Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
38001	Find the Local Maxima and Minima	f(x)=x^3-10.5x^2+30x+20	$f (x) = x^{3} - 10.5 x^{2} + 30 x + 20$
38002	Find the Local Maxima and Minima	f(x)=x^3-10x^2+2x	$f (x) = x^{3} - 10 x^{2} + 2 x$
38003	Find the Local Maxima and Minima	f(x)=x^3-12	$f (x) = x^{3} - 12$
38004	Find the Local Maxima and Minima	f(x)=x^3-0.9x+1	$f (x) = x^{3} - 0.9 x + 1$
38005	Find the Local Maxima and Minima	f(x)=x^3+9x^2-15x+1	$f (x) = x^{3} + 9 x^{2} - 15 x + 1$
38006	Find the Local Maxima and Minima	f(x)=-x^3+9x^2-24x+14	$f (x) = - x^{3} + 9 x^{2} - 24 x + 14$
38007	Find the Local Maxima and Minima	f(x)=-x^3+9x^2-24x+2	$f (x) = - x^{3} + 9 x^{2} - 24 x + 2$
38008	Find the Local Maxima and Minima	f(x)=-x^3+3x-8	$f (x) = - x^{3} + 3 x - 8$
38009	Find the Local Maxima and Minima	f(x)=-x^3+4x^2+3x+1	$f (x) = - x^{3} + 4 x^{2} + 3 x + 1$
38010	Find the Local Maxima and Minima	f(x)=-x^3+4x^2+3x+2	$f (x) = - x^{3} + 4 x^{2} + 3 x + 2$
38011	Find the Local Maxima and Minima	f(x)=-x^3+4x^2+3x-3	$f (x) = - x^{3} + 4 x^{2} + 3 x - 3$
38012	Find the Local Maxima and Minima	f(x)=x^3+4x^2-5x	$f (x) = x^{3} + 4 x^{2} - 5 x$
38013	Find the Local Maxima and Minima	f(x)=-x^3+48x+7	$f (x) = - x^{3} + 48 x + 7$
38014	Find the Local Maxima and Minima	f(x)=-x^3+3x+1	$f (x) = - x^{3} + 3 x + 1$
38015	Find the Local Maxima and Minima	f(x)=x^3+5x^2-8x	$f (x) = x^{3} + 5 x^{2} - 8 x$
38016	Find the Local Maxima and Minima	f(x)=-x^3+3x^2+9x-15	$f (x) = - x^{3} + 3 x^{2} + 9 x - 15$
38017	Find the Local Maxima and Minima	f(x)=-x^3+3x^2+9x-8	$f (x) = - x^{3} + 3 x^{2} + 9 x - 8$
38018	Find the Local Maxima and Minima	f(x)=-x^3+27x-51	$f (x) = - x^{3} + 27 x - 51$
38019	Find the Local Maxima and Minima	f(x)=-x^3+27x-61	$f (x) = - x^{3} + 27 x - 61$
38020	Find the Local Maxima and Minima	f(x)=-x^3+27x-62	$f (x) = - x^{3} + 27 x - 62$
38021	Find the Local Maxima and Minima	f(x)=x^3+2x+17	$f (x) = x^{3} + 2 x + 17$
38022	Find the Local Maxima and Minima	f(x)=x^3+2x+tan(x)	$f (x) = x^{3} + 2 x + \tan (x)$
38023	Find the Local Maxima and Minima	f(x)=-x^3+27x-46	$f (x) = - x^{3} + 27 x - 46$
38024	Find the Local Maxima and Minima	f(x)=x^3+3x^2-9x+2	$f (x) = x^{3} + 3 x^{2} - 9 x + 2$
38025	Find the Local Maxima and Minima	f(x)=x^3+3x^2-9x+1	$f (x) = x^{3} + 3 x^{2} - 9 x + 1$
38026	Find the Local Maxima and Minima	f(x)=x^3+33x^2+360x+1300	$f (x) = x^{3} + 33 x^{2} + 360 x + 1300$
38027	Find the Local Maxima and Minima	f(x)=x^3+34x+250	$f (x) = x^{3} + 34 x + 250$
38028	Find the Local Maxima and Minima	f(x)=x^3+36x+128	$f (x) = x^{3} + 36 x + 128$
38029	Find the 3rd Derivative	f(x)=8x^9-3x^6	$f (x) = 8 x^{9} - 3 x^{6}$
38030	Find the Local Maxima and Minima	f(x)=-x^3+30x-1	$f (x) = - x^{3} + 30 x - 1$
38031	Find the Local Maxima and Minima	f(x)=x^3+3x^2-9x-3	$f (x) = x^{3} + 3 x^{2} - 9 x - 3$
38032	Find the Local Maxima and Minima	f(x)=x^3+3x^2-9x-10	$f (x) = x^{3} + 3 x^{2} - 9 x - 10$
38033	Find the Local Maxima and Minima	f(x)=x^3+3x^2+2	$f (x) = x^{3} + 3 x^{2} + 2$
38034	Find the Local Maxima and Minima	f(x)=x^3+2x^2-4x-8	$f (x) = x^{3} + 2 x^{2} - 4 x - 8$
38035	Find the Local Maxima and Minima	f(x)=-x^3+2x^4	$f (x) = - x^{3} + 2 x^{4}$
38036	Evaluate the Integral	integral of (x^3+2x)^5(6x^2+4) with respect to x	$\int {(x^{3} + 2 x)}^{5} (6 x^{2} + 4) d x$
38037	Find the Local Maxima and Minima	f(x)=x^3+2x^2-4x+10	$f (x) = x^{3} + 2 x^{2} - 4 x + 10$
38038	Find the Local Maxima and Minima	f(x)=x^3+2x^2*(4x)+10	$f (x) = x^{3} + 2 x^{2} \cdot (4 x) + 10$
38039	Find the Local Maxima and Minima	f(x)=-x^3+2x^2+15-2	$f (x) = - x^{3} + 2 x^{2} + 15 - 2$
38040	Find the Local Maxima and Minima	f(x)=x^3+2x^2-3	$f (x) = x^{3} + 2 x^{2} - 3$
38041	Find the Local Maxima and Minima	f(x)=x^3+1.5x^2-2.25x	$f (x) = x^{3} + 1.5 x^{2} - 2.25 x$
38042	Find the Local Maxima and Minima	f(x)=x^3+12x^2+45x+4	$f (x) = x^{3} + 12 x^{2} + 45 x + 4$
38043	Find the Local Maxima and Minima	f(x)=x^3+12x^2+45x-1	$f (x) = x^{3} + 12 x^{2} + 45 x - 1$
38044	Find the Local Maxima and Minima	f(x)=x^3+12x^2+45x-2	$f (x) = x^{3} + 12 x^{2} + 45 x - 2$
38045	Find the Local Maxima and Minima	f(x)=x^3+2.29x^2-3.62x+0.82	$f (x) = x^{3} + 2.29 x^{2} - 3.62 x + 0.82$
38046	Find the Local Maxima and Minima	f(x)=x^3+2.55x^2-3.37x+0.81	$f (x) = x^{3} + 2.55 x^{2} - 3.37 x + 0.81$
38047	Find the Local Maxima and Minima	f(x)=x^3+12x^2-27x+12	$f (x) = x^{3} + 12 x^{2} - 27 x + 12$
38048	Find the Local Maxima and Minima	f(x)=-x^3+12x^2-36x-5	$f (x) = - x^{3} + 12 x^{2} - 36 x - 5$
38049	Find the Local Maxima and Minima	f(x)=-x^3+12x-21	$f (x) = - x^{3} + 12 x - 21$
38050	Find the Local Maxima and Minima	f(x)=-x^3+12x-25	$f (x) = - x^{3} + 12 x - 25$
38051	Find the Local Maxima and Minima	f(x)=-x^3+12x-8	$f (x) = - x^{3} + 12 x - 8$
38052	Find the Local Maxima and Minima	f(x)=x^3+15x^2+2	$f (x) = x^{3} + 15 x^{2} + 2$
38053	Find the Local Maxima and Minima	f(x)=-x^3+15x^2+72x-200	$f (x) = - x^{3} + 15 x^{2} + 72 x - 200$
38054	Find the Local Maxima and Minima	f(x)=-x^3+15x^2-48x-6	$f (x) = - x^{3} + 15 x^{2} - 48 x - 6$
38055	Find the Local Maxima and Minima	f(x)=x^3+48/x	$f (x) = x^{3} + \frac{48}{x}$
38056	Find the Local Maxima and Minima	f(x)=x^3+6x^2-15x-2	$f (x) = x^{3} + 6 x^{2} - 15 x - 2$
38057	Find the Local Maxima and Minima	f(x)=x^3+7/2x^2+12x-4	$f (x) = x^{3} + \frac{7}{2} x^{2} + 12 x - 4$
38058	Find the Local Maxima and Minima	f(x)=-x^3+x^2+16x	$f (x) = - x^{3} + x^{2} + 16 x$
38059	Find the Local Maxima and Minima	f(x)=-x^3-y^2+3x-2y	$f (x) = - x^{3} - y^{2} + 3 x - 2 y$
38060	Find the Local Maxima and Minima	f(x)=-x^3+15/2x^2-18x+2	$f (x) = - x^{3} + \frac{15}{2} x^{2} - 18 x + 2$
38061	Evaluate the Integral	integral of 25x^24-10/(x^26) with respect to x	$\int 25 x^{24} - \frac{10}{x^{26}} d x$
38062	Evaluate the Integral	integral of x^2-9x+5 with respect to x	$\int x^{2} - 9 x + 5 d x$
38063	Find the Local Maxima and Minima	f(x)=x^3(x-2)(x-4)(x+5)^4	$f (x) = x^{3} (x - 2) (x - 4) {(x + 5)}^{4}$
38064	Find the Local Maxima and Minima	f(x)=x^3(x-2)^2(x+5)	$f (x) = x^{3} {(x - 2)}^{2} (x + 5)$
38065	Find the Average Value of the Function	f(x)=1/((x-6)^2) , [0,5]	$f (x) = \frac{1}{{(x - 6)}^{2}}$ , $[0, 5]$
38066	Find the Average Value of the Function	f(x)=1/( square root of 1+x) , [0,3]	$f (x) = \frac{1}{\sqrt{1 + x}}$ , $[0, 3]$
38067	Find the Average Value of the Function	f(x)=1/x , [1,2]	$f (x) = \frac{1}{x}$ , $[1, 2]$
38068	Find the Average Value of the Function	f(x)=1/x , [3,9]	$f (x) = \frac{1}{x}$ , $[3, 9]$
38069	Find the Average Value of the Function	f(x)=1/x , [4,6]	$f (x) = \frac{1}{x}$ , $[4, 6]$
38070	Find the Average Value of the Function	f(x)=1/x , [2,7]	$f (x) = \frac{1}{x}$ , $[2, 7]$
38071	Find the Average Value of the Function	f(x)=1/(x-1) , [2,4]	$f (x) = \frac{1}{x - 1}$ , $[2, 4]$
38072	Find the Average Value of the Function	f(x)=10/(x+1) , [0,9]	$f (x) = \frac{10}{x + 1}$ , $[0, 9]$
38073	Find the Average Value of the Function	f(x)=(15x)/(x^2+1) , [-2,2]	$f (x) = \frac{15 x}{x^{2} + 1}$ , $[- 2, 2]$
38074	Find the Average Value of the Function	f(x)=1x^3-1x^2+4 , [-2,0]	$f (x) = 1 x^{3} - 1 x^{2} + 4$ , $[- 2, 0]$
38075	Find the Average Value of the Function	f(x)=2x^2-4x+5 , [-1,11]	$f (x) = 2 x^{2} - 4 x + 5$ , $[- 1, 11]$
38076	Find the Average Value of the Function	f(x)=2x^3+12x^2-7 , (0,4)	$f (x) = 2 x^{3} + 12 x^{2} - 7$ , $(0, 4)$
38077	Find the Average Value of the Function	f(x)=(4(x^2+1))/(x^2) , [1,3]	$f (x) = \frac{4 (x^{2} + 1)}{x^{2}}$ , $[1, 3]$
38078	Find the Average Value of the Function	f(x)=(4(x+1))/(x^2) , [2,4]	$f (x) = \frac{4 (x + 1)}{x^{2}}$ , $[2, 4]$
38079	Find the Average Value of the Function	f(x)=4/(x^2+9) , [-3,3]	$f (x) = \frac{4}{x^{2} + 9}$ , $[- 3, 3]$
38080	Find the Average Value of the Function	f(x)=7/x , [2,7]	$f (x) = \frac{7}{x}$ , $[2, 7]$
38081	Find the Average Value of the Function	f(x)=8/(x^2) , [2,4]	$f (x) = \frac{8}{x^{2}}$ , $[2, 4]$
38082	Find the Average Value of the Function	f(x)=a^x , (2,64)	$f (x) = a^{x}$ , $(2, 64)$
38083	Find the Average Value of the Function	f(x)=(arctan(x))/x , x[1,8,f(x),(x)]	$f (x) = \frac{\arctan (x)}{x}$ , $x [1, 8, f (x), (x)]$
38084	Find the Average Value of the Function	f(x)=e^(2x)-e^(-x) , 0=x = natural log of 3	$f (x) = e^{2 x} - e^{- x}$ , $0 = x = \ln (3)$
38085	Find the Average Value of the Function	f(x)=e^x , [0,5]	$f (x) = e^{x}$ , $[0, 5]$
38086	Find the Average Value of the Function	f(x)=-t^2+2t+31 , [0,10]	$f (x) = - t^{2} + 2 t + 31$ , $[0, 10]$
38087	Find the Average Value of the Function	f(x) = square root of 4-x^2 , (-2,1)	$f (x) = \sqrt{4 - x^{2}}$ , $(- 2, 1)$
38088	Find the Average Value of the Function	f(x) = square root of x , (0,9)	$f (x) = \sqrt{x}$ , $(0, 9)$
38089	Find the Average Value of the Function	f(x) = square root of x , (1,1)	$f (x) = \sqrt{x}$ , $(1, 1)$
38090	Find the Average Value of the Function	f(x)=(2x-1)(x+4) , (1,5)	$f (x) = (2 x - 1) (x + 4)$ , $(1, 5)$
38091	Find the Average Value of the Function	f(x)=0.1x^2+1.5x+5.5 , [0,5]	$f (x) = 0.1 x^{2} + 1.5 x + 5.5$ , $[0, 5]$
38092	Find the Average Value of the Function	f(x)=(9x^2+1)^2 , (-1,1)	$f (x) = {(9 x^{2} + 1)}^{2}$ , $(- 1, 1)$
38093	Find the Average Value of the Function	f(x)=(x-2)^2 , [1,4]	$f (x) = {(x - 2)}^{2}$ , $[1, 4]$
38094	Find the Average Value of the Function	f(x)=(x^2)/2+2x+2 , [-4,0]	$f (x) = \frac{x^{2}}{2} + 2 x + 2$ , $[- 4, 0]$
38095	Find the Local Maxima and Minima	y=x-x^2+2	$y = x - x^{2} + 2$
38096	Find the Local Maxima and Minima	y=x+16/(x^2+4)	$y = x + \frac{16}{x^{2} + 4}$
38097	Find the Local Maxima and Minima	y=x+25/x	$y = x + \frac{25}{x}$
38098	Find the Local Maxima and Minima	y=x+250/(x^2+25)	$y = x + \frac{250}{x^{2} + 25}$
38099	Find the Local Maxima and Minima	y=x+e^(-5x)	$y = x + e^{- 5 x}$
38100	Find the Local Maxima and Minima	y=x+2cos(x)	$y = x + 2 \cos (x)$