Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
36801	Find the Local Maxima and Minima	f(x)=20(x)^4+3x^3	$f (x) = 20 {(x)}^{4} + 3 x^{3}$
36802	Find the Local Maxima and Minima	f(x)=20e^x-e^(2x)	$f (x) = 20 e^{x} - e^{2 x}$
36803	Find the Local Maxima and Minima	f(x)=20x^(1/2)-1/2x^20000	$f (x) = 20 x^{\frac{1}{2}} - \frac{1}{2} x^{20000}$
36804	Find the Local Maxima and Minima	f(x)=20x^2e^(-0.3x)	$f (x) = 20 x^{2} e^{- 0.3 x}$
36805	Find the Local Maxima and Minima	f(x)=20x^3	$f (x) = 20 x^{3}$
36806	Find the Local Maxima and Minima	f(x)=20x^3+30x^2-120x	$f (x) = 20 x^{3} + 30 x^{2} - 120 x$
36807	Find the Local Maxima and Minima	f(x)=2+(8+3x)^(2/3)	$f (x) = 2 + {(8 + 3 x)}^{\frac{2}{3}}$
36808	Find the Local Maxima and Minima	f(x)=2+126x-9x^2	$f (x) = 2 + 126 x - 9 x^{2}$
36809	Find the Local Maxima and Minima	f(x)=2+2e^(-0.3x)	$f (x) = 2 + 2 e^{- 0.3 x}$
36810	Find the Local Maxima and Minima	f(x)=2x^4-32x^3+4	$f (x) = 2 x^{4} - 32 x^{3} + 4$
36811	Find the Local Maxima and Minima	f(x)=2x^4-16x^2	$f (x) = 2 x^{4} - 16 x^{2}$
36812	Find the Local Maxima and Minima	f(x)=-2x^4+3y^4+16y^2-24y^2	$f (x) = - 2 x^{4} + 3 y^{4} + 16 y^{2} - 24 y^{2}$
36813	Find the Local Maxima and Minima	f(x)=2x^3-9x^2-60x+3	$f (x) = 2 x^{3} - 9 x^{2} - 60 x + 3$
36814	Find the Local Maxima and Minima	f(x)=2x^3-9x^3-9x^2+12	$f (x) = 2 x^{3} - 9 x^{3} - 9 x^{2} + 12$
36815	Find the Local Maxima and Minima	f(x)=2x^3-96x+42	$f (x) = 2 x^{3} - 96 x + 42$
36816	Evaluate	18(5)-2	$18 (5) - 2$
36817	Find the Local Maxima and Minima	f(x)=2x^4+16x^3+36x^2	$f (x) = 2 x^{4} + 16 x^{3} + 36 x^{2}$
36818	Find the Derivative - d/dx	(12x-8)^(1/2)	${(12 x - 8)}^{\frac{1}{2}}$
36819	Find the Derivative - d/dt	9-9cos((pit)/3)	$9 - 9 \cos (\frac{π t}{3})$
36820	Find the Derivative - d/dx	-8x	$- 8 x$
36821	Find the Local Maxima and Minima	f(x)=2x^3-9x^2-108x-2	$f (x) = 2 x^{3} - 9 x^{2} - 108 x - 2$
36822	Find the Local Maxima and Minima	f(x)=2x^3-9x^2-168x	$f (x) = 2 x^{3} - 9 x^{2} - 168 x$
36823	Find the Local Maxima and Minima	f(x)=2x^3-42x^2+270x-11	$f (x) = 2 x^{3} - 42 x^{2} + 270 x - 11$
36824	Find the Local Maxima and Minima	f(x)=2x^3-45x^2+300x+3	$f (x) = 2 x^{3} - 45 x^{2} + 300 x + 3$
36825	Find the Local Maxima and Minima	f(x)=2x^3-5x^2+4x+10	$f (x) = 2 x^{3} - 5 x^{2} + 4 x + 10$
36826	Find the Derivative - d/dx	(e^(5x))/(x^20)	$\frac{e^{5 x}}{x^{20}}$
36827	Find the Local Maxima and Minima	f(x)=2x^3-6x^2+14	$f (x) = 2 x^{3} - 6 x^{2} + 14$
36828	Find the Local Maxima and Minima	f(x)=-2x^3-6x^2+144x-10	$f (x) = - 2 x^{3} - 6 x^{2} + 144 x - 10$
36829	Find the Local Maxima and Minima	f(x)=2x^3-6x^2+4	$f (x) = 2 x^{3} - 6 x^{2} + 4$
36830	Find the Local Maxima and Minima	f(x)=2x^3-6x^2-144x+7	$f (x) = 2 x^{3} - 6 x^{2} - 144 x + 7$
36831	Find the Local Maxima and Minima	f(x)=2x^3-6x^2-18x+7	$f (x) = 2 x^{3} - 6 x^{2} - 18 x + 7$
36832	Find the Local Maxima and Minima	f(x)=2x^3-6x^2-48x+52	$f (x) = 2 x^{3} - 6 x^{2} - 48 x + 52$
36833	Find the Local Maxima and Minima	f(x)=-3x+6 natural log of 2x	$f (x) = - 3 x + 6 \ln (2 x)$
36834	Find the Local Maxima and Minima	f(x)=3x+20000/x	$f (x) = 3 x + \frac{20000}{x}$
36835	Find the Local Maxima and Minima	f(x)=-3x+e^x	$f (x) = - 3 x + e^{x}$
36836	Find the Derivative - d/dx	3x^2-2x+1	$3 x^{2} - 2 x + 1$
36837	Find the Local Maxima and Minima	f(x)=-3x-432/x	$f (x) = - 3 x - \frac{432}{x}$
36838	Find the Local Maxima and Minima	f(x)=(3x(615))/(3x)	$f (x) = \frac{3 x (615)}{3 x}$
36839	Find the Local Maxima and Minima	f(x)=3x-e^x+5	$f (x) = 3 x - e^{x} + 5$
36840	Find the Local Maxima and Minima	f(x)=3x square root of 4-x	$f (x) = 3 x \sqrt{4 - x}$
36841	Find the Local Maxima and Minima	f(x)=3x square root of 5-x	$f (x) = 3 x \sqrt{5 - x}$
36842	Find the Local Maxima and Minima	f(x)=-3-x-x^2	$f (x) = - 3 - x - x^{2}$
36843	Find the Derivative - d/dX	square root of 5X+4	$\sqrt{5 X + 4}$
36844	Find the Derivative - d/dx	square root of x-8 cube root of x	$\sqrt{x} - 8 \sqrt[3]{x}$
36845	Find the Local Maxima and Minima	f(x)=36x^-3	$f (x) = 36 x^{- 3}$
36846	Find the Local Maxima and Minima	f(x)=36x^3+84x^2+120x	$f (x) = 36 x^{3} + 84 x^{2} + 120 x$
36847	Find the Local Maxima and Minima	f(x)=36x^3-918x^2+7776x+4	$f (x) = 36 x^{3} - 918 x^{2} + 7776 x + 4$
36848	Find the Local Maxima and Minima	f(x)=36x-0.01x^2	$f (x) = 36 x - 0.01 x^{2}$
36849	Find the Local Maxima and Minima	f(x)=3cos(3/4x)	$f (x) = 3 \cos (\frac{3}{4} x)$
36850	Find the Local Maxima and Minima	f(x)=3cos(2)	$f (x) = 3 \cos (2)$
36851	Find the Local Maxima and Minima	f(x)=3cos(5x)	$f (x) = 3 \cos (5 x)$
36852	Find the Local Maxima and Minima	f(x)=3cos(x)-cos(x)^3	$f (x) = 3 \cos (x) - \cos^{3} (x)$
36853	Find the Local Maxima and Minima	f(x)=3cos(x-pi/3)	$f (x) = 3 \cos (x - \frac{π}{3})$
36854	Find the Local Maxima and Minima	f(x)=3csc(4x)	$f (x) = 3 \csc (4 x)$
36855	Find the Local Maxima and Minima	f(x)=3sin(2x)	$f (x) = 3 \sin (2 x)$
36856	Find the Local Maxima and Minima	f(x)=3sin(4x-pi)-1	$f (x) = 3 \sin (4 x - π) - 1$
36857	Find the Local Maxima and Minima	f(x)=3sin(x)	$f (x) = 3 \sin (x)$
36858	Find the Local Maxima and Minima	f(x)=-3tan(x)	$f (x) = - 3 \tan (x)$
36859	Find the Local Maxima and Minima	f(x)=3x(1-2x)^2+2x^3	$f (x) = 3 x {(1 - 2 x)}^{2} + 2 x^{3}$
36860	Find the Local Maxima and Minima	f(x)=-3+ log base 1/3 of x	$f (x) = - 3 + \log_{\frac{1}{3}} (x)$
36861	Find the Local Maxima and Minima	f(x)=3x^5-80x^3+16	$f (x) = 3 x^{5} - 80 x^{3} + 16$
36862	Find the Local Maxima and Minima	f(x)=3x^5-80x^3+21	$f (x) = 3 x^{5} - 80 x^{3} + 21$
36863	Find the Local Maxima and Minima	f(x)=3x^y-4x^3-12x^2+2	$f (x) = 3 x^{y} - 4 x^{3} - 12 x^{2} + 2$
36864	Find the Local Maxima and Minima	f(x)=3xe^(2x-10)	$f (x) = 3 x e^{2 x - 10}$
36865	Find the Local Maxima and Minima	f(x)=3xe^(3x)-e^(3x)	$f (x) = 3 x e^{3 x} - e^{3 x}$
36866	Find the Local Maxima and Minima	f(x)=3xe^(-4x)	$f (x) = 3 x e^{- 4 x}$
36867	Find the Local Maxima and Minima	f(x)=3xe^(-5x)	$f (x) = 3 x e^{- 5 x}$
36868	Find the Derivative - d/dx	e^(9e^x)	$e^{9 e^{x}}$
36869	Find the Local Maxima and Minima	f(x)=32x^0.25	$f (x) = 32 x^{0.25}$
36870	Find the Local Maxima and Minima	f(x)=3-5x^2	$f (x) = 3 - 5 x^{2}$
36871	Find the Local Maxima and Minima	f(x)=35x^6+210x^5-245x^4	$f (x) = 35 x^{6} + 210 x^{5} - 245 x^{4}$
36872	Find the Local Maxima and Minima	f(x)=35x-2e^x	$f (x) = 35 x - 2 e^{x}$
36873	Find the Local Maxima and Minima	f(x)=30x^(2/3)-2x	$f (x) = 30 x^{\frac{2}{3}} - 2 x$
36874	Find the Local Maxima and Minima	f(x)=30x^2+6120/x	$f (x) = 30 x^{2} + \frac{6120}{x}$
36875	Find the Local Maxima and Minima	f(x)=30x^2-1800x+2900	$f (x) = 30 x^{2} - 1800 x + 2900$
36876	Find the Local Maxima and Minima	f(x)=30+12x^2-x^3	$f (x) = 30 + 12 x^{2} - x^{3}$
36877	Find the Local Maxima and Minima	f(x)=300x^2-3600x^3	$f (x) = 300 x^{2} - 3600 x^{3}$
36878	Find the Local Maxima and Minima	f(x)=3000+20x	$f (x) = 3000 + 20 x$
36879	Find the Local Maxima and Minima	f(x)=300x-3/2x^2	$f (x) = 300 x - \frac{3}{2} x^{2}$
36880	Find the Local Maxima and Minima	f(x)=300x-0.01x^2	$f (x) = 300 x - 0.01 x^{2}$
36881	Find the Local Maxima and Minima	f(x)=4x^2*(24x)	$f (x) = 4 x^{2} \cdot (24 x)$
36882	Find the Local Maxima and Minima	f(x)=4x^2-24x+31	$f (x) = 4 x^{2} - 24 x + 31$
36883	Find the Local Maxima and Minima	f(x)=4x^2-24x+8	$f (x) = 4 x^{2} - 24 x + 8$
36884	Find the Local Maxima and Minima	f(x)=4x^2-2x+1	$f (x) = 4 x^{2} - 2 x + 1$
36885	Find the Local Maxima and Minima	f(x)=-4x^2-32x-62	$f (x) = - 4 x^{2} - 32 x - 62$
36886	Find the Local Maxima and Minima	f(x)=4x^2-40x+20	$f (x) = 4 x^{2} - 40 x + 20$
36887	Find the Local Maxima and Minima	f(x)=4x^2-5x+5	$f (x) = 4 x^{2} - 5 x + 5$
36888	Find the Local Maxima and Minima	f(x)=4x^2-80x+390	$f (x) = 4 x^{2} - 80 x + 390$
36889	Find the Local Maxima and Minima	f(x)=4x^3-19/2x^2+5x	$f (x) = 4 x^{3} - \frac{19}{2} x^{2} + 5 x$
36890	Find the Local Maxima and Minima	f(x)=4x^2+3y^3-12xy+46	$f (x) = 4 x^{2} + 3 y^{3} - 12 x y + 46$
36891	Find the Local Maxima and Minima	f(x)=-4x^2+32x+4	$f (x) = - 4 x^{2} + 32 x + 4$
36892	Find the Local Maxima and Minima	f(x)=4x^2+3x+2	$f (x) = 4 x^{2} + 3 x + 2$
36893	Find the Local Maxima and Minima	f(x)=-4x^(1/4)+( fourth root of 19)/19x	$f (x) = - 4 x^{\frac{1}{4}} + \frac{\sqrt[4]{19}}{19} x$
36894	Find the Local Maxima and Minima	f(x)=4x^(3/11)-x^(4/11)	$f (x) = 4 x^{\frac{3}{11}} - x^{\frac{4}{11}}$
36895	Find the Local Maxima and Minima	f(x)=4x^2+8x-2	$f (x) = 4 x^{2} + 8 x - 2$
36896	Find the Local Maxima and Minima	f(x)=4x^2-11x-5x^-2	$f (x) = 4 x^{2} - 11 x - 5 x^{- 2}$
36897	Find the Local Maxima and Minima	f(x)=4x^2-15x+3	$f (x) = 4 x^{2} - 15 x + 3$
36898	Find the Local Maxima and Minima	f(x)=4x^3+100x+4000	$f (x) = 4 x^{3} + 100 x + 4000$
36899	Find the Local Maxima and Minima	f(x)=4x^3+108x^2-36	$f (x) = 4 x^{3} + 108 x^{2} - 36$
36900	Find the Derivative - d/dx	x^7 natural log of x	$x^{7} \ln (x)$