Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
37701	Find the Local Maxima and Minima	f(x)=0.75x+2	$f (x) = 0.75 x + 2$
37702	Find the Local Maxima and Minima	f(x)=0.7x square root of 1-x^2	$f (x) = 0.7 x \sqrt{1 - x^{2}}$
37703	Find the Local Maxima and Minima	f(x)=0.8x+900/x+200	$f (x) = 0.8 x + \frac{900}{x} + 200$
37704	Find the Local Maxima and Minima	f(x)=0x-4x^2	$f (x) = 0 x - 4 x^{2}$
37705	Find the Local Maxima and Minima	f(x)=-1.03x^4-x^3+x^2-2x+5	$f (x) = - 1.03 x^{4} - x^{3} + x^{2} - 2 x + 5$
37706	Find the Local Maxima and Minima	f(x)=1.20(x/2)+18(120/x)	$f (x) = 1.2 (\frac{x}{2}) + 18 (\frac{120}{x})$
37707	Find the Local Maxima and Minima	f(x)=-1.25x^2+190x-5000	$f (x) = - 1.25 x^{2} + 190 x - 5000$
37708	Find the Local Maxima and Minima	f(x)=1.25x^2+190x-5000	$f (x) = 1.25 x^{2} + 190 x - 5000$
37709	Find the Local Maxima and Minima	f(x)=1.40(x/2)+17.50(100/x)	$f (x) = 1.4 (\frac{x}{2}) + 17.5 (\frac{100}{x})$
37710	Find the Local Maxima and Minima	f(x)=1.40(x/2)+19.25(110/x)	$f (x) = 1.4 (\frac{x}{2}) + 19.25 (\frac{110}{x})$
37711	Find the Local Maxima and Minima	f(x)=1.5x^3+9.5x^2+10x	$f (x) = 1.5 x^{3} + 9.5 x^{2} + 10 x$
37712	Find the Local Maxima and Minima	f(x)=-1.5x^3+9.5x^2+10x	$f (x) = - 1.5 x^{3} + 9.5 x^{2} + 10 x$
37713	Find the Local Maxima and Minima	f(x)=1.7x^4-4.3x^2+3.52	$f (x) = 1.7 x^{4} - 4.3 x^{2} + 3.52$
37714	Find the Local Maxima and Minima	f(x)=xe^(x+y)	$f (x) = x e^{x + y}$
37715	Find the Local Maxima and Minima	f(x)=-0.001x^2+3x-1800	$f (x) = - 0.001 x^{2} + 3 x - 1800$
37716	Find the Local Maxima and Minima	f(x)=-0.001x^2+70x-9000	$f (x) = - 0.001 x^{2} + 70 x - 9000$
37717	Find the Local Maxima and Minima	f(x)=0.001x^3+5x+250	$f (x) = 0.001 x^{3} + 5 x + 250$
37718	Find the Local Maxima and Minima	f(x)=-0.002x^2+0.7x+6.9	$f (x) = - 0.002 x^{2} + 0.7 x + 6.9$
37719	Find the Local Maxima and Minima	f(x)=0.002x^3+8x+7086	$f (x) = 0.002 x^{3} + 8 x + 7086$
37720	Find the Local Maxima and Minima	f(x)=0.002x^3+8x+7263	$f (x) = 0.002 x^{3} + 8 x + 7263$
37721	Find the Local Maxima and Minima	f(x)=0.003x^3+8x+11165	$f (x) = 0.003 x^{3} + 8 x + 11165$
37722	Find the Local Maxima and Minima	f(x)=0.003x^3+90x+17.4	$f (x) = 0.003 x^{3} + 90 x + 17.4$
37723	Find the Local Maxima and Minima	f(x)=-0.004x^3+0.03x^2+5x+3.4	$f (x) = - 0.004 x^{3} + 0.03 x^{2} + 5 x + 3.4$
37724	Find the Local Maxima and Minima	f(x)=0.007x^3-0.5x^2+150x	$f (x) = 0.007 x^{3} - 0.5 x^{2} + 150 x$
37725	Find the Local Maxima and Minima	f(x)=0.01q^2-2q+1000	$f (x) = 0.01 q^{2} - 2 q + 1000$
37726	Find the Local Maxima and Minima	f(x)=-0.01x^2+0.08x-20	$f (x) = - 0.01 x^{2} + 0.08 x - 20$
37727	Find the Local Maxima and Minima	f(x)=-0.01x^2+0.52x+10.4	$f (x) = - 0.01 x^{2} + 0.52 x + 10.4$
37728	Find the Local Maxima and Minima	f(x)=0.01x^2-0.6x+9	$f (x) = 0.01 x^{2} - 0.6 x + 9$
37729	Find the Local Maxima and Minima	f(x)=-0.015x^2+1.45x-7.1	$f (x) = - 0.015 x^{2} + 1.45 x - 7.1$
37730	Find the Local Maxima and Minima	f(x)=-0.02x^2+300x-200000	$f (x) = - 0.02 x^{2} + 300 x - 200000$
37731	Find the Local Maxima and Minima	f(x)=-0.025x^2+4x(3)	$f (x) = - 0.025 x^{2} + 4 x (3)$
37732	Find the Local Maxima and Minima	f(x)=0.0265(1)^3-0.457(1)^2+1.813(1)+8.38	$f (x) = 0.0265 {(1)}^{3} - 0.457 {(1)}^{2} + 1.813 (1) + 8.38$
37733	Find the Local Maxima and Minima	f(x)=0.0265t^3-0.453t^2+1.742t+8.53	$f (x) = 0.0265 t^{3} - 0.453 t^{2} + 1.742 t + 8.53$
37734	Find the Local Maxima and Minima	f(x)=0.0275x^3-0.459x^2+1.737x+4.92	$f (x) = 0.0275 x^{3} - 0.459 x^{2} + 1.737 x + 4.92$
37735	Find the Local Maxima and Minima	f(x)=0.0295x^3-0.454^2+1.724t+7.53	$f (x) = 0.0295 x^{3} - {0.454}^{2} + 1.724 t + 7.53$
37736	Find the Local Maxima and Minima	f(x)=0.03x^3+0.5x^2+2x+3	$f (x) = 0.03 x^{3} + 0.5 x^{2} + 2 x + 3$
37737	Find the Local Maxima and Minima	f(x)=0.03x^3-3.0x^2+173x	$f (x) = 0.03 x^{3} - 3 x^{2} + 173 x$
37738	Find the Local Maxima and Minima	f(x)=0.03x^3-4.5x^2+172x	$f (x) = 0.03 x^{3} - 4.5 x^{2} + 172 x$
37739	Find the Local Maxima and Minima	f(x)=0.0305t^3-0.466t^2+1.756t+7.69	$f (x) = 0.0305 t^{3} - 0.466 t^{2} + 1.756 t + 7.69$
37740	Find the Local Maxima and Minima	f(x)=0.04x^2+2.1x+60	$f (x) = 0.04 x^{2} + 2.1 x + 60$
37741	Find the Local Maxima and Minima	f(x)=-0.04x^2+240x	$f (x) = - 0.04 x^{2} + 240 x$
37742	Find the Local Maxima and Minima	f(x)=0.04x^4-3.24x^2+94	$f (x) = 0.04 x^{4} - 3.24 x^{2} + 94$
37743	Find the Local Maxima and Minima	f(x)=0.05x^3-0.675^2-54x+1200	$f (x) = 0.05 x^{3} - {0.675}^{2} - 54 x + 1200$
37744	Find the Local Maxima and Minima	f(x)=0.06x+25+340/x	$f (x) = 0.06 x + 25 + \frac{340}{x}$
37745	Find the Local Maxima and Minima	f(x)=0.084x^3-2.27x^2+17.5x+29	$f (x) = 0.084 x^{3} - 2.27 x^{2} + 17.5 x + 29$
37746	Find the Local Maxima and Minima	f(x)=-0.1t^2+1.1t+98.6	$f (x) = - 0.1 t^{2} + 1.1 t + 98.6$
37747	Find the Local Maxima and Minima	f(x)=-0.1x^2+0.8x+98.7	$f (x) = - 0.1 x^{2} + 0.8 x + 98.7$
37748	Find the Derivative - d/dx	y=(x^4+7)/(x^2)	$y = \frac{x^{4} + 7}{x^{2}}$
37749	Find the Local Maxima and Minima	f(x)=-xe^(-x)+2e^(-x)+1	$f (x) = - x e^{- x} + 2 e^{- x} + 1$
37750	Find the Local Maxima and Minima	f(x)=1+2e^x	$f (x) = 1 + 2 e^{x}$
37751	Find the Local Maxima and Minima	f(x)=1+3x^2-2x^3	$f (x) = 1 + 3 x^{2} - 2 x^{3}$
37752	Find the Local Maxima and Minima	f(x)=1+5/x-6/(x^2)	$f (x) = 1 + \frac{5}{x} - \frac{6}{x^{2}}$
37753	Find the Local Maxima and Minima	f(x)=1+5/x-8/(x^2)	$f (x) = 1 + \frac{5}{x} - \frac{8}{x^{2}}$
37754	Find the Derivative - d/dx	natural log of natural log of 11x	$\ln (\ln (11 x))$
37755	Find the Local Maxima and Minima	f(x)=1-x^2y^2	$f (x) = 1 - x^{2} y^{2}$
37756	Find the Derivative - d/dx	natural log of 4x+1	$\ln (4 x + 1)$
37757	Find the Local Maxima and Minima	f(x)=1-(x+6)^3	$f (x) = 1 - {(x + 6)}^{3}$
37758	Find the Local Maxima and Minima	f(x)=1(x-5)^5+(x-1)(5(x-1)^4(1))	$f (x) = 1 {(x - 5)}^{5} + (x - 1) (5 {(x - 1)}^{4} (1))$
37759	Find the Local Maxima and Minima	f(x)=1-1/(x^2)	$f (x) = 1 - \frac{1}{x^{2}}$
37760	Find the Local Maxima and Minima	f(x)=1-192/x	$f (x) = 1 - \frac{192}{x}$
37761	Find the Local Maxima and Minima	f(x)=1-9/(x^2)	$f (x) = 1 - \frac{9}{x^{2}}$
37762	Find the Local Maxima and Minima	f(x)=-0.1x^2-x+40	$f (x) = - 0.1 x^{2} - x + 40$
37763	Find the Local Maxima and Minima	f(x)=0.1x^3-0.6x^2-0.1x+2	$f (x) = 0.1 x^{3} - 0.6 x^{2} - 0.1 x + 2$
37764	Find the Local Maxima and Minima	f(x)=0.12x^3-3.6x^2+36	$f (x) = 0.12 x^{3} - 3.6 x^{2} + 36$
37765	Find the Local Maxima and Minima	f(x)=0.19+(190x)/(0.9x^2+57.6)	$f (x) = 0.19 + \frac{190 x}{0.9 x^{2} + 57.6}$
37766	Find the Local Maxima and Minima	f(x)=-0.2x^2+1.6x+98.8	$f (x) = - 0.2 x^{2} + 1.6 x + 98.8$
37767	Find the Local Maxima and Minima	f(x)=xe^(-32x^2)	$f (x) = x e^{- 32 x^{2}}$
37768	Find the Local Maxima and Minima	f(x)=xe^(3x)	$f (x) = x e^{3 x}$
37769	Find dy/dx	y/(x^3)+x/(y^3)=x^2y^2	$\frac{y}{x^{3}} + \frac{x}{y^{3}} = x^{2} y^{2}$
37770	Find the Local Maxima and Minima	f(x)=xe^(-4x)	$f (x) = x e^{- 4 x}$
37771	Find dy/dx	xy-1=2x+y^2	$x y - 1 = 2 x + y^{2}$
37772	Find the Local Maxima and Minima	f(x)=xe^(-6x)	$f (x) = x e^{- 6 x}$
37773	Find the Local Maxima and Minima	f(x)=xe^(7x)	$f (x) = x e^{7 x}$
37774	Find the Local Maxima and Minima	f(x)=xe^(kx)	$f (x) = x e^{k x}$
37775	Find dy/dx	7x+3y-2x^2-4xy^2=12	$7 x + 3 y - 2 x^{2} - 4 x y^{2} = 12$
37776	Find the Local Maxima and Minima	f(x)=x^2-3x-18	$f (x) = x^{2} - 3 x - 18$
37777	Find the Local Maxima and Minima	f(x)=x^2-3x+7	$f (x) = x^{2} - 3 x + 7$
37778	Find the Local Maxima and Minima	f(x)=x^2-3x+9	$f (x) = x^{2} - 3 x + 9$
37779	Find the Local Maxima and Minima	f(x)=x^2-4x+13	$f (x) = x^{2} - 4 x + 13$
37780	Find dy/dx	square root of 5+y^2-x^3+5=0	$\sqrt{5 + y^{2}} - x^{3} + 5 = 0$
37781	Find the Local Maxima and Minima	f(x)=x^2-4x+3	$f (x) = x^{2} - 4 x + 3$
37782	Find the Local Maxima and Minima	f(x)=x^2-4x+4	$f (x) = x^{2} - 4 x + 4$
37783	Find the Local Maxima and Minima	f(x)=-x^2-2x-1	$f (x) = - x^{2} - 2 x - 1$
37784	Find the Local Maxima and Minima	f(x)=x^2-2x-2	$f (x) = x^{2} - 2 x - 2$
37785	Find the Local Maxima and Minima	f(x)=x^2-2x-4	$f (x) = x^{2} - 2 x - 4$
37786	Find the Local Maxima and Minima	f(x)=x^2-2x-5	$f (x) = x^{2} - 2 x - 5$
37787	Find the Local Maxima and Minima	f(x)=x^2-2x-9	$f (x) = x^{2} - 2 x - 9$
37788	Find the Local Maxima and Minima	f(x)=x^2-32 square root of x-1	$f (x) = x^{2} - 32 \sqrt{x} - 1$
37789	Find the Local Maxima and Minima	f(x)=x^2-3x+1	$f (x) = x^{2} - 3 x + 1$
37790	Find the Local Maxima and Minima	f(x)=x^2-20x+110+1014/x	$f (x) = x^{2} - 20 x + 110 + \frac{1014}{x}$
37791	Find the Local Maxima and Minima	f(x)=x^2-20x+300	$f (x) = x^{2} - 20 x + 300$
37792	Find the Local Maxima and Minima	f(x)=x^2-12x+39	$f (x) = x^{2} - 12 x + 39$
37793	Find the Local Maxima and Minima	f(x)=x^2-12x+43	$f (x) = x^{2} - 12 x + 43$
37794	Find the Antiderivative	x^(-3/2)	$x^{- \frac{3}{2}}$
37795	Find the Local Maxima and Minima	f(x)=x^2-12x-5	$f (x) = x^{2} - 12 x - 5$
37796	Find the Local Maxima and Minima	f(x)=x^2-14x+2	$f (x) = x^{2} - 14 x + 2$
37797	Find the Local Maxima and Minima	f(x)=x^2-16x+2	$f (x) = x^{2} - 16 x + 2$
37798	Find the Local Maxima and Minima	f(x)=x^2-16x+5	$f (x) = x^{2} - 16 x + 5$
37799	Find the Local Maxima and Minima	f(x)=x^2-16x+69	$f (x) = x^{2} - 16 x + 69$
37800	Find the Local Maxima and Minima	f(x)=x^2-18x+86	$f (x) = x^{2} - 18 x + 86$