$3 x^{\frac{2}{3}} - x$
60319	Find the Inflection Points	7 square root of xe^(-x)	$7 \sqrt{x} e^{- x}$
60320	Expand the Logarithmic Expression	log base a of (x^6y)/(z^3)	$\log_{a} (\frac{x^{6} y}{z^{3}})$
60321	Expand the Logarithmic Expression	log base 6 of 17y	$\log_{6} (17 y)$
60322	Find the Local Maxima and Minima	f(x)=x^(2/5)	$f (x) = x^{\frac{2}{5}}$
60323	Find the Local Maxima and Minima	f(x)=2x-500/x	$f (x) = 2 x - \frac{500}{x}$
60324	Find the Local Maxima and Minima	f(x)=7(x-e^x)	$f (x) = 7 (x - e^{x})$
60325	Find the Local Maxima and Minima	f(x)=x^3-6x^2-15x+2	$f (x) = x^{3} - 6 x^{2} - 15 x + 2$
60326	Find the Critical Points	x^2-9	$x^{2} - 9$
60327	Find the Critical Points	x^8(x-2)^7	$x^{8} {(x - 2)}^{7}$
60328	Find the Critical Points	6x^2-6x-12	$6 x^{2} - 6 x - 12$
60329	Find the Critical Points	5x^2+3x+1	$5 x^{2} + 3 x + 1$
60330	Find the Critical Points	2x^3+3x^2-120x+1	$2 x^{3} + 3 x^{2} - 120 x + 1$
60331	Convert to Trigonometric Form	(1-i square root of 3)^3	${(1 - i \sqrt{3})}^{3}$
60332	Identify the Zeros and Their Multiplicities	y=x^2-12x+36	$y = x^{2} - 12 x + 36$
60333	Find the Critical Points	y=x^3-6x^2-36x	$y = x^{3} - 6 x^{2} - 36 x$
60334	Find the Third Derivative	e^(3x)	$e^{3 x}$
60335	Find the Fourth Derivative	e^(3x)	$e^{3 x}$
60336	Find the Fourth Derivative	natural log of 1+x	$\ln (1 + x)$
60337	Find the Domain and Range	square root of 1-x	$\sqrt{1 - x}$
60338	Find the Concavity	(4x)/(x^2+1)	$\frac{4 x}{x^{2} + 1}$
60339	Find the Concavity	x square root of 4-x^2	$x \sqrt{4 - x^{2}}$
60340	Find the Concavity	x square root of 6-x	$x \sqrt{6 - x}$
60341	Find the Concavity	-4x^4+3x^3-5x+10	$- 4 x^{4} + 3 x^{3} - 5 x + 10$
60342	Find the Concavity	e^x	$e^{x}$
60343	Find the Concavity	x^4-6x^2-8x-3	$x^{4} - 6 x^{2} - 8 x - 3$
60344	Write in Standard Form	x^2+y^2+3y=0	$x^{2} + y^{2} + 3 y = 0$
60345	Write in Standard Form	x^2+y^2+16x-8y+76=0	$x^{2} + y^{2} + 16 x - 8 y + 76 = 0$
60346	Find the Domain and Range	f(x)=-10-x^2	$f (x) = - 10 - x^{2}$
60347	Find the x and y Intercepts	y=x^5-5x	$y = x^{5} - 5 x$
60348	Find the Average Value of the Function	f(x)=8x-16 ; [1,5]	$f (x) = 8 x - 16$ ; $[1, 5]$
60349	Find the Average Value of the Function	y=2e^(-x) , [0,2]	$y = 2 e^{- x}$ , $[0, 2]$
60350	Find the Concavity	f(x)=e^(-2.5x^2)	$f (x) = e^{- 2.5 x^{2}}$
60351	Find the Concavity	f(x)=4x^4-8x^2+12	$f (x) = 4 x^{4} - 8 x^{2} + 12$
60352	Find the Concavity	f(x)=3x^3-9x	$f (x) = 3 x^{3} - 9 x$
60353	Find the Concavity	f(x)=x^4-4x^3-2x+8	$f (x) = x^{4} - 4 x^{3} - 2 x + 8$
60354	Find the Concavity	f(x)=2x^3-3x^2-12x+1	$f (x) = 2 x^{3} - 3 x^{2} - 12 x + 1$
60355	Find the Derivative of the Integral	integral from a to b of f(x) with respect to x	$\int_{a}^{b} f (x) d x$
60356	Find the Derivative of the Integral	f(x) = integral from x to x^2 of t^2 with respect to t	$f (x) = \int_{x}^{x^{2}} t^{2} d t$
60357	Identify the Sequence	9 , -6 , 4 , -8/3	$9$ , $- 6$ , $4$ , $- \frac{8}{3}$
60358	Find the Derivative of the Integral	integral from 0 to x of square root of t^4+t^6 with respect to t	$\int_{0}^{x} \sqrt{t^{4} + t^{6}} d t$
60359	Find the Antiderivative	f(x)=1/5-2/x	$f (x) = \frac{1}{5} - \frac{2}{x}$
60360	Find the Antiderivative	f(x)=2x-5	$f (x) = 2 x - 5$
60361	Find the Antiderivative	f(x)=21x^20	$f (x) = 21 x^{20}$
60362	Find the Antiderivative	f(x)=-2+12x-12x^2	$f (x) = - 2 + 12 x - 12 x^{2}$
60363	Find the Antiderivative	f(x)=10x^2	$f (x) = 10 x^{2}$
60364	Find the Antiderivative	f(x)=pi	$f (x) = π$
60365	Find the Antiderivative	f(x)=8x^(3/5)+7x^(-4/5)	$f (x) = 8 x^{\frac{3}{5}} + 7 x^{- \frac{4}{5}}$
60366	Find the Antiderivative	f(x)=5x- square root of x	$f (x) = 5 x - \sqrt{x}$
60367	Find the Antiderivative	f(x)=x^(2/3)	$f (x) = x^{\frac{2}{3}}$
60368	Find the Antiderivative	q(y)=y^4+1/y	$q (y) = y^{4} + \frac{1}{y}$
60369	Find the Antiderivative	r(t)=2/(t^2)	$r (t) = \frac{2}{t^{2}}$
60370	Find the Antiderivative	g(x)=-3x^-4	$g (x) = - 3 x^{- 4}$
60371	Find the Antiderivative	g(t)=t^7+t^6	$g (t) = t^{7} + t^{6}$
60372	Find the Antiderivative	g(t)=t^8+t^7	$g (t) = t^{8} + t^{7}$
60373	Find the Antiderivative	g(t)=e^(-4t)	$g (t) = e^{- 4 t}$
60374	Find the Local Maxima and Minima	y=xe^(3x)	$y = x e^{3 x}$
60375	Find the Maximum/Minimum Value	y=x^2-8x+7	$y = x^{2} - 8 x + 7$
60376	Find the Local Maxima and Minima	f(x,y)=x^2+xy+y^2-37y+456	$f (x, y) = x^{2} + x y + y^{2} - 37 y + 456$
60377	Find the Local Maxima and Minima	f(x,y)=x^2+xy+y^2-22y+161	$f (x, y) = x^{2} + x y + y^{2} - 22 y + 161$
60378	Find the Local Maxima and Minima	f(x,y)=6-x^2-6x-y^2	$f (x, y) = 6 - x^{2} - 6 x - y^{2}$
60379	Find the Local Maxima and Minima	f(x,y)=2x^2+3xy+4y^2+6x-7y	$f (x, y) = 2 x^{2} + 3 x y + 4 y^{2} + 6 x - 7 y$
60380	Find the Maximum/Minimum Value	f(x,y)=x^2+xy+y^2-25y+208	$f (x, y) = x^{2} + x y + y^{2} - 25 y + 208$
60381	Find the Derivative - d/dz	1000e^(-z/10)	$1000 e^{- \frac{z}{10}}$
60382	Find f(g(x))	f(x)=8x-2x^2-x^3 , g(x)=0	$f (x) = 8 x - 2 x^{2} - x^{3}$ , $g (x) = 0$
60383	Find the Derivative - d/du	tan(u)-cot(u)	$\tan (u) - \cot (u)$
60384	Find the Derivative - d/dt	tsin(pit)	$t \sin (π t)$
60385	Find the Derivative - d/dt	-te^(-2t)+e^(-2t)	$- t e^{- 2 t} + e^{- 2 t}$
60386	Find the Derivative - d/dt	t^4(t^5-9)^5	$t^{4} {(t^{5} - 9)}^{5}$
60387	Find the Derivative - d/dt	e^(t^4)	$e^{t^{4}}$
60388	Find the Derivative - d/dt	sin(t)^3	$\sin^{3} (t)$
60389	Find the Derivative - d/dt	sin(3t)	$\sin (3 t)$
60390	Find the Derivative - d/dt	sin(5t)	$\sin (5 t)$
60391	Find the Derivative - d/dt	e^(3t)-1	$e^{3 t} - 1$
60392	Find the Derivative - d/dt	(95t)/(99t-95)	$\frac{95 t}{99 t - 95}$
60393	Find the Derivative - d/dt	10+(0.8t)sin((t^3)/100)	$10 + (0.8 t) \sin (\frac{t^{3}}{100})$
60394	Find the Derivative - d/dt	2te^(-t)	$2 t e^{- t}$
60395	Find the Derivative - d/dt	-2cos( square root of t)+1/2t	$- 2 \cos (\sqrt{t}) + \frac{1}{2} t$
60396	Find the Derivative - d/dt	2e^(3t)	$2 e^{3 t}$
60397	Find the Derivative - d/dt	6cos(t)	$6 \cos (t)$
60398	Find the Derivative - d/dt	7sin(t)	$7 \sin (t)$
60399	Find the Derivative - d/dt	6.687(0.931)^t	$6.687 {(0.931)}^{t}$
60400	Find the Derivative - d/dt	arccsc(-9t^2)	$arccsc (- 9 t^{2})$