Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
40001	Find the Local Maxima and Minima	f(x)=x square root of 10-x^2	$f (x) = x \sqrt{10 - x^{2}}$
40002	Find the Local Maxima and Minima	f(x)=x square root of 100-x^2	$f (x) = x \sqrt{100 - x^{2}}$
40003	Find the Derivative - d/d@VAR	f(x)=5x^(3/2)	$f (x) = 5 x^{\frac{3}{2}}$
40004	Find the Local Maxima and Minima	f(x)=xsec(x)^2+tan(x)	$f (x) = x \sec^{2} (x) + \tan (x)$
40005	Find the Local Maxima and Minima	f(x)=x square root of x^2-4x+8-2 square root of x^2-4x+8	$f (x) = x \sqrt{x^{2} - 4 x + 8} - 2 \sqrt{x^{2} - 4 x + 8}$
40006	Find the Local Maxima and Minima	f(x)=x square root of x^2-9	$f (x) = x \sqrt{x^{2} - 9}$
40007	Find the Derivative - d/d@VAR	g(x) = square root of 2x	$g (x) = \sqrt{2 x}$
40008	Find the Local Maxima and Minima	f(x)=x square root of 28-x^2	$f (x) = x \sqrt{28 - x^{2}}$
40009	Find the Local Maxima and Minima	f(x)=x square root of 2-x	$f (x) = x \sqrt{2 - x}$
40010	Find the Local Maxima and Minima	f(x)=x square root of 32-x^2	$f (x) = x \sqrt{32 - x^{2}}$
40011	Find the Local Maxima and Minima	f(x)=x-250/x	$f (x) = x - \frac{250}{x}$
40012	Find the Local Maxima and Minima	f(x)=x-(64x)/(x+4)	$f (x) = x - \frac{64 x}{x + 4}$
40013	Find the Local Maxima and Minima	f(x)=x-(8x)/(x+2)	$f (x) = x - \frac{8 x}{x + 2}$
40014	Find the Local Maxima and Minima	f(x)=(xd)/(dx)(x+1)+((x+1)d)/(dx)e^(x^6)	$f (x) = \frac{x d}{d x} \cdot (x + 1) + \frac{(x + 1) d}{d x} \cdot e^{x^{6}}$
40015	Find the Derivative - d/d@VAR	P(t)=(600t)/(2t^2+9)	$P (t) = \frac{600 t}{2 t^{2} + 9}$
40016	Find the Local Maxima and Minima	f(x)=x square root of 2+2cos(x)	$f (x) = x \sqrt{2} + 2 \cos (x)$
40017	Find the Local Maxima and Minima	f(x)=x square root of x-x^6	$f (x) = x \sqrt{x - x^{6}}$
40018	Find the Local Maxima and Minima	f(x)=x square root of x-x^2	$f (x) = x \sqrt{x - x^{2}}$
40019	Find the Local Maxima and Minima	f(x)=x square root of 9-x^3	$f (x) = x \sqrt{9 - x^{3}}$
40020	Find the Local Maxima and Minima	f(x)=x square root of 81-x^2	$f (x) = x \sqrt{81 - x^{2}}$
40021	Find the Derivative - d/d@VAR	f(x)=(3x+5)^4	$f (x) = {(3 x + 5)}^{4}$
40022	Find the Derivative - d/d@VAR	f(x)=((cos(x))/(1-sin(x)))^2	$f (x) = {(\frac{\cos (x)}{1 - \sin (x)})}^{2}$
40023	Find the Local Maxima and Minima	f(x)=x square root of 576-x^2	$f (x) = x \sqrt{576 - x^{2}}$
40024	Find the Derivative - d/d@VAR	f(x)=x^4-8x^2+5	$f (x) = x^{4} - 8 x^{2} + 5$
40025	Find the Local Maxima and Minima	f(x)=8x^8(5-x)^7	$f (x) = 8 x^{8} {(5 - x)}^{7}$
40026	Find the Local Maxima and Minima	f(x)=8xe^(-0.6x)	$f (x) = 8 x e^{- 0.6 x}$
40027	Find the Local Maxima and Minima	f(x)=8xe^(-0.8x)	$f (x) = 8 x e^{- 0.8 x}$
40028	Find the Derivative - d/d@VAR	f(x)=pi^2	$f (x) = π^{2}$
40029	Find the Local Maxima and Minima	f(x)=8x^4-16x^2+16	$f (x) = 8 x^{4} - 16 x^{2} + 16$
40030	Find the Local Maxima and Minima	f(x)=9x^2-54x+2	$f (x) = 9 x^{2} - 54 x + 2$
40031	Find the Local Maxima and Minima	f(x)=9x^2-9	$f (x) = 9 x^{2} - 9$
40032	Find the Local Maxima and Minima	f(x)=9x^3-54^2+81x+13	$f (x) = 9 x^{3} - 54^{2} + 81 x + 13$
40033	Find the Local Maxima and Minima	f(x)=-9x^2+36x+405	$f (x) = - 9 x^{2} + 36 x + 405$
40034	Find the Local Maxima and Minima	f(x)=9x^2+36x+c	$f (x) = 9 x^{2} + 36 x + c$
40035	Find the Local Maxima and Minima	f(x)=9x^2+36x-189	$f (x) = 9 x^{2} + 36 x - 189$
40036	Find the Local Maxima and Minima	f(x)=-9x^2+7x+11	$f (x) = - 9 x^{2} + 7 x + 11$
40037	Find the Local Maxima and Minima	f(x)=8x+13x^(8/13)	$f (x) = 8 x + 13 x^{\frac{8}{13}}$
40038	Find the Derivative - d/d@VAR	f(x) = square root of 16-x^2	$f (x) = \sqrt{16 - x^{2}}$
40039	Find the Local Maxima and Minima	f(x)=8x+(13x*8)/13	$f (x) = 8 x + \frac{13 x \cdot 8}{13}$
40040	Find the Local Maxima and Minima	f(x)=8x+7	$f (x) = 8 x + 7$
40041	Find the Local Maxima and Minima	f(x)=8x+8cos(8x)	$f (x) = 8 x + 8 \cos (8 x)$
40042	Find the Local Maxima and Minima	f(x)=9e^x	$f (x) = 9 e^{x}$
40043	Find the Local Maxima and Minima	f(x)=9x^(1/2)e^(-x)	$f (x) = 9 x^{\frac{1}{2}} e^{- x}$
40044	Find the Local Maxima and Minima	f(x)=9x^(7/5)-5x^2+10^4	$f (x) = 9 x^{\frac{7}{5}} - 5 x^{2} + 10^{4}$
40045	Find the Local Maxima and Minima	f(x)=8+3x-x^3	$f (x) = 8 + 3 x - x^{3}$
40046	Find the Local Maxima and Minima	f(x)=80.1x^2-18x+11313	$f (x) = 80.1 x^{2} - 18 x + 11313$
40047	Find the Local Maxima and Minima	f(x)=80+16x	$f (x) = 80 + 16 x$
40048	Find the Local Maxima and Minima	f(x)=8000-x^3+45x^2+600x	$f (x) = 8000 - x^{3} + 45 x^{2} + 600 x$
40049	Find the Local Maxima and Minima	f(x)=8000+70x-x^2	$f (x) = 8000 + 70 x - x^{2}$
40050	Find the Local Maxima and Minima	f(x)=81x+4/x	$f (x) = 81 x + \frac{4}{x}$
40051	Find the Local Maxima and Minima	f(x)=8-2x^2	$f (x) = 8 - 2 x^{2}$
40052	Find the Local Maxima and Minima	f(x)=8-2x-3x^2	$f (x) = 8 - 2 x - 3 x^{2}$
40053	Find the Local Maxima and Minima	f(x)=8-4x^2	$f (x) = 8 - 4 x^{2}$
40054	Find the Local Maxima and Minima	f(x)=8-5x	$f (x) = 8 - 5 x$
40055	Find the Local Maxima and Minima	f(x)=864x-2x^3-1000	$f (x) = 864 x - 2 x^{3} - 1000$
40056	Find the Local Maxima and Minima	f(x)=8cos(3x)+9	$f (x) = 8 \cos (3 x) + 9$
40057	Find the Local Maxima and Minima	f(x)=8cos(x)	$f (x) = 8 \cos (x)$
40058	Find the Local Maxima and Minima	f(x)=8sec(x)+4tan(x)	$f (x) = 8 \sec (x) + 4 \tan (x)$
40059	Find the Local Maxima and Minima	f(x)=8sin(2x)	$f (x) = 8 \sin (2 x)$
40060	Find the Local Maxima and Minima	f(x)=8sin(3x)+8cos(3x)	$f (x) = 8 \sin (3 x) + 8 \cos (3 x)$
40061	Find the Local Maxima and Minima	f(x)=8x^2-144x	$f (x) = 8 x^{2} - 144 x$
40062	Find the Local Maxima and Minima	f(x)=8x^2-2x^4	$f (x) = 8 x^{2} - 2 x^{4}$
40063	Find the Local Maxima and Minima	f(x)=8x^2-2x+7	$f (x) = 8 x^{2} - 2 x + 7$
40064	Find the Local Maxima and Minima	f(x)=8x^2-42x-108	$f (x) = 8 x^{2} - 42 x - 108$
40065	Find the Local Maxima and Minima	f(x)=8x^2-49x+6	$f (x) = 8 x^{2} - 49 x + 6$
40066	Find the Local Maxima and Minima	f(x)=8x^2-5y^2	$f (x) = 8 x^{2} - 5 y^{2}$
40067	Find the Local Maxima and Minima	f(x)=-8x^2-8x+7	$f (x) = - 8 x^{2} - 8 x + 7$
40068	Find the Local Maxima and Minima	f(x)=8x^3-x^4	$f (x) = 8 x^{3} - x^{4}$
40069	Find the Derivative - d/d@VAR	f(x)=x^(5/6)	$f (x) = x^{\frac{5}{6}}$
40070	Find the Derivative - d/d@VAR	f(x)=x^(2/5)	$f (x) = x^{\frac{2}{5}}$
40071	Find the Local Maxima and Minima	F(X)=8X^3+9X^2+6X-2	$F (X) = 8 X^{3} + 9 X^{2} + 6 X - 2$
40072	Find the Local Maxima and Minima	f(x)=8x^3-12x^2-48x	$f (x) = 8 x^{3} - 12 x^{2} - 48 x$
40073	Find the Local Maxima and Minima	f(x)=8x^3-27	$f (x) = 8 x^{3} - 27$
40074	Find the Local Maxima and Minima	f(x)=8x^3-66x^2-72x+4	$f (x) = 8 x^{3} - 66 x^{2} - 72 x + 4$
40075	Find the Derivative - d/d@VAR	f(x)=3^(-x)	$f (x) = 3^{- x}$
40076	Find the Local Maxima and Minima	f(x)=8x^3-6x+5	$f (x) = 8 x^{3} - 6 x + 5$
40077	Find the Local Maxima and Minima	f(x)=7x-14sin(x)	$f (x) = 7 x - 14 \sin (x)$
40078	Find the Local Maxima and Minima	f(x)=7x-2 natural log of x	$f (x) = 7 x - 2 \ln (x)$
40079	Find the Derivative - d/d@VAR	f(x)=(2-5x)/(x+4)	$f (x) = \frac{2 - 5 x}{x + 4}$
40080	Find the Local Maxima and Minima	f(x)=7x-3x natural log of x	$f (x) = 7 x - 3 x \ln (x)$
40081	Find the Local Maxima and Minima	f(x)=9x+6	$f (x) = 9 x + 6$
40082	Find the Local Maxima and Minima	f(x)=9x+sin(9x)	$f (x) = 9 x + \sin (9 x)$
40083	Find the Local Maxima and Minima	f(x)=9x-3x^2-x^3	$f (x) = 9 x - 3 x^{2} - x^{3}$
40084	Find the Local Maxima and Minima	f(x)=900x-0.1x^2	$f (x) = 900 x - 0.1 x^{2}$
40085	Find the Local Maxima and Minima	f(x)=95x^4-4x^3+92x^2-4x-3	$f (x) = 95 x^{4} - 4 x^{3} + 92 x^{2} - 4 x - 3$
40086	Find the Local Maxima and Minima	f(x)=9x^6-13x^5	$f (x) = 9 x^{6} - 13 x^{5}$
40087	Find the Derivative - d/d@VAR	f(x)=5/2x^2	$f (x) = \frac{5}{2} x^{2}$
40088	Find the Local Maxima and Minima	f(x)=9x^4+24x^3	$f (x) = 9 x^{4} + 24 x^{3}$
40089	Find the Local Maxima and Minima	f(x)=9x^4+4x^3-36x^2-24x	$f (x) = 9 x^{4} + 4 x^{3} - 36 x^{2} - 24 x$
40090	Find the Local Maxima and Minima	f(x)=9x^4-162x^2+8	$f (x) = 9 x^{4} - 162 x^{2} + 8$
40091	Find the Local Maxima and Minima	f(x)=cos(x)	$f (x) = \cos (x)$
40092	Find the Local Maxima and Minima	f(x)=cos(x)+2sin(x)	$f (x) = \cos (x) + 2 \sin (x)$
40093	Find the Local Maxima and Minima	f(x)=cos(x)-7x	$f (x) = \cos (x) - 7 x$
40094	Find the Local Maxima and Minima	f(x)=cos(x)-8x	$f (x) = \cos (x) - 8 x$
40095	Find the Local Maxima and Minima	f(x)=cos(x)pi	$f (x) = \cos (x) π$
40096	Find the Local Maxima and Minima	f(x)=cos(x)-sin(x)	$f (x) = \cos (x) - \sin (x)$
40097	Find the Local Maxima and Minima	f(x)=-cot(x)csc(x)	$f (x) = - \cot (x) \csc (x)$
40098	Find the Local Maxima and Minima	f(x)=csc(x)	$f (x) = \csc (x)$
40099	Find the Local Maxima and Minima	f(x)=csc(x)+2cot(x)	$f (x) = \csc (x) + 2 \cot (x)$
40100	Find the Local Maxima and Minima	f(x) = natural log of (3x)^2	$f (x) = \ln ({(3 x)}^{2})$