Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
47001	Find the Second Derivative	y=e^(rx)	$y = e^{r x}$
47002	Find the Second Derivative	y = natural log of 9+ natural log of x	$y = \ln (9 + \ln (x))$
47003	Find the Second Derivative	v=2t^2+7t+15	$v = 2 t^{2} + 7 t + 15$
47004	Find the Second Derivative	y=7e^x-x^3	$y = 7 e^{x} - x^{3}$
47005	Find the Second Derivative	y^2=9x^2-8x	$y^{2} = 9 x^{2} - 8 x$
47006	Find the Second Derivative	y=8/x	$y = \frac{8}{x}$
47007	Find the Second Derivative	y=e^(3x)sin(x)	$y = e^{3 x} \sin (x)$
47008	Find the Second Derivative	7x^2+y^2=9	$7 x^{2} + y^{2} = 9$
47009	Find the Second Derivative	y=e^(6x)sin(5x)	$y = e^{6 x} \sin (5 x)$
47010	Convert from Radians to Degrees	(11pi)/15	$\frac{11 π}{15}$
47011	Convert from Radians to Degrees	arctan(6/5)	$\arctan (\frac{6}{5})$
47012	Convert from Radians to Degrees	arctan(2/3)	$\tan^{-1} (\frac{2}{3})$
47013	Convert from Radians to Degrees	-(5pi)/8	$- \frac{5 π}{8}$
47014	Find the Antiderivative	f(x)=-2sin(2x+5)	$f (x) = - 2 \sin (2 x + 5)$
47015	Find the Antiderivative	f(x)=sec(x)tan(x)	$f (x) = \sec (x) \tan (x)$
47016	Find the Antiderivative	f(x)=cos(3x)	$f (x) = \cos (3 x)$
47017	Find the Domain	f(x,y) = square root of xy	$f (x, y) = \sqrt{x y}$
47018	Find Where the Mean Value Theorem is Satisfied	f(x)=9x^3 , [1,2]	$f (x) = 9 x^{3}$ , $[1, 2]$
47019	Find Where the Mean Value Theorem is Satisfied	f(x) = square root of x-1/5x , [0,25]	$f (x) = \sqrt{x} - \frac{1}{5} x$ , $[0, 25]$
47020	Find Where the Mean Value Theorem is Satisfied	f(x)=x/(x+2) , [1,4]	$f (x) = \frac{x}{x + 2}$ , $[1, 4]$
47021	Find Where the Mean Value Theorem is Satisfied	f(x)=x^3+x-6 , [0,2]	$f (x) = x^{3} + x - 6$ , $[0, 2]$
47022	Find the Local Maxima and Minima	19x^4-114x^2	$19 x^{4} - 114 x^{2}$
47023	Find the Local Maxima and Minima	3x^4-20x^3+42x^2-36x	$3 x^{4} - 20 x^{3} + 42 x^{2} - 36 x$
47024	Find the Local Maxima and Minima	15x^4-4x^3	$15 x^{4} - 4 x^{3}$
47025	Find the Local Maxima and Minima	2x-256/x	$2 x - \frac{256}{x}$
47026	Find the Local Maxima and Minima	1/4x^4-2x^3+3	$\frac{1}{4} x^{4} - 2 x^{3} + 3$
47027	Find the Local Maxima and Minima	5x^2+4x-6	$5 x^{2} + 4 x - 6$
47028	Find the Local Maxima and Minima	e^x-2x	$e^{x} - 2 x$
47029	Find the Local Maxima and Minima	(x^2+64)/x	$\frac{x^{2} + 64}{x}$
47030	Find the Local Maxima and Minima	x^4-32x+2	$x^{4} - 32 x + 2$
47031	Find the Local Maxima and Minima	7t+3/t	$7 t + \frac{3}{t}$
47032	Find the Local Maxima and Minima	5x^2+4x-2	$5 x^{2} + 4 x - 2$
47033	Find the Local Maxima and Minima	x^2-2x+9	$x^{2} - 2 x + 9$
47034	Find the Local Maxima and Minima	27x^3-9x+1	$27 x^{3} - 9 x + 1$
47035	Find the Local Maxima and Minima	x^3-108x	$x^{3} - 108 x$
47036	Find the Local Maxima and Minima	x-54/x	$x - \frac{54}{x}$
47037	Find the Local Maxima and Minima	x^2+480/x	$x^{2} + \frac{480}{x}$
47038	Find the Local Maxima and Minima	10x^6-13x^5	$10 x^{6} - 13 x^{5}$
47039	Find the Local Maxima and Minima	1/4x^4-2x^3+2	$\frac{1}{4} x^{4} - 2 x^{3} + 2$
47040	Find the Local Maxima and Minima	x square root of 324-x^2	$x \sqrt{324 - x^{2}}$
47041	Find the Local Maxima and Minima	2x-4sin(x)	$2 x - 4 \sin (x)$
47042	Find the Local Maxima and Minima	14cos(x)+7sin(2x)	$14 \cos (x) + 7 \sin (2 x)$
47043	Find the Local Maxima and Minima	-x^3-9x^2-24x+1	$- x^{3} - 9 x^{2} - 24 x + 1$
47044	Find the Local Maxima and Minima	x^8e^x-5	$x^{8} e^{x} - 5$
47045	Find the Local Maxima and Minima	(4x)/(x^2+16)	$\frac{4 x}{x^{2} + 16}$
47046	Find the Local Maxima and Minima	-x^3+9x^2-55	$- x^{3} + 9 x^{2} - 55$
47047	Find the Directrix	x=3y^2	$x = 3 y^{2}$
47048	Find the Inverse	y=5/9(x-32)	$y = \frac{5}{9} (x - 32)$
47049	Find the Maximum/Minimum Value	c=2x+900000/x	$c = 2 x + \frac{900000}{x}$
47050	Find the Maximum/Minimum Value	C=2x+300000/x	$C = 2 x + \frac{300000}{x}$
47051	Find the Maximum/Minimum Value	R=204x^2-0.08x^3	$R = 204 x^{2} - 0.08 x^{3}$
47052	Find the Local Maxima and Minima	y=x^3-12x^2-60x	$y = x^{3} - 12 x^{2} - 60 x$
47053	Find the Local Maxima and Minima	y=x^3+3x^2	$y = x^{3} + 3 x^{2}$
47054	Find the Local Maxima and Minima	y=x^4-2x^3	$y = x^{4} - 2 x^{3}$
47055	Find the Local Maxima and Minima	y=x+sin(x)	$y = x + \sin (x)$
47056	Find the Local Maxima and Minima	y=2x^5+5x^4-16	$y = 2 x^{5} + 5 x^{4} - 16$
47057	Find the Local Maxima and Minima	y=(x^3)/3+(x^2)/2-2x+7	$y = \frac{x^{3}}{3} + \frac{x^{2}}{2} - 2 x + 7$
47058	Find the Local Maxima and Minima	f'(x)=25x^2-9	$f' (x) = 25 x^{2} - 9$
47059	Find the Sum of the First 6 Terms	2 , 5 , 8 , 11 , 14	$2$ , $5$ , $8$ , $11$ , $14$
47060	Find the Inverse	f(x) = square root of 3-e^(2x)	$f (x) = \sqrt{3 - e^{2 x}}$
47061	Find the Inverse	f(x)=(6x-1)/(2x+7)	$f (x) = \frac{6 x - 1}{2 x + 7}$
47062	Find the Inverse	f(x)=e^(9x-8)	$f (x) = e^{9 x - 8}$
47063	Find the Inverse	f(x)=-x/3+1	$f (x) = - \frac{x}{3} + 1$
47064	Find the Inverse	f(x)=-7/8x+7	$f (x) = - \frac{7}{8} x + 7$
47065	Find Where Increasing/Decreasing Using Derivatives	f(x)=5x^4+4x^3	$f (x) = 5 x^{4} + 4 x^{3}$
47066	Find Where Increasing/Decreasing Using Derivatives	f(x)=(x+3)^(2/5)	$f (x) = {(x + 3)}^{\frac{2}{5}}$
47067	Find Where Increasing/Decreasing Using Derivatives	f(x)=6x^5-10x^3	$f (x) = 6 x^{5} - 10 x^{3}$
47068	Find Where Increasing/Decreasing Using Derivatives	f(x)=9x^4+4x^3	$f (x) = 9 x^{4} + 4 x^{3}$
47069	Find Where Increasing/Decreasing Using Derivatives	f(x)=-x^3-3x^2-3x+2	$f (x) = - x^{3} - 3 x^{2} - 3 x + 2$
47070	Find Where Increasing/Decreasing Using Derivatives	g(t)=(8t)/(t^2+1)	$g (t) = \frac{8 t}{t^{2} + 1}$
47071	Find Where Increasing/Decreasing Using Derivatives	f(x)=-12x^5+75x^4-120x^3	$f (x) = - 12 x^{5} + 75 x^{4} - 120 x^{3}$
47072	Find Where Increasing/Decreasing Using Derivatives	f(x)=-2x^3-18x^2-54x-57	$f (x) = - 2 x^{3} - 18 x^{2} - 54 x - 57$
47073	Find Where Increasing/Decreasing Using Derivatives	f(x)=13x+1/x	$f (x) = 13 x + \frac{1}{x}$
47074	Find Where Increasing/Decreasing Using Derivatives	f(x)=(-x^2-25)/x	$f (x) = \frac{- x^{2} - 25}{x}$
47075	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^3-8x^2-12x+7	$f (x) = x^{3} - 8 x^{2} - 12 x + 7$
47076	Find Where Increasing/Decreasing Using Derivatives	f(x)=2x^3-12x^2+24x-18	$f (x) = 2 x^{3} - 12 x^{2} + 24 x - 18$
47077	Evaluate from the Left	limit as x approaches 0.5 of (2x-1)/(\|2x^3-x^2\|)	$lim_{x \to 0.5} \frac{2 x - 1}{\| 2 x^{3} - x^{2} \|}$
47078	Find the Area Under the Curve	f(x)=x^2-x-12 , [1,6]	$f (x) = x^{2} - x - 12$ , $[1, 6]$
47079	Find the Area Under the Curve	f(x)=8+4e^(0.5x) , [-3,3]	$f (x) = 8 + 4 e^{0.5 x}$ , $[- 3, 3]$
47080	Find the Roots (Zeros)	-6x^2+x+12=0	$- 6 x^{2} + x + 12 = 0$
47081	Find the Roots (Zeros)	x^4+x-3=0	$x^{4} + x - 3 = 0$
47082	Find dy/dx at (3,3)	y^2=3x ; (3,3)	$y^{2} = 3 x$ ; $(3, 3)$
47083	Find dy/dx at (81,3)	y^4=x ; (81,3)	$y^{4} = x$ ; $(81, 3)$
47084	Find dy/dx at (1,1)	x^2+xy+y^2=3 , (1,1)	$x^{2} + x y + y^{2} = 3$ , $(1, 1)$
47085	Find dy/dx at (0,p/8)	cos(4y)=x , (0,pi/8)	$\cos (4 y) = x$ , $(0, \frac{π}{8})$
47086	Find dy/dx at (0,p/3)	sin(3y)=x ; (0,pi/3)	$\sin (3 y) = x$ ; $(0, \frac{π}{3})$
47087	Find dy/dx at (1/4,2)	arcsin(xy)=2/3arctan(4x) , (1/4,2)	$\arcsin (x y) = \frac{2}{3} \arctan (4 x)$ , $(\frac{1}{4}, 2)$
47088	Find dx/dy at (1,1)	xy^2=y , (1,1)	$x y^{2} = y$ , $(1, 1)$
47089	Find dx/dy at (0,1)	y=(1+5x)^10 , (0,1)	$y = {(1 + 5 x)}^{10}$ , $(0, 1)$
47090	Find dx/dy at (8,4)	y^2=2x ; (8,4)	$y^{2} = 2 x$ ; $(8, 4)$
47091	Find the Critical Points	y=102t+1/2t^2-t^3	$y = 102 t + \frac{1}{2} t^{2} - t^{3}$
47092	Find the Critical Points	y=x^3-12x^2-60x	$y = x^{3} - 12 x^{2} - 60 x$
47093	Find the Critical Points	y=x natural log of x	$y = x \ln (x)$
47094	Find the Critical Points	y=8-6x^2-x^3	$y = 8 - 6 x^{2} - x^{3}$
47095	Find the Critical Points	y=5+6x-8x^3	$y = 5 + 6 x - 8 x^{3}$
47096	Find the Critical Points	y=(x^3)/3+(x^2)/2-2x+8	$y = \frac{x^{3}}{3} + \frac{x^{2}}{2} - 2 x + 8$
47097	Find the Critical Points	sin(x)^2+cos(x) , 0<x<2pi	$\sin^{2} (x) + \cos (x)$ , $0 < x < 2 π$
47098	Find the Critical Points	C=6x+500000/x	$C = 6 x + \frac{500000}{x}$
47099	Expand the Trigonometric Expression	(1+h)^5	${(1 + h)}^{5}$
47100	Expand the Trigonometric Expression	(6+h)^3	${(6 + h)}^{3}$