Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
37501	Find the Local Maxima and Minima	f(x)=-19x^4-114x^2	$f (x) = - 19 x^{4} - 114 x^{2}$
37502	Find the Local Maxima and Minima	f(x)=-19600x^-2	$f (x) = - 19600 x^{- 2}$
37503	Find the Local Maxima and Minima	f(x)=-1-x-x^2	$f (x) = - 1 - x - x^{2}$
37504	Find the Local Maxima and Minima	f(x)=1xy	$f (x) = 1 x y$
37505	Find the Derivative - d/dt	((5t-2)^2)/((t^2+1)^3)	$\frac{{(5 t - 2)}^{2}}{{(t^{2} + 1)}^{3}}$
37506	Find the Local Maxima and Minima	f(x)=2(0.99)+2	$f (x) = 2 (0.99) + 2$
37507	Find the Local Maxima and Minima	f(x)=18(x-3)(x-1)^(2/3)	$f (x) = 18 (x - 3) {(x - 1)}^{\frac{2}{3}}$
37508	Find the Local Maxima and Minima	f(x)=18(x-5)(x-1)^(2/3)	$f (x) = 18 (x - 5) {(x - 1)}^{\frac{2}{3}}$
37509	Find the Derivative - d/dx	(3x-1)^2	${(3 x - 1)}^{2}$
37510	Find the Local Maxima and Minima	f(x)=18x^2+36x-54	$f (x) = 18 x^{2} + 36 x - 54$
37511	Find the Local Maxima and Minima	f(x)=15x^2-45x	$f (x) = 15 x^{2} - 45 x$
37512	Find the Local Maxima and Minima	f(x)=-15x^4+15x^2	$f (x) = - 15 x^{4} + 15 x^{2}$
37513	Find the Local Maxima and Minima	f(x)=15x^4-12x^3-3x	$f (x) = 15 x^{4} - 12 x^{3} - 3 x$
37514	Find the Local Maxima and Minima	f(x)=15x^4-20x^3	$f (x) = 15 x^{4} - 20 x^{3}$
37515	Find the Local Maxima and Minima	f(x)=15x^4-4x^3	$f (x) = 15 x^{4} - 4 x^{3}$
37516	Find the Local Maxima and Minima	f(x)=15+3e^(-3x)	$f (x) = 15 + 3 e^{- 3 x}$
37517	Find the Local Maxima and Minima	f(x)=150000x-100x^2	$f (x) = 150000 x - 100 x^{2}$
37518	Find the Local Maxima and Minima	f(x)=153-x/10	$f (x) = 153 - \frac{x}{10}$
37519	Find the Local Maxima and Minima	f(x)=154-x/10	$f (x) = 154 - \frac{x}{10}$
37520	Find the Local Maxima and Minima	f(x)=158-x/10	$f (x) = 158 - \frac{x}{10}$
37521	Find the Local Maxima and Minima	f(x)=1-5x	$f (x) = 1 - 5 x$
37522	Find the Local Maxima and Minima	f(x)=-1-5x-x^2	$f (x) = - 1 - 5 x - x^{2}$
37523	Find the Local Maxima and Minima	f(x)=15x-5x^3	$f (x) = 15 x - 5 x^{3}$
37524	Find the Local Maxima and Minima	f(x)=-16x^2+128x+4	$f (x) = - 16 x^{2} + 128 x + 4$
37525	Find the Local Maxima and Minima	f(x)=-16x^2+192x+4	$f (x) = - 16 x^{2} + 192 x + 4$
37526	Find the Local Maxima and Minima	f(x)=-16x^2+200x+50	$f (x) = - 16 x^{2} + 200 x + 50$
37527	Find the Local Maxima and Minima	f(x)=-16x^2+48x	$f (x) = - 16 x^{2} + 48 x$
37528	Find the Derivative - d/dx	x/(x+c/x)	$\frac{x}{x + \frac{c}{x}}$
37529	Find the Local Maxima and Minima	f(x)=-1600+64x-0.2x^2	$f (x) = - 1600 + 64 x - 0.2 x^{2}$
37530	Find the Local Maxima and Minima	f(x)=16-4x-4/x	$f (x) = 16 - 4 x - \frac{4}{x}$
37531	Find the Local Maxima and Minima	f(x)=168x-54x^2+4x^3	$f (x) = 168 x - 54 x^{2} + 4 x^{3}$
37532	Find the Local Maxima and Minima	f(x)=1-6 natural log of x	$f (x) = 1 - 6 \ln (x)$
37533	Find the Local Maxima and Minima	f(x)=16x+9/x	$f (x) = 16 x + \frac{9}{x}$
37534	Find the Local Maxima and Minima	f(x)=16x-8x^2	$f (x) = 16 x - 8 x^{2}$
37535	Find the Derivative - d/dx	x^(5/3)	$x^{\frac{5}{3}}$
37536	Find the Local Maxima and Minima	f(x)=12x-12	$f (x) = 12 x - 12$
37537	Find the Local Maxima and Minima	f(x)=12x-20 natural log of x	$f (x) = 12 x - 20 \ln (x)$
37538	Find the Local Maxima and Minima	f(x)=12xy-x^3-6y^2	$f (x) = 12 x y - x^{3} - 6 y^{2}$
37539	Find the Local Maxima and Minima	f(x)=13x^2+(12x)/5-3x*5/(2x)	$f (x) = 13 x^{2} + \frac{12 x}{5} - 3 x \cdot \frac{5}{2 x}$
37540	Find the Local Maxima and Minima	f(x)=13x^2-9x+1300	$f (x) = 13 x^{2} - 9 x + 1300$
37541	Find the Local Maxima and Minima	f(x)=13x^3-4x^2	$f (x) = 13 x^{3} - 4 x^{2}$
37542	Find the Local Maxima and Minima	f(x)=-1317+305 natural log of 95	$f (x) = - 1317 + 305 \ln (95)$
37543	Find the Local Maxima and Minima	f(x)=136x^7+576x^7 natural log of 3x	$f (x) = 136 x^{7} + 576 x^{7} \ln (3 x)$
37544	Find the Local Maxima and Minima	f(x)=125x^3-15x+8	$f (x) = 125 x^{3} - 15 x + 8$
37545	Find the Local Maxima and Minima	f(x)=12cos(x)+6cos(2x)	$f (x) = 12 \cos (x) + 6 \cos (2 x)$
37546	Find the Local Maxima and Minima	f(x)=12sin(2x)	$f (x) = 12 \sin (2 x)$
37547	Find the Local Maxima and Minima	f(x)=12x-x^2	$f (x) = 12 x - x^{2}$
37548	Find the Local Maxima and Minima	f(x)=12x-x^3	$f (x) = 12 x - x^{3}$
37549	Find the Local Maxima and Minima	f(x)=14x^6+7x^3+3x^2-2x+9	$f (x) = 14 x^{6} + 7 x^{3} + 3 x^{2} - 2 x + 9$
37550	Find the Local Maxima and Minima	f(x)=144-x^2	$f (x) = 144 - x^{2}$
37551	Find the Local Maxima and Minima	f(x)=147-x/28	$f (x) = 147 - \frac{x}{28}$
37552	Find the Local Maxima and Minima	f(x)=1-4x-x^2	$f (x) = 1 - 4 x - x^{2}$
37553	Find the Local Maxima and Minima	f(x)=15-3/2x^(1/2)	$f (x) = 15 - \frac{3}{2} x^{\frac{1}{2}}$
37554	Find the Local Maxima and Minima	f(x)=15-3/20x^(1/2)	$f (x) = 15 - \frac{3}{20} x^{\frac{1}{2}}$
37555	Find the Local Maxima and Minima	f(x)=10-4x-4/x	$f (x) = 10 - 4 x - \frac{4}{x}$
37556	Find the Local Maxima and Minima	f(x)=10-5x^2	$f (x) = 10 - 5 x^{2}$
37557	Find the Local Maxima and Minima	f(x)=1050x-0.14x^3	$f (x) = 1050 x - 0.14 x^{3}$
37558	Find the Local Maxima and Minima	f(x)=10cos(x)+5cos(2x)	$f (x) = 10 \cos (x) + 5 \cos (2 x)$
37559	Find the Local Maxima and Minima	f(x)=10sin(2x)	$f (x) = 10 \sin (2 x)$
37560	Find the Local Maxima and Minima	f(x)=10sin(x)	$f (x) = 10 \sin (x)$
37561	Find the Local Maxima and Minima	f(x)=10sin(x)cos(x)+1	$f (x) = 10 \sin (x) \cos (x) + 1$
37562	Find the Local Maxima and Minima	f(x)=10x(2- natural log of x)	$f (x) = 10 x (2 - \ln (x))$
37563	Find the Local Maxima and Minima	f(x)=10x+10e^x	$f (x) = 10 x + 10 e^{x}$
37564	Find the Local Maxima and Minima	f(x)=10x+10x^2	$f (x) = 10 x + 10 x^{2}$
37565	Find the Local Maxima and Minima	f(x)=10x+26 square root of 1296+(79-x)^2	$f (x) = 10 x + 26 \sqrt{1296 + {(79 - x)}^{2}}$
37566	Find the Local Maxima and Minima	f(x)=10x-10cos(x)	$f (x) = 10 x - 10 \cos (x)$
37567	Find the Local Maxima and Minima	f(x)=100(x-4/(x^2))	$f (x) = 100 (x - \frac{4}{x^{2}})$
37568	Find the Local Maxima and Minima	f(x)=100-225/(x+5)-x	$f (x) = 100 - \frac{225}{x + 5} - x$
37569	Find the Local Maxima and Minima	f(x)=100-x^2	$f (x) = 100 - x^{2}$
37570	Find the Local Maxima and Minima	f(x)=100-x^2+30x-y^2+40y	$f (x) = 100 - x^{2} + 30 x - y^{2} + 40 y$
37571	Find the Local Maxima and Minima	f(x)=1000+15x^2-x^3	$f (x) = 1000 + 15 x^{2} - x^{3}$
37572	Find the Local Maxima and Minima	f(x)=1000+36x^2-x^3	$f (x) = 1000 + 36 x^{2} - x^{3}$
37573	Find the Local Maxima and Minima	f(x)=100-2x	$f (x) = 100 - 2 x$
37574	Find the Local Maxima and Minima	f(x)=100-49x-7x^2	$f (x) = 100 - 49 x - 7 x^{2}$
37575	Find the Local Maxima and Minima	f(x)=100x-0.2x^2	$f (x) = 100 x - 0.2 x^{2}$
37576	Find the Local Maxima and Minima	f(x)=100x+49/x	$f (x) = 100 x + \frac{49}{x}$
37577	Find the Local Maxima and Minima	f(x)=100x+64y-0.01x^2-0.25y^2	$f (x) = 100 x + 64 y - 0.01 x^{2} - 0.25 y^{2}$
37578	Find the Local Maxima and Minima	f(x)=100x-5x^2-8	$f (x) = 100 x - 5 x^{2} - 8$
37579	Find the Local Maxima and Minima	f(x)=10-2x^2	$f (x) = 10 - 2 x^{2}$
37580	Find the Local Maxima and Minima	f(x)=10-3x-12/x	$f (x) = 10 - 3 x - \frac{12}{x}$
37581	Find the Local Maxima and Minima	f(x)=1+9x^2-6x^3	$f (x) = 1 + 9 x^{2} - 6 x^{3}$
37582	Find the Local Maxima and Minima	f(x)=10*(3/((x+3)^2)-1/(x^2))	$f (x) = 10 \cdot (\frac{3}{{(x + 3)}^{2}} - \frac{1}{x^{2}})$
37583	Find the Local Maxima and Minima	f(x)=10-0.001x	$f (x) = 10 - 0.001 x$
37584	Find the Local Maxima and Minima	f(x)=10(x-1)^2*e^(-x)	$f (x) = 10 {(x - 1)}^{2} \cdot e^{- x}$
37585	Find the Local Maxima and Minima	f(x)=10cos(x)^2*0=x=2pi	$f (x) = 10 \cos^{2} (x) \cdot 0 = x = 2 π$
37586	Find the Local Maxima and Minima	f(x)=10e^(-x^2)	$f (x) = 10 e^{- x^{2}}$
37587	Find the Local Maxima and Minima	f(x)=10-x^2	$f (x) = 10 - x^{2}$
37588	Find the Local Maxima and Minima	f(x)=10x^2+200x+998	$f (x) = 10 x^{2} + 200 x + 998$
37589	Find the Local Maxima and Minima	f(x)=10x^2+9x+6	$f (x) = 10 x^{2} + 9 x + 6$
37590	Find the Local Maxima and Minima	f(x)=10x^3-235x^2-2370x+585000	$f (x) = 10 x^{3} - 235 x^{2} - 2370 x + 585000$
37591	Find the Local Maxima and Minima	f(x)=10x^4-60x^2	$f (x) = 10 x^{4} - 60 x^{2}$
37592	Find the Local Maxima and Minima	f(x)=10x^5-50x	$f (x) = 10 x^{5} - 50 x$
37593	Find the Local Maxima and Minima	f(x)=1+e^x	$f (x) = 1 + e^{x}$
37594	Find the Local Maxima and Minima	f(x)=1+x^(1/3)	$f (x) = 1 + x^{\frac{1}{3}}$
37595	Find the Local Maxima and Minima	f(x)=10x natural log of x	$f (x) = 10 x \ln (x)$
37596	Find the Local Maxima and Minima	f(x)=10xy-x^3-5y^2	$f (x) = 10 x y - x^{3} - 5 y^{2}$
37597	Find the Local Maxima and Minima	f(x)=10x^6-13x^5	$f (x) = 10 x^{6} - 13 x^{5}$
37598	Find the Local Maxima and Minima	f(x)=10x^6-24x^5+15x^4	$f (x) = 10 x^{6} - 24 x^{5} + 15 x^{4}$
37599	Find the Local Maxima and Minima	f(x)=10x^7-10x^9	$f (x) = 10 x^{7} - 10 x^{9}$
37600	Find the Local Maxima and Minima	f(x)=10+2x+64/(x^2)	$f (x) = 10 + 2 x + \frac{64}{x^{2}}$