Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
46501	Solve Using the Quadratic Formula	12x^2-96x+135=0	$12 x^{2} - 96 x + 135 = 0$
46502	Solve Using the Quadratic Formula	4x^2+16x+23=0	$4 x^{2} + 16 x + 23 = 0$
46503	Solve Using the Quadratic Formula	12x^2-192x+527=0	$12 x^{2} - 192 x + 527 = 0$
46504	Solve Using the Quadratic Formula	2x^2-11x=1	$2 x^{2} - 11 x = 1$
46505	Evaluate the Derivative at a=4	h(x)=x^( square root of x) ; a=4	$h (x) = x^{\sqrt{x}}$ ; $a = 4$
46506	Find the Antiderivative	(dy)/(dx)=2y^2	$\frac{d y}{d x} = 2 y^{2}$
46507	Convert to Radical Form	37^(3/2)	$37^{\frac{3}{2}}$
46508	Convert to Radical Form	17^(3/2)	$17^{\frac{3}{2}}$
46509	Convert to Radical Form	12^(3/2)	$12^{\frac{3}{2}}$
46510	Convert to Radical Form	x^(-3/2)	$x^{\frac{- 3}{2}}$
46511	Find the Derivative Using Chain Rule - d/dx	y=(3x+8)^9	$y = {(3 x + 8)}^{9}$
46512	Find the Derivative Using Chain Rule - d/dx	y=(4x+5)^11	$y = {(4 x + 5)}^{11}$
46513	Find the Derivative Using Chain Rule - d/dx	y=(sec(x)+tan(x))^11	$y = {(\sec (x) + \tan (x))}^{11}$
46514	Find the Derivative Using Chain Rule - d/dx	(x+2)^3(2x-1)	${(x + 2)}^{3} (2 x - 1)$
46515	Find the Derivative Using Chain Rule - d/dx	y=cos(x)^9	$y = \cos^{9} (x)$
46516	Find the Derivative Using Chain Rule - d/dx	y=10xsin(x^2)	$y = 10 x \sin (x^{2})$
46517	Find the Derivative Using Chain Rule - d/dx	y=5arctan(x+ square root of 1+x^2)	$y = 5 \arctan (x + \sqrt{1 + x^{2}})$
46518	Find the Derivative Using Chain Rule - d/dx	y=5u^3 ; u=7x^4-4x^3+2x-9	$y = 5 u^{3}$ ; $u = 7 x^{4} - 4 x^{3} + 2 x - 9$
46519	Find the Derivative Using Chain Rule - d/dx	y=cos(3x^2-5)	$y = \cos (3 x^{2} - 5)$
46520	Find Where Increasing/Decreasing Using Derivatives	-x^3+3x^2-7	$- x^{3} + 3 x^{2} - 7$
46521	Find Where Increasing/Decreasing Using Derivatives	x^2 natural log of x	$x^{2} \ln (x)$
46522	Find Where Increasing/Decreasing Using Derivatives	x square root of 324-x^2	$x \sqrt{324 - x^{2}}$
46523	Find Where Increasing/Decreasing Using Derivatives	2x^3-9x^2-324x	$2 x^{3} - 9 x^{2} - 324 x$
46524	Find Where Increasing/Decreasing Using Derivatives	2/(x-7)	$\frac{2}{x - 7}$
46525	Convert to Rectangular	r=3cos(theta)	$r = 3 \cos (θ)$
46526	Convert to Rectangular	r=4sin(theta)+4cos(theta)	$r = 4 \sin (θ) + 4 \cos (θ)$
46527	Convert to Rectangular	2(cos(120 degrees )+isin(120 degrees ))	$2 (\cos (120 °) + i \sin (120 °))$
46528	Find the Derivative Using Chain Rule - d/d@VAR	f(x)=(2x^3+1)^4*(3x^2-5)^8	$f (x) = {(2 x^{3} + 1)}^{4} \cdot {(3 x^{2} - 5)}^{8}$
46529	Find the Derivative Using Chain Rule - d/d@VAR	f(x)=1/((x^5-x+1)^9)	$f (x) = \frac{1}{{(x^{5} - x + 1)}^{9}}$
46530	Find the Derivative Using Chain Rule - d/d@VAR	f(x)=(7x^6+8x^3)^4	$f (x) = {(7 x^{6} + 8 x^{3})}^{4}$
46531	Find Where Increasing/Decreasing Using Derivatives	3x^4-24x^3+48x^2	$3 x^{4} - 24 x^{3} + 48 x^{2}$
46532	Find Where Increasing/Decreasing Using Derivatives	2.34x-(x^2)/28000-3100	$2.34 x - \frac{x^{2}}{28000} - 3100$
46533	Find Where Increasing/Decreasing Using Derivatives	2x^3-9x^2+12x-3	$2 x^{3} - 9 x^{2} + 12 x - 3$
46534	Find Where Increasing/Decreasing Using Derivatives	(x^4)/4+3x^3+9x^2	$\frac{x^{4}}{4} + 3 x^{3} + 9 x^{2}$
46535	Find Where Increasing/Decreasing Using Derivatives	(x^2+25)/x	$\frac{x^{2} + 25}{x}$
46536	Find Where Increasing/Decreasing Using Derivatives	x^3-3x+8	$x^{3} - 3 x + 8$
46537	Find Where Increasing/Decreasing Using Derivatives	x^3-18x^2	$x^{3} - 18 x^{2}$
46538	Find Where Increasing/Decreasing Using Derivatives	x^(10/11)-x^(21/11)	$x^{\frac{10}{11}} - x^{\frac{21}{11}}$
46539	Find Where Increasing/Decreasing Using Derivatives	x square root of 32-x^2	$x \sqrt{32 - x^{2}}$
46540	Find Where Increasing/Decreasing Using Derivatives	6x^4+4x^3	$6 x^{4} + 4 x^{3}$
46541	Find the Derivative Using Chain Rule - d/dx	(5-6x)^5	${(5 - 6 x)}^{5}$
46542	Find the Derivative Using Chain Rule - d/dx	(9x^6+8x^3)^4	${(9 x^{6} + 8 x^{3})}^{4}$
46543	Find the Derivative Using Chain Rule - d/dx	(d^103)/(dx^103)(sin(x))	$\frac{d^{103}}{d x^{103}} (\sin (x))$
46544	Find the Derivative Using Chain Rule - d/dx	(d^2)/(dx^2)(f(x)g(x))	$\frac{d^{2}}{d x^{2}} (f (x) g (x))$
46545	Find the Derivative Using Chain Rule - d/dx	arccos(sin(x))	$\arccos (\sin (x))$
46546	Find the Derivative Using Chain Rule - d/dx	cos(7x^3)^4	$\cos^{4} (7 x^{3})$
46547	Find the Derivative Using Chain Rule - d/dx	J_j(theta)=-y^(j) log of sigma(x^(j)theta)-(1-y^(j)) log of 1-sigma(x^(j)theta)	$J_{j (θ)} = - y^{(j)} \log (σ (x^{(j)} \cdot θ)) - (1 - y^{(j)}) \log (1 - σ (x^{(j)} \cdot θ))$
46548	Find the Derivative Using Chain Rule - d/dx	y=(7x-2)^2(3-x^5)^2	$y = {(7 x - 2)}^{2} {(3 - x^{5})}^{2}$
46549	Find the Derivative Using Chain Rule - d/dx	y=(csc(x)+cot(x))^20	$y = {(\csc (x) + \cot (x))}^{20}$
46550	Find the Derivative Using Chain Rule - d/dx	y=cos(6sin(x))	$y = \cos (6 \sin (x))$
46551	Find the Derivative Using Chain Rule - d/dx	y=e^(3e^x)	$y = e^{3 e^{x}}$
46552	Find the Derivative Using Chain Rule - d/dx	y=sin(4x^3+3x+1)	$y = \sin (4 x^{3} + 3 x + 1)$
46553	Find the Derivative Using Chain Rule - d/dq	q = square root of 12r-r^7	$q = \sqrt{12 r - r^{7}}$
46554	Find the Derivative Using Chain Rule - d/du	y=5u^3 ; u=7x^4-4x^3+2x-9	$y = 5 u^{3}$ ; $u = 7 x^{4} - 4 x^{3} + 2 x - 9$
46555	Find the Derivative Using Chain Rule - d/dy	d/(dx)(y^3)	$\frac{d}{d x} (y^{3})$
46556	Find the Derivative Using Chain Rule - d/dy	(1/(y^2)-5/(y^4))(y+7y^3)	$(\frac{1}{y^{2}} - \frac{5}{y^{4}}) (y + 7 y^{3})$
46557	Find the Derivative Using Chain Rule - d/dt	t^9(t^6-4)^6	$t^{9} {(t^{6} - 4)}^{6}$
46558	Find the Derivative Using Chain Rule - d/dy	J_j(theta)=-y^(j) log of sigma(x^(j)theta)-(1-y^(j)) log of 1-sigma(x^(j)theta)	$J_{j (θ)} = - y^{(j)} \log (σ (x^{(j)} \cdot θ)) - (1 - y^{(j)}) \log (1 - σ (x^{(j)} \cdot θ))$
46559	Find the Derivative Using Chain Rule - d/dy	d/(dx)y^2	$\frac{d}{d x} y^{2}$
46560	Find the Derivative Using Chain Rule - d/dy	z=xy^3+x^3y^2	$z = x y^{3} + x^{3} y^{2}$
46561	Find the Derivative Using Chain Rule - d/dz	z=xy^3+x^3y^2	$z = x y^{3} + x^{3} y^{2}$
46562	Find the Derivative Using Chain Rule - d/dd	d/(dx)(xy)	$\frac{d}{d x} (x y)$
46563	Find the Derivative Using Chain Rule - d/dd	(d^103)/(dx^103)(sin(x))	$\frac{d^{103}}{d x^{103}} (\sin (x))$
46564	Find the Derivative Using Chain Rule - d/dd	d/(dx)(y^3)	$\frac{d}{d x} (y^{3})$
46565	Find the Derivative Using Chain Rule - d/dq	q=tan(t/( square root of t+8))	$q = \tan (\frac{t}{\sqrt{t + 8}})$
46566	Identify the Polar Equation	r=5sin(theta)	$r = 5 \sin (θ)$
46567	Find the Asymptotes	(x+2)/(x^2+8x+12)	$\frac{x + 2}{x^{2} + 8 x + 12}$
46568	Find the Asymptotes	(x^2-x)/(x^2-9x+8)	$\frac{x^{2} - x}{x^{2} - 9 x + 8}$
46569	Find the Asymptotes	3/(x-7)	$\frac{3}{x - 7}$
46570	Find the Asymptotes	(x+4)/(x-2)	$\frac{x + 4}{x - 2}$
46571	Find the Asymptotes	2/(x^2+4)	$\frac{2}{x^{2} + 4}$
46572	Find the Asymptotes	x+17/x	$x + \frac{17}{x}$
46573	Find the Asymptotes	(x+4)/(x^2-5x-36)	$\frac{x + 4}{x^{2} - 5 x - 36}$
46574	Find the Asymptotes	((3x+2)(x-4))/((5x-3)(-2x+1))	$\frac{(3 x + 2) (x - 4)}{(5 x - 3) (- 2 x + 1)}$
46575	Find the Asymptotes	(4x^2)/(x^2-9)	$\frac{4 x^{2}}{x^{2} - 9}$
46576	Find the Asymptotes	(8x-1)/x	$\frac{8 x - 1}{x}$
46577	Find the Asymptotes	(x+4)/(x^2+9x+20)	$\frac{x + 4}{x^{2} + 9 x + 20}$
46578	Find the Asymptotes	(x^2+3x+2)/(x-1)	$\frac{x^{2} + 3 x + 2}{x - 1}$
46579	Find the Asymptotes	(9+x^4)/(x^2-x^4)	$\frac{9 + x^{4}}{x^{2} - x^{4}}$
46580	Find the Asymptotes	(x+5)/(x^2+14x+45)	$\frac{x + 5}{x^{2} + 14 x + 45}$
46581	Find the Asymptotes	(x^2-6x)/(x^4-1296)	$\frac{x^{2} - 6 x}{x^{4} - 1296}$
46582	Find the Asymptotes	(x^3-x)/(x^2-6x+5)	$\frac{x^{3} - x}{x^{2} - 6 x + 5}$
46583	Find the Asymptotes	( square root of 36x^2+7)/(9x+4)	$\frac{\sqrt{36 x^{2} + 7}}{9 x + 4}$
46584	Find the Asymptotes	(x+4)/(x^3-13x^2+36x)	$\frac{x + 4}{x^{3} - 13 x^{2} + 36 x}$
46585	Find the Sum of the Series	1 , 1/2 , 1/4 , 1/8 , 1/16	$1$ , $\frac{1}{2}$ , $\frac{1}{4}$ , $\frac{1}{8}$ , $\frac{1}{16}$
46586	Find the Difference Quotient	f(x)=5-8x	$f (x) = 5 - 8 x$
46587	Find the Difference Quotient	f(x)=5x+7	$f (x) = 5 x + 7$
46588	Find the Difference Quotient	f(x)=5-2x^3	$f (x) = 5 - 2 x^{3}$
46589	Find Where Increasing/Decreasing	f(x)=-10/(x^2)	$f (x) = - \frac{10}{x^{2}}$
46590	Find the Derivative Using Quotient Rule - d/dx	-(3x)/(4y)	$- \frac{3 x}{4 y}$
46591	Find the Derivative Using Quotient Rule - d/dx	y=(4x+9)/( square root of x)	$y = \frac{4 x + 9}{\sqrt{x}}$
46592	Find the Derivative Using Quotient Rule - d/dx	-(18x)/y	$- \frac{18 x}{y}$
46593	Find the Derivative Using Quotient Rule - d/dy	-(3x)/(4y)	$- \frac{3 x}{4 y}$
46594	Find the Derivative Using Quotient Rule - d/dy	-(4x)/(3y)	$- \frac{4 x}{3 y}$
46595	Find the Derivative Using Quotient Rule - d/dd	d/(dx)(x^12)/(x^2)	$\frac{d}{d x} \frac{x^{12}}{x^{2}}$
46596	Find the Derivative Using Quotient Rule - d/d@VAR	h(w)=(2w^3-w)/w	$h (w) = \frac{2 w^{3} - w}{w}$
46597	Find the Derivative Using Quotient Rule - d/d@VAR	h(w)=(4w^3-w)/w	$h (w) = \frac{4 w^{3} - w}{w}$
46598	Find Where Increasing/Decreasing	f(x)=9x^2-1	$f (x) = 9 x^{2} - 1$
46599	Find the Domain	11x-1	$11 x - 1$
46600	Find the Domain	(1-4t)/(2+t)	$\frac{1 - 4 t}{2 + t}$