Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
39901	Find the Local Maxima and Minima	g(t)=4t^2-3t+1	$g (t) = 4 t^{2} - 3 t + 1$
39902	Find the Local Maxima and Minima	g(t)=-4t^2-5t+1	$g (t) = - 4 t^{2} - 5 t + 1$
39903	Find the Local Maxima and Minima	g(t)=-2t^2-3t+5	$g (t) = - 2 t^{2} - 3 t + 5$
39904	Find the Local Maxima and Minima	g(t)=2te^(-2t)	$g (t) = 2 t e^{- 2 t}$
39905	Find the Local Maxima and Minima	G(t)=500(3t^2+100t+150)	$G (t) = 500 (3 t^{2} + 100 t + 150)$
39906	Find the Local Maxima and Minima	g(t)=t^3-588t+8	$g (t) = t^{3} - 588 t + 8$
39907	Find the Local Maxima and Minima	g(x)=14x^2+21x^2-84x	$g (x) = 14 x^{2} + 21 x^{2} - 84 x$
39908	Find the Local Maxima and Minima	g(x)=x^2-8x	$g (x) = x^{2} - 8 x$
39909	Find the Local Maxima and Minima	g(x)=0.35x^2-0.7x-7	$g (x) = 0.35 x^{2} - 0.7 x - 7$
39910	Find the Local Maxima and Minima	g(x)=1/(115 square root of 2p)*(e^(-1/2)((x-512)/115)^2)	$g (x) = \frac{1}{115 \sqrt{2 p}} \cdot (e^{- \frac{1}{2}} {(\frac{x - 512}{115})}^{2})$
39911	Find the Local Maxima and Minima	g(x)=1/7x^7-x	$g (x) = \frac{1}{7} x^{7} - x$
39912	Find the Local Maxima and Minima	g(x)=(18x)/(x^2+9)	$g (x) = \frac{18 x}{x^{2} + 9}$
39913	Find the Local Maxima and Minima	g(x)=-2^2-16x-31	$g (x) = - 2^{2} - 16 x - 31$
39914	Find the Local Maxima and Minima	g(x)=(20x)/(x^2+4)	$g (x) = \frac{20 x}{x^{2} + 4}$
39915	Find the Local Maxima and Minima	g(x)=(24x)/(x^2+16)	$g (x) = \frac{24 x}{x^{2} + 16}$
39916	Find the Local Maxima and Minima	g(x)=e^x-x	$g (x) = e^{x} - x$
39917	Find the Local Maxima and Minima	g(x)=- square root of x^2+2x+10	$g (x) = - \sqrt{x^{2} + 2 x + 10}$
39918	Find the Local Maxima and Minima	g(x)=- square root of x^2+2x+17	$g (x) = - \sqrt{x^{2} + 2 x + 17}$
39919	Find the Local Maxima and Minima	g(x) = square root of x^2+4x+20	$g (x) = \sqrt{x^{2} + 4 x + 20}$
39920	Find the Local Maxima and Minima	g(x)=- square root of x^2+4x+20	$g (x) = - \sqrt{x^{2} + 4 x + 20}$
39921	Find the Local Maxima and Minima	g(x)=- square root of x^2+4x+29	$g (x) = - \sqrt{x^{2} + 4 x + 29}$
39922	Find the Local Maxima and Minima	g(x) = square root of x^2+4x+8	$g (x) = \sqrt{x^{2} + 4 x + 8}$
39923	Find the Local Maxima and Minima	g(x) = square root of x^2-16x+64	$g (x) = \sqrt{x^{2} - 16 x + 64}$
39924	Find the Local Maxima and Minima	g(x)=- square root of x^2-8x+17	$g (x) = - \sqrt{x^{2} - 8 x + 17}$
39925	Find the Local Maxima and Minima	g(x) = square root of x^2-8x+41	$g (x) = \sqrt{x^{2} - 8 x + 41}$
39926	Find the Local Maxima and Minima	g(x)=(x(85-x))/60	$g (x) = \frac{x (85 - x)}{60}$
39927	Find the Local Maxima and Minima	g(x)=x^2*2/x	$g (x) = x^{2} \cdot \frac{2}{x}$
39928	Find the Local Maxima and Minima	g(x)=x^2+7x+3	$g (x) = x^{2} + 7 x + 3$
39929	Find the Local Maxima and Minima	g(x)=-(50x)/(x^2+25)	$g (x) = - \frac{50 x}{x^{2} + 25}$
39930	Find the Local Maxima and Minima	f(x)=p(x^2+2)	$f (x) = p (x^{2} + 2)$
39931	Find the Local Maxima and Minima	f(x)=sec(2x)	$f (x) = \sec (2 x)$
39932	Find the Local Maxima and Minima	f(x)=sec(x)	$f (x) = \sec (x)$
39933	Find the Local Maxima and Minima	f(x)=sin(pi/2)+cos(pi/2)	$f (x) = \sin (\frac{π}{2}) + \cos (\frac{π}{2})$
39934	Find the Local Maxima and Minima	f(x)=sin(pi/4)+cos(pi/4)	$f (x) = \sin (\frac{π}{4}) + \cos (\frac{π}{4})$
39935	Find the Local Maxima and Minima	f(x)=sin(pi/6)+cos(pi/6)	$f (x) = \sin (\frac{π}{6}) + \cos (\frac{π}{6})$
39936	Find the Local Maxima and Minima	f(x)=sin(x^2)	$f (x) = \sin (x^{2})$
39937	Find the Local Maxima and Minima	f(x)=sin(11x)*0=x=(2pi)/11	$f (x) = \sin (11 x) \cdot 0 = x = \frac{2 π}{11}$
39938	Solve for ?	2sin(theta)+ square root of 3=0	$2 \sin (θ) + \sqrt{3} = 0$
39939	Find the Local Maxima and Minima	f(x) = natural log of 4x	$f (x) = \ln (4 x)$
39940	Find the Local Maxima and Minima	f(x) = natural log of x	$f (x) = \ln (x)$
39941	Find the Local Maxima and Minima	f(x) = natural log of xx^2	$f (x) = \ln (x) x^{2}$
39942	Find the Local Maxima and Minima	f(x) = natural log of x-x^2+e^(x^2+x)	$f (x) = \ln (x) - x^{2} + e^{x^{2} + x}$
39943	Find the Local Maxima and Minima	f(x)=tan(x)	$f (x) = \tan (x)$
39944	Find the Local Maxima and Minima	f(x)=tan(x)-x	$f (x) = \tan (x) - x$
39945	Find the Local Maxima and Minima	f(x)=x- cube root of x	$f (x) = x - \sqrt[3]{x}$
39946	Find the Local Maxima and Minima	f(x)=x+1/x	$f (x) = x + \frac{1}{x}$
39947	Find the Local Maxima and Minima	f(x)=x((480-3x)/2)	$f (x) = x (\frac{480 - 3 x}{2})$
39948	Find the Local Maxima and Minima	f(x)=x(100-x)	$f (x) = x (100 - x)$
39949	Find the Local Maxima and Minima	f(x)=x(14-x)	$f (x) = x (14 - x)$
39950	Find the Local Maxima and Minima	f(x)=sin(2x)+2cos(x)	$f (x) = \sin (2 x) + 2 \cos (x)$
39951	Find the Local Maxima and Minima	f(x)=sin(2x)+2sin(x)	$f (x) = \sin (2 x) + 2 \sin (x)$
39952	Find the Local Maxima and Minima	f(x)=sin(2x)+cos(2x)	$f (x) = \sin (2 x) + \cos (2 x)$
39953	Find the Local Maxima and Minima	f(x)=sin(2x)-x	$f (x) = \sin (2 x) - x$
39954	Find the Local Maxima and Minima	f(x)=sin(2x-x)	$f (x) = \sin (2 x - x)$
39955	Find the Local Maxima and Minima	f(x)=sin(3x)	$f (x) = \sin (3 x)$
39956	Find the Local Maxima and Minima	f(x)=sin(6x)	$f (x) = \sin (6 x)$
39957	Find the Local Maxima and Minima	f(x)=sin(x)*cos(x)^3	$f (x) = \sin (x) \cdot \cos^{3} (x)$
39958	Find the Local Maxima and Minima	f(x)=sin(x)+cos(2x) at (pi,1)	$f (x) = \sin (x) + \cos (2 x)$ at $(π, 1)$
39959	Find the Local Maxima and Minima	f(x)=sin(x)+cos(x) on [0,2pi]	$f (x) = \sin (x) + \cos (x)$ on $[0, 2 π]$
39960	Solve for x	2x-10=0	$2 x - 10 = 0$
39961	Find the Local Maxima and Minima	f(x)=x^4-72x^2+2	$f (x) = x^{4} - 72 x^{2} + 2$
39962	Find the Local Maxima and Minima	f(x)=(x^2)/(3x-2)+5x	$f (x) = \frac{x^{2}}{3 x - 2} + 5 x$
39963	Find the Local Maxima and Minima	f(x)=x( square root of -x+4)^2	$f (x) = x {(\sqrt{- x + 4})}^{2}$
39964	Find the Local Maxima and Minima	f(x)=x(x/2-4)^4	$f (x) = x {(\frac{x}{2} - 4)}^{4}$
39965	Find the Local Maxima and Minima	f(x)=x(x^2-4)^2	$f (x) = x {(x^{2} - 4)}^{2}$
39966	Find the Local Maxima and Minima	f(x)=x(12-2x)^2	$f (x) = x {(12 - 2 x)}^{2}$
39967	Find the Local Maxima and Minima	f(x)=x(18-2x)^2	$f (x) = x {(18 - 2 x)}^{2}$
39968	Find the Local Maxima and Minima	f(x)=x(2x-3)^2	$f (x) = x {(2 x - 3)}^{2}$
39969	Find the Domain	-1/(2(8-x)^(1/2))	$- \frac{1}{2 {(8 - x)}^{\frac{1}{2}}}$
39970	Find the Local Maxima and Minima	f(x)=x(4-x^2)^(1/2)	$f (x) = x {(4 - x^{2})}^{\frac{1}{2}}$
39971	Find the Local Maxima and Minima	f(x)=x(20-2x)(32-2x)	$f (x) = x (20 - 2 x) (32 - 2 x)$
39972	Find the Local Maxima and Minima	f(x)=x(24-x)	$f (x) = x (24 - x)$
39973	Find the Local Maxima and Minima	f(x)=x(25-x)	$f (x) = x (25 - x)$
39974	Find the Domain	9/( square root of t)	$\frac{9}{\sqrt{t}}$
39975	Find the Local Maxima and Minima	f(x)=x(435-7/2x)	$f (x) = x (435 - \frac{7}{2} x)$
39976	Find the Local Maxima and Minima	f(x)=x(9-x^2)	$f (x) = x (9 - x^{2})$
39977	Find the Local Maxima and Minima	f(x)=x(900-2x)	$f (x) = x (900 - 2 x)$
39978	Find the Domain	f(x)=(x-e^(2x^2))/(e-x-e^(2-x^2))	$f (x) = \frac{x - e^{2 x^{2}}}{e - x - e^{2 - x^{2}}}$
39979	Find the Domain	C=(3x)/(100-x)	$C = \frac{3 x}{100 - x}$
39980	Find the Local Maxima and Minima	f(x)=x-128/x	$f (x) = x - \frac{128}{x}$
39981	Find the Local Maxima and Minima	f(x)=x-16/x	$f (x) = x - \frac{16}{x}$
39982	Find the Local Maxima and Minima	f(x)=x(x-82)	$f (x) = x (x - 82)$
39983	Find the Local Maxima and Minima	f(x)=sin(x)-x	$f (x) = \sin (x) - x$
39984	Find the Local Maxima and Minima	f(x)=x square root of x+9	$f (x) = x \sqrt{x + 9}$
39985	Find the Local Maxima and Minima	f(x)=x square root of x-4	$f (x) = x \sqrt{x - 4}$
39986	Simplify	e^( natural log of x+ natural log of 7)	$e^{\ln (x) + \ln (7)}$
39987	Find the Local Maxima and Minima	f(x)=x+169/x	$f (x) = x + \frac{169}{x}$
39988	Simplify	e^( natural log of x+ natural log of 9)	$e^{\ln (x) + \ln (9)}$
39989	Find the Local Maxima and Minima	f(x)=x+2800^-1+1645	$f (x) = x + 2800^{- 1} + 1645$
39990	Find the Local Maxima and Minima	f(x)=x-x^3	$f (x) = x - x^{3}$
39991	Find the Local Maxima and Minima	f(x)=x+(16/x)	$f (x) = x + (\frac{16}{x})$
39992	Find the Local Maxima and Minima	f(x)=x+(5/x)	$f (x) = x + (\frac{5}{x})$
39993	Find the Local Maxima and Minima	f(x)=x+\|2x\|	$f (x) = x + \| 2 x \|$
39994	Find the Derivative - d/dt	square root of 2-3t	$\sqrt{2 - 3 t}$
39995	Find the Derivative - d/dt	cube root of t-3e^t	$\sqrt[3]{t} - 3 e^{t}$
39996	Find the Local Maxima and Minima	f(x)=x+38/x	$f (x) = x + \frac{38}{x}$
39997	Find the Derivative - d/d@VAR	f(x)=7x^5	$f (x) = 7 x^{5}$
39998	Find the Derivative - d/d@VAR	f(x)=4x+3	$f (x) = 4 x + 3$
39999	Find the Local Maxima and Minima	f(x)=x square root of 1-x^2+4	$f (x) = x \sqrt{1 - x^{2}} + 4$
40000	Find the Local Maxima and Minima	f(x)=x square root of 1-x^2-4	$f (x) = x \sqrt{1 - x^{2}} - 4$