Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
47601	Find the Domain	f(x)=( square root of x)/(3x^2+2x-1)	$f (x) = \frac{\sqrt{x}}{3 x^{2} + 2 x - 1}$
47602	Find the Domain	f(x) = square root of r^2-x^2	$f (x) = \sqrt{r^{2} - x^{2}}$
47603	Find the Domain	f(x) = natural log of e^x-8	$f (x) = \ln (e^{x} - 8)$
47604	Find the Domain	g(x) = square root of x^2-64	$g (x) = \sqrt{x^{2} - 64}$
47605	Find the Domain	g(u) = square root of u- square root of 9-u	$g (u) = \sqrt{u} - \sqrt{9 - u}$
47606	Find the Domain	f(x)=(x-5)/(x^2+5x-6)	$f (x) = \frac{x - 5}{x^{2} + 5 x - 6}$
47607	Identify the Polar Equation	r=8sin(theta)	$r = 8 \sin (θ)$
47608	Identify the Polar Equation	r=-2sin(theta)	$r = - 2 \sin (θ)$
47609	Identify the Polar Equation	r^2=4cos(2theta)	$r^{2} = 4 \cos (2 θ)$
47610	Identify the Polar Equation	r=1+2cos(theta)	$r = 1 + 2 \cos (θ)$
47611	Find the Slope and y-intercept	x=6y+7	$x = 6 y + 7$
47612	Convert to an Improper Fraction	7 3/4	$7 \frac{3}{4}$
47613	Find the Average Rate of Change	f(t)=4t^2-1 , [1,1.1]	$f (t) = 4 t^{2} - 1$ , $[1, 1.1]$
47614	Find Where Undefined/Discontinuous	(x^2-49)/(x-7)	$\frac{x^{2} - 49}{x - 7}$
47615	Find the Concavity	3sin(x)+3cos(x)	$3 \sin (x) + 3 \cos (x)$
47616	Find the Concavity	12x^4-72x^2	$12 x^{4} - 72 x^{2}$
47617	Find the Concavity	2x^3-24x-5	$2 x^{3} - 24 x - 5$
47618	Find the Concavity	21x^2-x^3	$21 x^{2} - x^{3}$
47619	Find the Concavity	8x^6-11x^5	$8 x^{6} - 11 x^{5}$
47620	Find the Concavity	-2/(x^2-x-6)	$\frac{- 2}{x^{2} - x - 6}$
47621	Find the Concavity	3x^4-18x^3+x-3	$3 x^{4} - 18 x^{3} + x - 3$
47622	Find the Concavity	x square root of x+21	$x \sqrt{x + 21}$
47623	Find the Concavity	13e^(-x)	$13 e^{- x}$
47624	Find the Concavity	10x^2-10sin(2x)	$10 x^{2} - 10 \sin (2 x)$
47625	Find the Concavity	2cos(x)+cos(x)^2	$2 \cos (x) + \cos^{2} (x)$
47626	Find the Concavity	(x+10)/(x^2-100)	$\frac{x + 10}{x^{2} - 100}$
47627	Find the Concavity	x^4-8x^2+3	$x^{4} - 8 x^{2} + 3$
47628	Find the Concavity	3x^4-20x^3+42x^2-36x	$3 x^{4} - 20 x^{3} + 42 x^{2} - 36 x$
47629	Find the Concavity	(x+5)/(x^2-25)	$\frac{x + 5}{x^{2} - 25}$
47630	Find the Concavity	1/5x^5+7/2x^4+71/3x^3+77x^2+120x	$\frac{1}{5} x^{5} + \frac{7}{2} x^{4} + \frac{71}{3} x^{3} + 77 x^{2} + 120 x$
47631	Find the Concavity	natural log of x^2-2x+17	$\ln (x^{2} - 2 x + 17)$
47632	Find the Second Term	a_n=((-1)^(n-1))/(5^n)	$a_{n} = \frac{{(- 1)}^{n - 1}}{5^{n}}$
47633	Find the Domain and Range	y = square root of 9-x	$y = \sqrt{9 - x}$
47634	Find the Domain and Range	y=x^2-10	$y = x^{2} - 10$
47635	Find the Area Between the Curves	y=4x^2 , y=4 square root of x	$y = 4 x^{2}$ , $y = 4 \sqrt{x}$
47636	Find the Area Between the Curves	y=x^2-12x-51 , y=3-x^2	$y = x^{2} - 12 x - 51$ , $y = 3 - x^{2}$
47637	Find the Area Between the Curves	x=2y^2 , x=0 , y=3	$x = 2 y^{2}$ , $x = 0$ , $y = 3$
47638	Find the Area Between the Curves	y = square root of x , y=1/4x , x=25	$y = \sqrt{x}$ , $y = \frac{1}{4} x$ , $x = 25$
47639	Find the Area Between the Curves	y=2/x , y=8x , y=1/8x , x>0	$y = \frac{2}{x}$ , $y = 8 x$ , $y = \frac{1}{8} x$ , $x > 0$
47640	Find the Area Between the Curves	x=7-7y^2 , x=7y^2-7	$x = 7 - 7 y^{2}$ , $x = 7 y^{2} - 7$
47641	Find the Area Between the Curves	y=3x , y=0 , x=3	$y = 3 x$ , $y = 0$ , $x = 3$
47642	Find the Area Between the Curves	y=3x^2 , y=3 square root of x	$y = 3 x^{2}$ , $y = 3 \sqrt{x}$
47643	Find the Area Between the Curves	y=1-x^2 , y=29-11x	$y = 1 - x^{2}$ , $y = 29 - 11 x$
47644	Find the Area Between the Curves	y=13-x^2 , y=x^2-5	$y = 13 - x^{2}$ , $y = x^{2} - 5$
47645	Find the Area Between the Curves	y=\|6x\| , y=x^2-7	$y = \| 6 x \|$ , $y = x^{2} - 7$
47646	Find the Domain and Range	-2x+5y=10	$- 2 x + 5 y = 10$
47647	Find the Discriminant	16x^2-32x+16=0	$16 x^{2} - 32 x + 16 = 0$
47648	Find the Derivative Using Chain Rule - d/dd	(d^99)/(dx^99)sin(x)	$\frac{d^{99}}{d x^{99}} \sin (x)$
47649	Find the Derivative Using Chain Rule - d/dk	y=3xe^(-kx)	$y = 3 x e^{- k x}$
47650	Find the Derivative Using Chain Rule - d/dp	p=(7+sec(q))/(7-sec(q))	$p = \frac{7 + \sec (q)}{7 - \sec (q)}$
47651	Find the Derivative Using Chain Rule - d/dq	p=(7+sec(q))/(7-sec(q))	$p = \frac{7 + \sec (q)}{7 - \sec (q)}$
47652	Find the Derivative Using Chain Rule - d/dr	r=(sec(theta)+tan(theta))^-3	$r = {(\sec (θ) + \tan (θ))}^{- 3}$
47653	Find the Derivative Using Chain Rule - d/dt	q=sin(t/( square root of t+9))	$q = \sin (\frac{t}{\sqrt{t + 9}})$
47654	Find the Derivative Using Chain Rule - d/dd	(d^3)/(dx^3)sin(x)^3	$\frac{d^{3}}{d x^{3}} \sin^{3} (x)$
47655	Find the Derivative Using Chain Rule - d/dd	(d^86)/(dx^86)(sin(x))	$\frac{d^{86}}{d x^{86}} (\sin (x))$
47656	Find the Derivative Using Chain Rule - d/dA	(dA)/(dt)=2pi(40)(0.04)	$\frac{d A}{d t} = 2 π (40) (0.04)$
47657	Find the Derivative Using Chain Rule - d/dz	z=A/(y^13)+Be^y	$z = \frac{A}{y^{13}} + B e^{y}$
47658	Find the Derivative Using Chain Rule - d/dt	y = natural log of \|1+t-t^3\|	$y = \ln (\| 1 + t - t^{3} \|)$
47659	Find the Derivative Using Chain Rule - d/dt	y=t^4(t^5-9)^5	$y = t^{4} {(t^{5} - 9)}^{5}$
47660	Find the Derivative Using Chain Rule - d/dw	z=w^(3/2)(w+ce^w)	$z = w^{\frac{3}{2}} (w + c e^{w})$
47661	Find the Derivative Using Chain Rule - d/dt	(da)/(dt)=2pi(40)(0.04)	$\frac{d a}{d t} = 2 π (40) (0.04)$
47662	Find the Derivative Using Chain Rule - d/dd	(da)/(dt)=2pi(40)(0.04)	$\frac{d a}{d t} = 2 π (40) (0.04)$
47663	Find the Derivative Using Chain Rule - d/dx	(3x+5)^11	${(3 x + 5)}^{11}$
47664	Find the Derivative Using Chain Rule - d/dx	(6x-5)^2(3-x^5)^2	${(6 x - 5)}^{2} {(3 - x^{5})}^{2}$
47665	Find the Derivative Using Chain Rule - d/dx	(7x^6+2x^3)^4	${(7 x^{6} + 2 x^{3})}^{4}$
47666	Find the Derivative Using Chain Rule - d/dx	(d^119)/(dx^119)(sin(x))	$\frac{d^{119}}{d x^{119}} (\sin (x))$
47667	Find the Derivative Using Chain Rule - d/dx	(d^3)/(dx^3)sin(x)^3	$\frac{d^{3}}{d x^{3}} \sin^{3} (x)$
47668	Find the Derivative Using Chain Rule - d/dx	(d^91)/(dx^91)(sin(x))	$\frac{d^{91}}{d x^{91}} (\sin (x))$
47669	Find the Derivative Using Chain Rule - d/dx	(d^99)/(dx^99)sin(x)	$\frac{d^{99}}{d x^{99}} \sin (x)$
47670	Find the Derivative Using Chain Rule - d/dx	(arctan(4x))^2	${(\arctan (4 x))}^{2}$
47671	Find the Derivative Using Chain Rule - d/dx	limit as x approaches infinity of arctan(e^x)	$lim_{x \to \infty} \arctan (e^{x})$
47672	Find the Derivative Using Chain Rule - d/dx	1+x=sin(xy^2)	$1 + x = \sin (x y^{2})$
47673	Find the Derivative Using Chain Rule - d/dx	2x(7x^2-2)^4	$2 x {(7 x^{2} - 2)}^{4}$
47674	Find the Derivative Using Chain Rule - d/dx	natural log of sin(x)^2	$\ln (\sin^{2} (x))$
47675	Find the Derivative Using Chain Rule - d/dx	natural log of x^2-3y-yx=6	$\ln (x^{2} - 3) y - y x = 6$
47676	Find the Derivative Using Chain Rule - d/dx	y=3/((2x)^-2)	$y = \frac{3}{{(2 x)}^{- 2}}$
47677	Find the Derivative Using Chain Rule - d/dx	y=(5x+7)^11	$y = {(5 x + 7)}^{11}$
47678	Find the Derivative Using Chain Rule - d/dx	y=(9-e^x)^9	$y = {(9 - e^{x})}^{9}$
47679	Find the Derivative Using Chain Rule - d/dx	y=(cos(x)+5sin(x))^9	$y = {(\cos (x) + 5 \sin (x))}^{9}$
47680	Find the Derivative Using Chain Rule - d/dx	y=(sec(x)+tan(x))^13	$y = {(\sec (x) + \tan (x))}^{13}$
47681	Find the Derivative Using Chain Rule - d/dx	y=(sec(x)+tan(x))^19	$y = {(\sec (x) + \tan (x))}^{19}$
47682	Find the Derivative Using Chain Rule - d/dx	y=(sin(x)+5cos(x))^8	$y = {(\sin (x) + 5 \cos (x))}^{8}$
47683	Find the Derivative Using Chain Rule - d/dx	y=(sin(x)+5cos(x))^9	$y = {(\sin (x) + 5 \cos (x))}^{9}$
47684	Find the Derivative Using Chain Rule - d/dx	y = square root of 6+sec(pix^2)	$y = \sqrt{6 + \sec (π x^{2})}$
47685	Find the Derivative Using Chain Rule - d/dx	y=3xe^(-kx)	$y = 3 x e^{- k x}$
47686	Find the Derivative Using Chain Rule - d/dx	y=4x(3x+5)^3	$y = 4 x {(3 x + 5)}^{3}$
47687	Find the Derivative Using Chain Rule - d/dx	y=5(7x^3+1)^-3	$y = 5 {(7 x^{3} + 1)}^{- 3}$
47688	Find the Derivative Using Chain Rule - d/dx	y=a^7+cos(x)^7	$y = a^{7} + \cos^{7} (x)$
47689	Find the Derivative Using Chain Rule - d/dx	y=cos(4sin(x))	$y = \cos (4 \sin (x))$
47690	Find the Derivative Using Chain Rule - d/dx	y=cos(5sin(x))	$y = \cos (5 \sin (x))$
47691	Find the Derivative Using Chain Rule - d/dx	y=cos(x)^17	$y = \cos^{17} (x)$
47692	Find the Derivative Using Chain Rule - d/dx	y=sec(tan(x))	$y = \sec (\tan (x))$
47693	Find the Derivative Using Chain Rule - d/dx	y=sin(8cos(x))	$y = \sin (8 \cos (x))$
47694	Find the Derivative Using Chain Rule - d/dx	y=arcsin(6x+1)	$y = \arcsin (6 x + 1)$
47695	Find the Derivative Using Chain Rule - d/dx	y=sin(x)^18	$y = \sin^{18} (x)$
47696	Find the Derivative Using Chain Rule - d/dx	y=sin(tan(5x))^3	$y = \sin^{3} (\tan (5 x))$
47697	Find the Derivative Using Chain Rule - d/dx	y=tan(15xe^x)	$y = \tan (15 x e^{x})$
47698	Find the Derivative Using Chain Rule - d/dx	y=tan(5x^2)	$y = \tan (5 x^{2})$
47699	Find the Derivative Using Chain Rule - d/dx	y=x^2arctan(x)	$y = x^{2} \arctan (x)$
47700	Find the Derivative Using Chain Rule - d/dx	y=xcos(1-3x)	$y = x \cos (1 - 3 x)$