Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
36901	Find the Local Maxima and Minima	f(x)=3x- natural log of x	$f (x) = 3 x - \ln (x)$
36902	Find the Local Maxima and Minima	f(x)=4(x/(x+5))^2	$f (x) = 4 {(\frac{x}{x + 5})}^{2}$
36903	Find the Local Maxima and Minima	f(x)=-4.01x^2+9x-8	$f (x) = - 4.01 x^{2} + 9 x - 8$
36904	Find the Local Maxima and Minima	f(x)=4.1sin(x)-1.6cos(x)	$f (x) = 4.1 \sin (x) - 1.6 \cos (x)$
36905	Find the Local Maxima and Minima	f(x)=4(4x^2-36)^2+3	$f (x) = 4 {(4 x^{2} - 36)}^{2} + 3$
36906	Find the Local Maxima and Minima	f(x)=4-(7+3x)^(2/3)	$f (x) = 4 - {(7 + 3 x)}^{\frac{2}{3}}$
36907	Find the Local Maxima and Minima	f(x)=3x+ natural log of x	$f (x) = 3 x + \ln (x)$
36908	Find the Local Maxima and Minima	f(x)=-4arccot(x)	$f (x) = - 4 arccot (x)$
36909	Find the Local Maxima and Minima	f(x)=3x-4	$f (x) = 3 x - 4$
36910	Find the Local Maxima and Minima	f(x)=3x-54	$f (x) = 3 x - 54$
36911	Find the Local Maxima and Minima	f(x)=3x-6cos(x)	$f (x) = 3 x - 6 \cos (x)$
36912	Find the Local Maxima and Minima	f(x)=3x-7	$f (x) = 3 x - 7$
36913	Find the Local Maxima and Minima	f(x)=4pr^2+1608.496/r	$f (x) = 4 p r^{2} + \frac{1608.496}{r}$
36914	Find the Local Maxima and Minima	f(x)=4px^2+804.248/x	$f (x) = 4 p x^{2} + \frac{804.248}{x}$
36915	Find the Local Maxima and Minima	f(x)=4sin(x)^2	$f (x) = 4 \sin^{2} (x)$
36916	Find the Local Maxima and Minima	f(x)=4 square root of x^3-9	$f (x) = 4 \sqrt{x^{3}} - 9$
36917	Find the Local Maxima and Minima	f(x)=4x^2-7/(x^2)	$f (x) = 4 x^{2} - \frac{7}{x^{2}}$
36918	Find the Local Maxima and Minima	f(x)=4x^2e^x+10xe^x-24e^x	$f (x) = 4 x^{2} e^{x} + 10 x e^{x} - 24 e^{x}$
36919	Find the Local Maxima and Minima	f(x)=4x^2+y^2-8xy+2x+y+2dy	$f (x) = 4 x^{2} + y^{2} - 8 x y + 2 x + y + 2 d y$
36920	Find the Local Maxima and Minima	f(x)=4x^2+16x+19	$f (x) = 4 x^{2} + 16 x + 19$
36921	Find the Local Maxima and Minima	f(x)=-4x^2+16x+9	$f (x) = - 4 x^{2} + 16 x + 9$
36922	Find the Local Maxima and Minima	f(x)=4x^3+3x^2-6x+4	$f (x) = 4 x^{3} + 3 x^{2} - 6 x + 4$
36923	Find the Local Maxima and Minima	f(x)=4x^3+42x^2+144x	$f (x) = 4 x^{3} + 42 x^{2} + 144 x$
36924	Find the Local Maxima and Minima	f(x)=4x^3+6x^2-24x+7	$f (x) = 4 x^{3} + 6 x^{2} - 24 x + 7$
36925	Find the Local Maxima and Minima	f(x)=4x^3+7x+9	$f (x) = 4 x^{3} + 7 x + 9$
36926	Find the Local Maxima and Minima	f(x)=4x^3+9x^2-12x+5	$f (x) = 4 x^{3} + 9 x^{2} - 12 x + 5$
36927	Find the Local Maxima and Minima	f(x)=4x^3+9x^2-54x+3	$f (x) = 4 x^{3} + 9 x^{2} - 54 x + 3$
36928	Find the Local Maxima and Minima	f(x)=4x^3+9x^2-54x+8	$f (x) = 4 x^{3} + 9 x^{2} - 54 x + 8$
36929	Find the Local Maxima and Minima	f(x)=4x^3-12x^2-36x+4	$f (x) = 4 x^{3} - 12 x^{2} - 36 x + 4$
36930	Find the Local Maxima and Minima	f(x)=4x^3-12x^2-36x+9	$f (x) = 4 x^{3} - 12 x^{2} - 36 x + 9$
36931	Find the Local Maxima and Minima	f(x)=4x^3-12x^2-96x+8	$f (x) = 4 x^{3} - 12 x^{2} - 96 x + 8$
36932	Find the Local Maxima and Minima	f(x)=4x^3-120x^2+500x	$f (x) = 4 x^{3} - 120 x^{2} + 500 x$
36933	Find the Local Maxima and Minima	f(x)=4x^3-120x^2+864x	$f (x) = 4 x^{3} - 120 x^{2} + 864 x$
36934	Find the Local Maxima and Minima	f(x)=4x^3+15x^2-150x+4	$f (x) = 4 x^{3} + 15 x^{2} - 150 x + 4$
36935	Find the Local Maxima and Minima	f(x)=4x^3+18x^2-216x+8	$f (x) = 4 x^{3} + 18 x^{2} - 216 x + 8$
36936	Find the Local Maxima and Minima	f(x)=4x^3+18x^2-216x+9	$f (x) = 4 x^{3} + 18 x^{2} - 216 x + 9$
36937	Find the Local Maxima and Minima	f(x)=4x^3+21x^2-294x+4	$f (x) = 4 x^{3} + 21 x^{2} - 294 x + 4$
36938	Find the Local Maxima and Minima	f(x)=-4x^3+252x^2-3200x+17000	$f (x) = - 4 x^{3} + 252 x^{2} - 3200 x + 17000$
36939	Find the Local Maxima and Minima	f(x)=-4x^3-30x^2-48x+48	$f (x) = - 4 x^{3} - 30 x^{2} - 48 x + 48$
36940	Find the Local Maxima and Minima	f(x)=4x^3-36x^2+1	$f (x) = 4 x^{3} - 36 x^{2} + 1$
36941	Find the Local Maxima and Minima	f(x)=4x^3-36x	$f (x) = 4 x^{3} - 36 x$
36942	Find the Local Maxima and Minima	f(x)=-4x^3-42x^2-144x-48	$f (x) = - 4 x^{3} - 42 x^{2} - 144 x - 48$
36943	Find the Local Maxima and Minima	f(x)=4x^3-45x^2+108x+4	$f (x) = 4 x^{3} - 45 x^{2} + 108 x + 4$
36944	Find the Local Maxima and Minima	f(x)=4x^3+12x^2-96x+1	$f (x) = 4 x^{3} + 12 x^{2} - 96 x + 1$
36945	Find the Local Maxima and Minima	f(x)=4x^3+12x^2-96x+6	$f (x) = 4 x^{3} + 12 x^{2} - 96 x + 6$
36946	Find the Local Maxima and Minima	f(x)=4x^3-15x^2-18x+10	$f (x) = 4 x^{3} - 15 x^{2} - 18 x + 10$
36947	Find the Local Maxima and Minima	f(x)=4x^3-15x^2-72x+6	$f (x) = 4 x^{3} - 15 x^{2} - 72 x + 6$
36948	Find the Local Maxima and Minima	f(x)=-4x^3-18x^2+48x-12	$f (x) = - 4 x^{3} - 18 x^{2} + 48 x - 12$
36949	Find the Local Maxima and Minima	f(x)=4x^3-18x^2-48x	$f (x) = 4 x^{3} - 18 x^{2} - 48 x$
36950	Find the Local Maxima and Minima	f(x)=4x^3-180x^2+1800x	$f (x) = 4 x^{3} - 180 x^{2} + 1800 x$
36951	Find the Local Maxima and Minima	f(x)=4x^3-2x^2+3	$f (x) = 4 x^{3} - 2 x^{2} + 3$
36952	Find the Local Maxima and Minima	f(x)=4x^3-21x^2-24x	$f (x) = 4 x^{3} - 21 x^{2} - 24 x$
36953	Find the Local Maxima and Minima	f(x)=-4x^3-24x^2+6	$f (x) = - 4 x^{3} - 24 x^{2} + 6$
36954	Find the Local Maxima and Minima	f(x)=4x^3-24x^2-144x+3	$f (x) = 4 x^{3} - 24 x^{2} - 144 x + 3$
36955	Find the Local Maxima and Minima	f(x)=4x^3-2500x	$f (x) = 4 x^{3} - 2500 x$
36956	Find the Local Maxima and Minima	f(x)=4x^3-28x^2+48x	$f (x) = 4 x^{3} - 28 x^{2} + 48 x$
36957	Find the Local Maxima and Minima	f(x)=4x^3-39x^2-144x+1	$f (x) = 4 x^{3} - 39 x^{2} - 144 x + 1$
36958	Find the Local Maxima and Minima	f(x)=4x^3-3x^2	$f (x) = 4 x^{3} - 3 x^{2}$
36959	Find the Derivative - d/d@VAR	P(t)=(500t)/(3t^2+25)	$P (t) = \frac{500 t}{3 t^{2} + 25}$
36960	Find the Local Maxima and Minima	f(x)=4x^3-3x^2-6x+1	$f (x) = 4 x^{3} - 3 x^{2} - 6 x + 1$
36961	Find the Local Maxima and Minima	f(x)=4x^3-48x-7	$f (x) = 4 x^{3} - 48 x - 7$
36962	Find the Derivative - d/dt	(1+8t)^(5/9)	${(1 + 8 t)}^{\frac{5}{9}}$
36963	Find the Local Maxima and Minima	f(x)=4x^3-6x^2-144x+7	$f (x) = 4 x^{3} - 6 x^{2} - 144 x + 7$
36964	Find the Local Maxima and Minima	f(x)=4x^3-6x^2-225x	$f (x) = 4 x^{3} - 6 x^{2} - 225 x$
36965	Find the Local Maxima and Minima	f(x)=4x^3-6x^2-240x	$f (x) = 4 x^{3} - 6 x^{2} - 240 x$
36966	Find the Derivative - d/dt	t^3-12t^2+45t	$t^{3} - 12 t^{2} + 45 t$
36967	Find the Local Maxima and Minima	f(x)=4x^3-8x^2+4x-2	$f (x) = 4 x^{3} - 8 x^{2} + 4 x - 2$
36968	Find the Local Maxima and Minima	f(x)=4x^3-9x^2-12	$f (x) = 4 x^{3} - 9 x^{2} - 12$
36969	Find the Local Maxima and Minima	f(x)=4x^3-9x^2-12x+6	$f (x) = 4 x^{3} - 9 x^{2} - 12 x + 6$
36970	Find the Local Maxima and Minima	f(x)=4x^3-9x^2-12x+7	$f (x) = 4 x^{3} - 9 x^{2} - 12 x + 7$
36971	Find the Local Maxima and Minima	f(x)=4x^3-9x^2-12x+8	$f (x) = 4 x^{3} - 9 x^{2} - 12 x + 8$
36972	Find the Local Maxima and Minima	f(x)=4x^3-9x^2-30x+6	$f (x) = 4 x^{3} - 9 x^{2} - 30 x + 6$
36973	Find the Local Maxima and Minima	f(x)=4x^3-45x^2-48x+2	$f (x) = 4 x^{3} - 45 x^{2} - 48 x + 2$
36974	Find the Local Maxima and Minima	f(x)=4x^2+7x-9	$f (x) = 4 x^{2} + 7 x - 9$
36975	Find the Derivative - d/dp	p(1+r/100)^t	$p {(1 + \frac{r}{100})}^{t}$
36976	Find the Local Maxima and Minima	f(x)=4+15x+6x^2-x^3	$f (x) = 4 + 15 x + 6 x^{2} - x^{3}$
36977	Find the Local Maxima and Minima	f(x)=4x^5-100x^3-5	$f (x) = 4 x^{5} - 100 x^{3} - 5$
36978	Find the Local Maxima and Minima	f(x)=4x^5-20x	$f (x) = 4 x^{5} - 20 x$
36979	Find the Local Maxima and Minima	f(x)=4x^6-12x^5	$f (x) = 4 x^{6} - 12 x^{5}$
36980	Find the Local Maxima and Minima	f(x)=4x^7-6x^(3/2)-x^-4	$f (x) = 4 x^{7} - 6 x^{\frac{3}{2}} - x^{- 4}$
36981	Find the Local Maxima and Minima	f(x)=4xe^(-2x)	$f (x) = 4 x e^{- 2 x}$
36982	Find the Local Maxima and Minima	f(x)=4xe^(-3x)	$f (x) = 4 x e^{- 3 x}$
36983	Find the Local Maxima and Minima	f(x)=4xe^(-5x)	$f (x) = 4 x e^{- 5 x}$
36984	Find the Local Maxima and Minima	f(x)=-4x^4+9x^3+2x^2-7x-2	$f (x) = - 4 x^{4} + 9 x^{3} + 2 x^{2} - 7 x - 2$
36985	Find the Local Maxima and Minima	f(x)=4x^4-12x^3+9x^2	$f (x) = 4 x^{4} - 12 x^{3} + 9 x^{2}$
36986	Find the Local Maxima and Minima	f(x)=4x^4-32x^3+89x^2-95x+23	$f (x) = 4 x^{4} - 32 x^{3} + 89 x^{2} - 95 x + 23$
36987	Find the Local Maxima and Minima	f(x)=4x^4-512x^2+8	$f (x) = 4 x^{4} - 512 x^{2} + 8$
36988	Find the Local Maxima and Minima	f(x)=420A-0.20A^3	$f (x) = 420 A - 0.2 A^{3}$
36989	Find the Local Maxima and Minima	f(x)=43.5-18.4x+8.57x^2-0.996x^3+0.0338x^4	$f (x) = 43.5 - 18.4 x + 8.57 x^{2} - 0.996 x^{3} + 0.0338 x^{4}$
36990	Find the Local Maxima and Minima	f(x)=4-3x-x^2	$f (x) = 4 - 3 x - x^{2}$
36991	Find the Local Maxima and Minima	f(x)=450-x^2	$f (x) = 450 - x^{2}$
36992	Find the Local Maxima and Minima	f(x)=48x^(2/3)-9x^2	$f (x) = 48 x^{\frac{2}{3}} - 9 x^{2}$
36993	Find the Local Maxima and Minima	f(x)=48x^2-288x	$f (x) = 48 x^{2} - 288 x$
36994	Find the Local Maxima and Minima	f(x)=48x-0.01x^2	$f (x) = 48 x - 0.01 x^{2}$
36995	Find the Local Maxima and Minima	f(x)=49x+36/x	$f (x) = 49 x + \frac{36}{x}$
36996	Find the Local Maxima and Minima	f(x)=49x+9/x	$f (x) = 49 x + \frac{9}{x}$
36997	Find the Local Maxima and Minima	f(x)=4cos(2x)	$f (x) = 4 \cos (2 x)$
36998	Find the Local Maxima and Minima	f(x)=4cos(2x-x)	$f (x) = 4 \cos (2 x - x)$
36999	Find the Local Maxima and Minima	f(x)=4cos(2x-pi)	$f (x) = 4 \cos (2 x - π)$
37000	Find the Local Maxima and Minima	f(x)=4cos(2x-pi)+3	$f (x) = 4 \cos (2 x - π) + 3$