Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
59801	Find the Antiderivative	f(x)=8x	$f (x) = 8 x$
59802	Find the Antiderivative	f(x)=6x^5-7x^4-9x^2	$f (x) = 6 x^{5} - 7 x^{4} - 9 x^{2}$
59803	Solve for t	20=3e^(t/2)	$20 = 3 e^{\frac{t}{2}}$
59804	Solve for t	e^(3t)=2200	$e^{3 t} = 2200$
59805	Find the Second Derivative	8x^3y-7y^2+2x	$8 x^{3} y - 7 y^{2} + 2 x$
59806	Find dy/dx	sin(xy)=x^2	$\sin (x y) = x^{2}$
59807	Find dy/dx	x^3y+xy^3=-10	$x^{3} y + x y^{3} = - 10$
59808	Find dy/dx	x^3+4xy^3+y^4=13	$x^{3} + 4 x y^{3} + y^{4} = 13$
59809	Find dy/dx	xy^3-ye^x=2	$x y^{3} - y e^{x} = 2$
59810	Find dy/dx	y=x^(8/x)	$y = x^{\frac{8}{x}}$
59811	Find dV/dr	V=4/3pir^3	$V = \frac{4}{3} π r^{3}$
59812	Find the Local Maxima and Minima	f(x,y)=x^3-12xy+8y^3	$f (x, y) = x^{3} - 12 x y + 8 y^{3}$
59813	Convert to Polar Coordinates	(8,0)	$(8, 0)$
59814	Find the Area Under the Curve	y=2x ; [2,5]	$y = 2 x$ ; $[2, 5]$
59815	Find the Area Under the Curve	y=2x ; [2,6]	$y = 2 x$ ; $[2, 6]$
59816	Find the Area Under the Curve	y=2x ; [1,4]	$y = 2 x$ ; $[1, 4]$
59817	Find the Area Under the Curve	y=2x ; [1,5]	$y = 2 x$ ; $[1, 5]$
59818	Find the Derivative - d/dy	8x^3y-7y^2+2x	$8 x^{3} y - 7 y^{2} + 2 x$
59819	Find the Derivative - d/dR	2piR^2	$2 π R^{2}$
59820	Find the Derivative - d/dr	4/3pir^2	$\frac{4}{3} π r^{2}$
59821	Find the Asymptotes	(x^3-4x)/(x^2)	$\frac{(x^{3} - 4 x)}{x^{2}}$
59822	Find the Antiderivative	f(x)=5	$f (x) = 5$
59823	Find the Antiderivative	f(x)=5e^x	$f (x) = 5 e^{x}$
59824	Find the Antiderivative	f(x)=4e^x	$f (x) = 4 e^{x}$
59825	Find the Antiderivative	g(z) = square root of z	$g (z) = \sqrt{z}$
59826	Find the Roots (Zeros)	x^2-x-6	$x^{2} - x - 6$
59827	Find the Foci	16x^2-4y^2=64	$16 x^{2} - 4 y^{2} = 64$
59828	Solve for y	x+2y=2	$x + 2 y = 2$
59829	Solve for t	x=e^(2t)	$x = e^{2 t}$
59830	Solve for n	sum from i=1 to n of (8i+5)/(n^2)	$\sum_{i = 1}^{n} \frac{8 i + 5}{n^{2}}$
59831	Find the Directrix	y=1/16x^2	$y = \frac{1}{16} x^{2}$
59832	Find dy/dx	y^4-2y=x	$y^{4} - 2 y = x$
59833	Find dy/dx	-xy-2=x/7	$- x y - 2 = \frac{x}{7}$
59834	Find dy/dx	2y-x+xy=5	$2 y - x + x y = 5$
59835	Find the Third Derivative	x^3	$x^{3}$
59836	Find the Second Derivative	2cos(x/2)	$2 \cos (\frac{x}{2})$
59837	Find the Second Derivative	(2000t)/(4t+75)	$\frac{2000 t}{4 t + 75}$
59838	Find the x and y Intercepts	3x^4+4x^3	$3 x^{4} + 4 x^{3}$
59839	Find the Area Between the Curves	y=x^2-8 , y=8	$y = x^{2} - 8$ , $y = 8$
59840	Find the Area Between the Curves	x=-5 , x=2 , y=11x , y=x^2-12	$x = - 5$ , $x = 2$ , $y = 11 x$ , $y = x^{2} - 12$
59841	Find the Area Between the Curves	y=3x^2 ; y=12	$y = 3 x^{2}$ ; $y = 12$
59842	Divide	5/6	$\frac{5}{6}$
59843	Find the Inverse	cube root of x^2	$\sqrt[3]{x^{2}}$
59844	Find the Inflection Points	f(x)=xe^x	$f (x) = x e^{x}$
59845	Find the Average Value of the Function	f(x)=x^2+x-7 ; [0,14]	$f (x) = x^{2} + x - 7$ ; $[0, 14]$
59846	Find the Area Under the Curve	y=e^x ; [0,2]	$y = e^{x}$ ; $[0, 2]$
59847	Find the Antiderivative	g(t) = square root of t	$g (t) = \sqrt{t}$
59848	Find the Antiderivative	r(t)=4/(t^2)	$r (t) = \frac{4}{t^{2}}$
59849	Find the Antiderivative	f(x)=cos(7x)	$f (x) = \cos (7 x)$
59850	Find the Antiderivative	f(x)=6x^5-2x^4-9x^2	$f (x) = 6 x^{5} - 2 x^{4} - 9 x^{2}$
59851	Find the Antiderivative	f(x)=6x^5-4x^4-9x^2	$f (x) = 6 x^{5} - 4 x^{4} - 9 x^{2}$
59852	Find the Antiderivative	f(x)=4/( square root of x)	$f (x) = \frac{4}{\sqrt{x}}$
59853	Find the Derivative - d/dt	90+45cos((t^2)/18)	$90 + 45 \cos (\frac{t^{2}}{18})$
59854	Find the Derivative - d/dt	5cos(t)	$5 \cos (t)$
59855	Find the Derivative - d/dz	xe^(y/z)	$x e^{\frac{y}{z}}$
59856	Find the Derivative - d/dy	1/(4y^2)	$\frac{1}{4 y^{2}}$
59857	Solve for t	log base 6 of t=2	$\log_{6} (t) = 2$
59858	Solve for t	6=12(0.85)^t	$6 = 12 {(0.85)}^{t}$
59859	Solve for y	(dy)/(dx)=2xy^-2	$\frac{d y}{d x} = 2 x y^{- 2}$
59860	Solve for y	(dy)/(dx)=2xy	$\frac{d y}{d x} = 2 x y$
59861	Find the Third Derivative	tan(x)	$\tan (x)$
59862	Find the Third Derivative	1/(1-x)	$\frac{1}{1 - x}$
59863	Simplify	y<-2x-8	$y < - 2 x - 8$
59864	Find Where Increasing/Decreasing Using Derivatives	3x^4-4x^3	$3 x^{4} - 4 x^{3}$
59865	Find the Sample Standard Deviation	4.85 , 5.10 , 5.50 , 4.75 , 4.50 , 5 , 6	$4.85$ , $5.1$ , $5.5$ , $4.75$ , $4.5$ , $5$ , $6$
59866	Find the Concavity	x^4-4x^3+1	$x^{4} - 4 x^{3} + 1$
59867	Find the Concavity	2xe^x	$2 x e^{x}$
59868	Solve by Factoring	x^5-11x^3+28x=0	$x^{5} - 11 x^{3} + 28 x = 0$
59869	Find the Concavity	f(x)=xe^(-x)	$f (x) = x e^{- x}$
59870	Find the Area Between the Curves	y=5x+6 , y=x^2	$y = 5 x + 6$ , $y = x^{2}$
59871	Find the Area Between the Curves	x=-5 , x=1 , y=6x , y=x^2-7	$x = - 5$ , $x = 1$ , $y = 6 x$ , $y = x^{2} - 7$
59872	Divide	26/3	$\frac{26}{3}$
59873	Divide	9/12	$\frac{9}{12}$
59874	Find the Local Maxima and Minima	f(x,y)=2x^2+3xy+4y^2-5x+2y	$f (x, y) = 2 x^{2} + 3 x y + 4 y^{2} - 5 x + 2 y$
59875	Find the Inflection Points	f(x)=e^(-x^2)	$f (x) = e^{- x^{2}}$
59876	Find the Inflection Points	x^4-2x^2+3	$x^{4} - 2 x^{2} + 3$
59877	Find the Local Maxima and Minima	f(x)=x^3-10x^2+25x	$f (x) = x^{3} - 10 x^{2} + 25 x$
59878	Find the Antiderivative	f(x) = square root of 3	$f (x) = \sqrt{3}$
59879	Find the Antiderivative	f(x)=e^2	$f (x) = e^{2}$
59880	Find the Antiderivative	f(x)=x(18x+8)	$f (x) = x (18 x + 8)$
59881	Find the Antiderivative	r(t)=1/(t^2)	$r (t) = \frac{1}{t^{2}}$
59882	Find the Antiderivative	h(t)=2cos(t)	$h (t) = 2 \cos (t)$
59883	Find the Area Under the Curve	y=7/x ; [1,10]	$y = \frac{7}{x}$ ; $[1, 10]$
59884	Find the Area Under the Curve	y=x^3 ; [2,4]	$y = x^{3}$ ; $[2, 4]$
59885	Find the Area Under the Curve	y=x^3 ; [0,2]	$y = x^{3}$ ; $[0, 2]$
59886	Find the Derivative - d/dy	(y^3)/3	$\frac{y^{3}}{3}$
59887	Find the Derivative - d/dy	sin(y)	$\sin (y)$
59888	Find the Derivative - d/dv	av^2+b/(v^2)	$a v^{2} + \frac{b}{v^{2}}$
59889	Find the Derivative - d/dt	e^t-t	$e^{t} - t$
59890	Find the Derivative - d/dt	12e^(-t)sin(t)	$12 e^{- t} \sin (t)$
59891	Find the Derivative - d/dr	2pir	$2 π r$
59892	Find the Derivative - d/dt	t/4	$\frac{t}{4}$
59893	Find Where Increasing/Decreasing Using Derivatives	f(x)=e^(2x)+e^(-x)	$f (x) = e^{2 x} + e^{- x}$
59894	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^4-2x^2	$f (x) = x^{4} - 2 x^{2}$
59895	Find the Critical Points	f(x)=x^3+6x^2-96x	$f (x) = x^{3} + 6 x^{2} - 96 x$
59896	Find the Critical Points	f(x)=x^3-6x^2+9x+2	$f (x) = x^{3} - 6 x^{2} + 9 x + 2$
59897	Solve for z	z^7=(cos(30 degrees )+isin(30 degrees ))^7	$z^{7} = {(\cos (30 °) + i \sin (30 °))}^{7}$
59898	Solve for v	3v = square root of 10v^2-8v+12	$3 v = \sqrt{10 v^{2} - 8 v + 12}$
59899	Find the Inflection Points	y=x/(x^2+16)	$y = \frac{x}{x^{2} + 16}$
59900	Find the Inflection Points	y=x/(x^2+49)	$y = \frac{x}{x^{2} + 49}$