Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
46001	Find the Absolute Max and Min over the Interval	f(x)=2x^3-x^2-4x+4 ; [-1,0]	$f (x) = 2 x^{3} - x^{2} - 4 x + 4$ ; $[- 1, 0]$
46002	Find the Absolute Max and Min over the Interval	f(x)=x+16/x ; [-6,-1]	$f (x) = x + \frac{16}{x}$ ; $[- 6, - 1]$
46003	Find the Absolute Max and Min over the Interval	f(x)=x^3-2x^2-4x+12 ; [-1,0]	$f (x) = x^{3} - 2 x^{2} - 4 x + 12$ ; $[- 1, 0]$
46004	Find the Absolute Max and Min over the Interval	f(x)=x+16/x , [0.2,16]	$f (x) = x + \frac{16}{x}$ , $[0.2, 16]$
46005	Find the Absolute Max and Min over the Interval	f(x)=x+25/x , [0.2,20]	$f (x) = x + \frac{25}{x}$ , $[0.2, 20]$
46006	Find the Inflection Points	y=(x^2)/(x^2+108)	$y = \frac{x^{2}}{x^{2} + 108}$
46007	Find the Inflection Points	y=(x^2)/(x^2+48)	$y = \frac{x^{2}}{x^{2} + 48}$
46008	Find the Inflection Points	y=(5x)/(x^2-9)	$y = \frac{5 x}{x^{2} - 9}$
46009	Complete the Square	x^2+2x+101	$x^{2} + 2 x + 101$
46010	Complete the Square	x^2+2x+50	$x^{2} + 2 x + 50$
46011	Convert from Radians to Degrees	arctan(5/6)	$\arctan (\frac{5}{6})$
46012	Convert from Radians to Degrees	arctan(-1/3)	$\tan^{-1} (\frac{- 1}{3})$
46013	Convert from Radians to Degrees	arctan(4/2)	$\tan^{-1} (\frac{4}{2})$
46014	Find Where the Mean Value Theorem is Satisfied	f(x) = square root of x , [0,16]	$f (x) = \sqrt{x}$ , $[0, 16]$
46015	Find Where the Mean Value Theorem is Satisfied	f(x)=5 square root of x , [4,9]	$f (x) = 5 \sqrt{x}$ , $[4, 9]$
46016	Find the Domain	x=3000-10p	$x = 3000 - 10 p$
46017	Find the Antiderivative	f(x)=(1-sin(x)^2)/(sin(x)^2)	$f (x) = \frac{(1 - \sin^{2} (x))}{\sin^{2} (x)}$
46018	Find the Antiderivative	g(x)=-8x^-9	$g (x) = - 8 x^{- 9}$
46019	Find the Second Derivative	y=4sin(x)	$y = 4 \sin (x)$
46020	Find the Second Derivative	f''(x)=16x^3-32x^2	$f'' (x) = 16 x^{3} - 32 x^{2}$
46021	Find the Second Derivative	y=5sin(x)cos(x)	$y = 5 \sin (x) \cos (x)$
46022	Find the Second Derivative	y=theta^2(4theta+7)	$y = θ^{2} (4 θ + 7)$
46023	Find the Second Derivative	v=3t^2+7t+11	$v = 3 t^{2} + 7 t + 11$
46024	Find the Second Derivative	x^2y^2-4x=5	$x^{2} y^{2} - 4 x = 5$
46025	Find the Second Derivative	x^3+y^3=56	$x^{3} + y^{3} = 56$
46026	Find the Second Derivative	y=e^(x^5)+11x	$y = e^{x^{5}} + 11 x$
46027	Find the Second Derivative	y=8xcos(x)	$y = 8 x \cos (x)$
46028	Find the Second Derivative	r=1/(4s^3)-8/(5s^4)	$r = \frac{1}{4 s^{3}} - \frac{8}{5 s^{4}}$
46029	Find the Second Derivative	y=e^(9x)cos(x)	$y = e^{9 x} \cos (x)$
46030	Find the Second Derivative	y = square root of 9x+2	$y = \sqrt{9 x + 2}$
46031	Find the Second Derivative	y=sin(3x^2e^x)	$y = \sin (3 x^{2} e^{x})$
46032	Find the Second Derivative	x^2y^2-12x=5	$x^{2} y^{2} - 12 x = 5$
46033	Find the Second Derivative	4x^2-2y^2=9	$4 x^{2} - 2 y^{2} = 9$
46034	Find the Second Derivative	y=4sin(3x)	$y = 4 \sin (3 x)$
46035	Find the Second Derivative	y=e^(2x)sin(x)	$y = e^{2 x} \sin (x)$
46036	Find the Second Derivative	y^2=9e^(x^2)+10x	$y^{2} = 9 e^{x^{2}} + 10 x$
46037	Find the Second Derivative	y^2=7e^(x^2)+12x	$y^{2} = 7 e^{x^{2}} + 12 x$
46038	Find the Second Derivative	y=3x^5-2x	$y = 3 x^{5} - 2 x$
46039	Find the Second Derivative	2 square root of y=x-5y	$2 \sqrt{y} = x - 5 y$
46040	Find the Second Derivative	y=5cos(2x+10)	$y = 5 \cos (2 x + 10)$
46041	Find the Second Derivative	y=(3x+5)^10	$y = {(3 x + 5)}^{10}$
46042	Find the Second Derivative	y=z-7/z	$y = z - \frac{7}{z}$
46043	Find the Second Derivative	x^2y^2-8x=5	$x^{2} y^{2} - 8 x = 5$
46044	Find the Second Derivative	y=-7cos(x)	$y = - 7 \cos (x)$
46045	Find the Second Derivative	y=e^(8x^2)	$y = e^{8 x^{2}}$
46046	Find the Second Derivative	y=-4x^2e^x+5xe^x-10e^x	$y = - 4 x^{2} e^{x} + 5 x e^{x} - 10 e^{x}$
46047	Find the Second Derivative	y=(x^2-25)^(2/3)	$y = {(x^{2} - 25)}^{\frac{2}{3}}$
46048	Find the Second Derivative	2 square root of y=x-y	$2 \sqrt{y} = x - y$
46049	Find the Fourth Derivative	y=4sin(x)	$y = 4 \sin (x)$
46050	Find the Fourth Derivative	y=-7cos(x)	$y = - 7 \cos (x)$
46051	Find the Fourth Derivative	f''(x)=16x^3-32x^2	$f'' (x) = 16 x^{3} - 32 x^{2}$
46052	Convert from Degrees to Radians	0.27 degrees	$0.27 °$
46053	Write in Exponential Form	log base 9 of 3=1/2	$\log_{9} (3) = \frac{1}{2}$
46054	Find the Third Derivative	y^2=3e^(x^2)+8x	$y^{2} = 3 e^{x^{2}} + 8 x$
46055	Find the Third Derivative	f''(x)=16x^3-32x^2	$f'' (x) = 16 x^{3} - 32 x^{2}$
46056	Find the Third Derivative	y=(x^2-25)^(2/3)	$y = {(x^{2} - 25)}^{\frac{2}{3}}$
46057	Find the Third Derivative	y=-2x^3-4x^-3	$y = - 2 x^{3} - 4 x^{- 3}$
46058	Find the Third Derivative	x^2y^2-4x=5	$x^{2} y^{2} - 4 x = 5$
46059	Find the Third Derivative	-3x^2+2xy=3	$- 3 x^{2} + 2 x y = 3$
46060	Find the Local Maxima and Minima	y=1/3x^3-2x^2+3x+5	$y = \frac{1}{3} x^{3} - 2 x^{2} + 3 x + 5$
46061	Find the Local Maxima and Minima	f(x,y)=2x^2+3xy+4y^2-2x+10y	$f (x, y) = 2 x^{2} + 3 x y + 4 y^{2} - 2 x + 10 y$
46062	Find the Local Maxima and Minima	f(x,y)=2x^2+3xy+4y^2+5x-2y	$f (x, y) = 2 x^{2} + 3 x y + 4 y^{2} + 5 x - 2 y$
46063	Find the Local Maxima and Minima	f(x,y)=y^2+xy-2x-2y+2	$f (x, y) = y^{2} + x y - 2 x - 2 y + 2$
46064	Find the Local Maxima and Minima	y=x^3-12x	$y = x^{3} - 12 x$
46065	Find the Local Maxima and Minima	y=( natural log of x)/x	$y = \frac{\ln (x)}{x}$
46066	Find the Maximum/Minimum Value	y=4x^2-16x+13	$y = 4 x^{2} - 16 x + 13$
46067	Find the Maximum/Minimum Value	y=2x^3+3x^2-12x+5	$y = 2 x^{3} + 3 x^{2} - 12 x + 5$
46068	Find the Maximum/Minimum Value	y=x^4-16x^2	$y = x^{4} - 16 x^{2}$
46069	Find the Maximum/Minimum Value	x=-b/(2a)	$x = - \frac{b}{2 a}$
46070	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^3-27x+5	$f (x) = x^{3} - 27 x + 5$
46071	Find Where Increasing/Decreasing Using Derivatives	g(t)=(2t)/(t^2+1)	$g (t) = \frac{2 t}{t^{2} + 1}$
46072	Find Where Increasing/Decreasing Using Derivatives	f(x)=4/3x^3-6x+2	$f (x) = \frac{4}{3} x^{3} - 6 x + 2$
46073	Evaluate from the Left	limit as x approaches 0 from the left of x/(\|x\|)	$lim_{x \to 0} \frac{x}{\| x \|}$
46074	Find the Inverse	f(x)=(8x-1)/(2x+7)	$f (x) = \frac{8 x - 1}{2 x + 7}$
46075	Find the Inverse	f(x) = square root of 4x-5	$f (x) = \sqrt{4 x - 5}$
46076	Evaluate from the Left	limit as x approaches 2pi of xcsc(x)	$lim_{x \to 2 π} x \csc (x)$
46077	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^3-48x+6	$f (x) = x^{3} - 48 x + 6$
46078	Find Where Increasing/Decreasing Using Derivatives	f(x)=(5x)/(x^2+36)	$f (x) = \frac{5 x}{x^{2} + 36}$
46079	Find Where Increasing/Decreasing Using Derivatives	f(x)=x^3-75x+2	$f (x) = x^{3} - 75 x + 2$
46080	Find the Center and Radius	x^2+y^2+4x-6y-1=0	$x^{2} + y^{2} + 4 x - 6 y - 1 = 0$
46081	Find the Local Maxima and Minima	x^3-48x+4	$x^{3} - 48 x + 4$
46082	Find the Local Maxima and Minima	4x^3-3x^2-36x+17	$4 x^{3} - 3 x^{2} - 36 x + 17$
46083	Find the Local Maxima and Minima	x^3-3x^2-9x-4	$x^{3} - 3 x^{2} - 9 x - 4$
46084	Find the Local Maxima and Minima	2x^3+3x^2-12x+6	$2 x^{3} + 3 x^{2} - 12 x + 6$
46085	Find the Local Maxima and Minima	x^3-27x+5	$x^{3} - 27 x + 5$
46086	Find the Local Maxima and Minima	x^2(x-1)(x+2)	$x^{2} (x - 1) (x + 2)$
46087	Find the Local Maxima and Minima	-sin(x)^2+cos(x)^2	$- \sin^{2} (x) + \cos^{2} (x)$
46088	Find the Local Maxima and Minima	2x^3-21x^2+60x	$2 x^{3} - 21 x^{2} + 60 x$
46089	Find the Local Maxima and Minima	x^4-8x^2+1	$x^{4} - 8 x^{2} + 1$
46090	Find the Local Maxima and Minima	5x^2+8x-5	$5 x^{2} + 8 x - 5$
46091	Find the Local Maxima and Minima	x/(x^2-x+25)	$\frac{x}{x^{2} - x + 25}$
46092	Find the Local Maxima and Minima	1-4x^2	$1 - 4 x^{2}$
46093	Find the Local Maxima and Minima	4x^3-48x-8	$4 x^{3} - 48 x - 8$
46094	Find the Local Maxima and Minima	3xe^x+2	$3 x e^{x} + 2$
46095	Find the Local Maxima and Minima	x^3-x^2-x+8	$x^{3} - x^{2} - x + 8$
46096	Find the Local Maxima and Minima	2x^3-15x^2-36x	$2 x^{3} - 15 x^{2} - 36 x$
46097	Find the Local Maxima and Minima	x-250/x	$x - \frac{250}{x}$
46098	Find the Local Maxima and Minima	(x^3)/3-x^2-3x	$\frac{x^{3}}{3} - x^{2} - 3 x$
46099	Convert to a Mixed Number	3.4	$3.4$
46100	Convert to a Mixed Number	5.3	$5.3$