Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
37001	Find the Local Maxima and Minima	f(x)=4cos(4x-2)	$f (x) = 4 \cos (4 x - 2)$
37002	Find the Local Maxima and Minima	f(x)=4cos(x)+2sin(x)^2	$f (x) = 4 \cos (x) + 2 \sin^{2} (x)$
37003	Find the Local Maxima and Minima	f(x)=4cos(x)+2sin(2x)	$f (x) = 4 \cos (x) + 2 \sin (2 x)$
37004	Find the Local Maxima and Minima	f(x)=4cos(x)+6x+4x	$f (x) = 4 \cos (x) + 6 x + 4 x$
37005	Find the Local Maxima and Minima	f(x)=4 natural log of x-17arctan(x)	$f (x) = 4 \ln (x) - 17 \arctan (x)$
37006	Find the Local Maxima and Minima	f(x)=4sin(2x)	$f (x) = 4 \sin (2 x)$
37007	Find the Local Maxima and Minima	f(x)=4sin(x)+4cos(x)	$f (x) = 4 \sin (x) + 4 \cos (x)$
37008	Find the Local Maxima and Minima	f(x)=4x^4-8x^3+x^2+3x+2	$f (x) = 4 x^{4} - 8 x^{3} + x^{2} + 3 x + 2$
37009	Find the Derivative - d/d@VAR	f(x) = square root of 9x	$f (x) = \sqrt{9 x}$
37010	Find the Local Maxima and Minima	f(x)=4x square root of x-x^2	$f (x) = 4 x \sqrt{x - x^{2}}$
37011	Find the Local Maxima and Minima	f(x)=4x+(1/x)	$f (x) = 4 x + (\frac{1}{x})$
37012	Find the Local Maxima and Minima	f(x)=4+3x-0.1x^2	$f (x) = 4 + 3 x - 0.1 x^{2}$
37013	Find the Local Maxima and Minima	f(x)=40-(25x^2)/((x+2)^2)	$f (x) = 40 - \frac{25 x^{2}}{{(x + 2)}^{2}}$
37014	Find the Local Maxima and Minima	f(x)=40-(35t^2)/((t+3)^2)	$f (x) = 40 - \frac{35 t^{2}}{{(t + 3)}^{2}}$
37015	Find the Local Maxima and Minima	f(x)=400+120x-x^2	$f (x) = 400 + 120 x - x^{2}$
37016	Find the Local Maxima and Minima	f(x)=400+5x+0.02x^2	$f (x) = 400 + 5 x + 0.02 x^{2}$
37017	Find the Local Maxima and Minima	f(x)=400-0.5x^2	$f (x) = 400 - 0.5 x^{2}$
37018	Find the Local Maxima and Minima	f(x)=40000+100x+x^3	$f (x) = 40000 + 100 x + x^{3}$
37019	Find the Local Maxima and Minima	f(x)=400000000x^-1+100x	$f (x) = 400000000 x^{- 1} + 100 x$
37020	Find the Local Maxima and Minima	f(x)=400x-11x^2-10	$f (x) = 400 x - 11 x^{2} - 10$
37021	Find the Local Maxima and Minima	f(x)=40x+4000x^-1	$f (x) = 40 x + 4000 x^{- 1}$
37022	Find the Local Maxima and Minima	f(x)=4x-16x+4	$f (x) = 4 x - 16 x + 4$
37023	Find the Local Maxima and Minima	f(x)=4x-2x^2+5	$f (x) = 4 x - 2 x^{2} + 5$
37024	Find the Local Maxima and Minima	f(x)=4x-3	$f (x) = 4 x - 3$
37025	Find the Local Maxima and Minima	f(x)=-4x-3x^2	$f (x) = - 4 x - 3 x^{2}$
37026	Find the Local Maxima and Minima	f(x)=4x-4	$f (x) = 4 x - 4$
37027	Find the Local Maxima and Minima	f(x)=4x+8sin(x)	$f (x) = 4 x + 8 \sin (x)$
37028	Find the Local Maxima and Minima	f(x)=4x+8(sin(x))	$f (x) = 4 x + 8 (\sin (x))$
37029	Find the Local Maxima and Minima	f(x)=4x+64/x	$f (x) = 4 x + \frac{64}{x}$
37030	Find the Local Maxima and Minima	f(x)=4x+9/x	$f (x) = 4 x + \frac{9}{x}$
37031	Find the Derivative - d/d@VAR	f(x)=3(5-8x)^5	$f (x) = 3 {(5 - 8 x)}^{5}$
37032	Find the Derivative - d/d@VAR	f(t)=4-3sin(1/2t)	$f (t) = 4 - 3 \sin (\frac{1}{2} t)$
37033	Find the Local Maxima and Minima	f(x)=-4x+100	$f (x) = - 4 x + 100$
37034	Find the Local Maxima and Minima	f(x)=4x+2700/x	$f (x) = 4 x + \frac{2700}{x}$
37035	Find the Derivative - d/d@VAR	f(x)=(x+5)^(2/3)	$f (x) = {(x + 5)}^{\frac{2}{3}}$
37036	Find the Derivative - d/d@VAR	f(x)=25/( fifth root of x)	$f (x) = \frac{25}{\sqrt[5]{x}}$
37037	Find the Derivative - d/d@VAR	f(x)=1/(x-5)	$f (x) = \frac{1}{x - 5}$
37038	Find the Local Maxima and Minima	f(x)=5x^2* natural log of x/2	$f (x) = 5 x^{2} \cdot \ln (\frac{x}{2})$
37039	Find the Local Maxima and Minima	f(x)=5x^2+10000/x	$f (x) = 5 x^{2} + \frac{10000}{x}$
37040	Find the Local Maxima and Minima	f(x)=5x^2+x^3-x^4	$f (x) = 5 x^{2} + x^{3} - x^{4}$
37041	Find the Local Maxima and Minima	f(x)=5x^2+2x-4	$f (x) = 5 x^{2} + 2 x - 4$
37042	Find the Local Maxima and Minima	f(x)=5x^2+3x+6	$f (x) = 5 x^{2} + 3 x + 6$
37043	Find the Local Maxima and Minima	f(x)=5x^2+3x-7	$f (x) = 5 x^{2} + 3 x - 7$
37044	Find the Local Maxima and Minima	f(x)=5x^2+3x-8	$f (x) = 5 x^{2} + 3 x - 8$
37045	Find the Local Maxima and Minima	f(x)=5x^2+40x	$f (x) = 5 x^{2} + 40 x$
37046	Find the Local Maxima and Minima	f(x)=5x^2+4x-1	$f (x) = 5 x^{2} + 4 x - 1$
37047	Find the Local Maxima and Minima	f(x)=-5x^2+4x-15	$f (x) = - 5 x^{2} + 4 x - 15$
37048	Solve for x	2ax+b=0	$2 a x + b = 0$
37049	Find the Local Maxima and Minima	f(x)=72x-42x^2+4x^3	$f (x) = 72 x - 42 x^{2} + 4 x^{3}$
37050	Find the Local Maxima and Minima	f(x)=7-3x^2	$f (x) = 7 - 3 x^{2}$
37051	Find the Local Maxima and Minima	f(x)=7-4x^2	$f (x) = 7 - 4 x^{2}$
37052	Multiply	4/3*(pi(9)^3)	$\frac{4}{3} \cdot (π {(9)}^{3})$
37053	Find the Local Maxima and Minima	f(x)=7-4x	$f (x) = 7 - 4 x$
37054	Find the Local Maxima and Minima	f(x)=7-5x-5x^2	$f (x) = 7 - 5 x - 5 x^{2}$
37055	Find the Local Maxima and Minima	f(x)=7cos(x)	$f (x) = 7 \cos (x)$
37056	Find the Local Maxima and Minima	f(x)=7sin(x)+7cos(x)	$f (x) = 7 \sin (x) + 7 \cos (x)$
37057	Find the Local Maxima and Minima	f(x)=7x-1/9x^2	$f (x) = 7 x - \frac{1}{9} x^{2}$
37058	Find the Local Maxima and Minima	f(x)=7+8/x+8/(x^2)	$f (x) = 7 + \frac{8}{x} + \frac{8}{x^{2}}$
37059	Find the Local Maxima and Minima	f(x)=70x-0.5x^2-(6x+25)	$f (x) = 70 x - 0.5 x^{2} - (6 x + 25)$
37060	Find the Local Maxima and Minima	f(x)=70x-9.8x^2	$f (x) = 70 x - 9.8 x^{2}$
37061	Find the Local Maxima and Minima	f(x)=6x square root of 3-x	$f (x) = 6 x \sqrt{3 - x}$
37062	Find the Local Maxima and Minima	f(x)=6csc(x)	$f (x) = 6 \csc (x)$
37063	Find the Local Maxima and Minima	f(x)=6 natural log of 3(1)e^-1	$f (x) = 6 \ln (3 (1) e^{- 1})$
37064	Find the Local Maxima and Minima	f(x)=6sin(x)	$f (x) = 6 \sin (x)$
37065	Find the Local Maxima and Minima	f(x)=6sin(x)+6cos(x)	$f (x) = 6 \sin (x) + 6 \cos (x)$
37066	Simplify	cube root of 1.1	$\sqrt[3]{1.1}$
37067	Find the Local Maxima and Minima	f(x)=7x^2-5	$f (x) = 7 x^{2} - 5$
37068	Find the Local Maxima and Minima	f(x)=7x^2-84x	$f (x) = 7 x^{2} - 84 x$
37069	Find the Local Maxima and Minima	f(x)=6x+192/(x^2)+1	$f (x) = 6 x + \frac{192}{x^{2}} + 1$
37070	Find the Local Maxima and Minima	f(x)=6x+192/(x^2)+3	$f (x) = 6 x + \frac{192}{x^{2}} + 3$
37071	Find the Local Maxima and Minima	f(x)=6x+197/(x^2)+4	$f (x) = 6 x + \frac{197}{x^{2}} + 4$
37072	Find the Local Maxima and Minima	f(x)=6x+81/(x^2)+1	$f (x) = 6 x + \frac{81}{x^{2}} + 1$
37073	Find the Local Maxima and Minima	f(x)=-6x+e^x	$f (x) = - 6 x + e^{x}$
37074	Find the Local Maxima and Minima	f(x)=8(x-e^x)	$f (x) = 8 (x - e^{x})$
37075	Find the Local Maxima and Minima	f(x)=8.4x^0.75-2.1x+38.75	$f (x) = 8.4 x^{0.75} - 2.1 x + 38.75$
37076	Find the Local Maxima and Minima	f(x)=8.6-2.6cos(pi/153t)	$f (x) = 8.6 - 2.6 \cos (\frac{π}{153} t)$
37077	Find the Local Maxima and Minima	f(x)=8(-5x^2+20)^2+6	$f (x) = 8 {(- 5 x^{2} + 20)}^{2} + 6$
37078	Find the Local Maxima and Minima	f(x)=8-6/x*8/(x^2)	$f (x) = 8 - \frac{6}{x} \cdot \frac{8}{x^{2}}$
37079	Find the Local Maxima and Minima	f(x)=7x square root of 4-x	$f (x) = 7 x \sqrt{4 - x}$
37080	Convert to Interval Notation	2x-1>=0	$2 x - 1 \geq 0$
37081	Find the Local Maxima and Minima	f(x)=6-x-x^2	$f (x) = 6 - x - x^{2}$
37082	Find the Local Maxima and Minima	f(x)=7x^5-6x^4	$f (x) = 7 x^{5} - 6 x^{4}$
37083	Find the Local Maxima and Minima	f(x)=7x^6-11x^5	$f (x) = 7 x^{6} - 11 x^{5}$
37084	Find the Local Maxima and Minima	f(x)=7x^6-3x^5-2x^4+10x^2+5	$f (x) = 7 x^{6} - 3 x^{5} - 2 x^{4} + 10 x^{2} + 5$
37085	Find the Local Maxima and Minima	f(x)=7xe^(-0.7x)	$f (x) = 7 x e^{- 0.7 x}$
37086	Find the Local Maxima and Minima	f(x)=7x^3-9.4x^2+12	$f (x) = 7 x^{3} - 9.4 x^{2} + 12$
37087	Find the Local Maxima and Minima	f(x)=8cos(x)^4	$f (x) = 8 \cos^{4} (x)$
37088	Find the Local Maxima and Minima	f(x)=-8e^(-8x)+5e^(-5x)	$f (x) = - 8 e^{- 8 x} + 5 e^{- 5 x}$
37089	Find the Local Maxima and Minima	f(x)=8e^x-e^(2x)	$f (x) = 8 e^{x} - e^{2 x}$
37090	Find the Local Maxima and Minima	f(x)=8 square root of 3sin(x)-8cos(x)	$f (x) = 8 \sqrt{3} \sin (x) - 8 \cos (x)$
37091	Find the Local Maxima and Minima	f(x)=8 square root of xe^(-x)	$f (x) = 8 \sqrt{x} e^{- x}$
37092	Find the Local Maxima and Minima	f(x)=8x^2	$f (x) = 8 x^{2}$
37093	Find the Local Maxima and Minima	f(x)=8x^2+128/x-2	$f (x) = 8 x^{2} + \frac{128}{x} - 2$
37094	Find the Local Maxima and Minima	f(x)=8x^2+128/x-6	$f (x) = 8 x^{2} + \frac{128}{x} - 6$
37095	Find the Local Maxima and Minima	f(x)=7x-x^2-5	$f (x) = 7 x - x^{2} - 5$
37096	Find the Local Maxima and Minima	f(x)=7x+1/x	$f (x) = 7 x + \frac{1}{x}$
37097	Find the Local Maxima and Minima	f(x)=7x+44	$f (x) = 7 x + 44$
37098	Find the Local Maxima and Minima	f(x)=-8x^2+3200x-80000	$f (x) = - 8 x^{2} + 3200 x - 80000$
37099	Find the Local Maxima and Minima	f(x)=8x^2+3x-1	$f (x) = 8 x^{2} + 3 x - 1$
37100	Find the Local Maxima and Minima	f(x)=8x^2+48x-8	$f (x) = 8 x^{2} + 48 x - 8$