Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
36501	Find the Local Maxima and Minima	f(x)=3(x)^2-84x+530	$f (x) = 3 {(x)}^{2} - 84 x + 530$
36502	Find the Local Maxima and Minima	f(x)=-3(x)^4+20x^3-24x^2	$f (x) = - 3 {(x)}^{4} + 20 x^{3} - 24 x^{2}$
36503	Find the Local Maxima and Minima	f(x)=3(x-1)^4-96(x-1)^3+864(x-1)^2	$f (x) = 3 {(x - 1)}^{4} - 96 {(x - 1)}^{3} + 864 {(x - 1)}^{2}$
36504	Find the Local Maxima and Minima	f(x)=2x natural log of x+10	$f (x) = 2 x \ln (x) + 10$
36505	Find the Local Maxima and Minima	f(x)=2x natural log of x-12x	$f (x) = 2 x \ln (x) - 12 x$
36506	Find the Local Maxima and Minima	f(x)=2x natural log of x-9x	$f (x) = 2 x \ln (x) - 9 x$
36507	Find the Local Maxima and Minima	f(x)=2x-sin(2x)	$f (x) = 2 x - \sin (2 x)$
36508	Find the Local Maxima and Minima	f(x)=2x-tan(x)	$f (x) = 2 x - \tan (x)$
36509	Find the Local Maxima and Minima	f(x)=2xy	$f (x) = 2 x y$
36510	Find the Local Maxima and Minima	f(x)=3cos(x)	$f (x) = 3 \cos (x)$
36511	Find the Local Maxima and Minima	f(x)=3(2)-7	$f (x) = 3 (2) - 7$
36512	Find the Local Maxima and Minima	f(x)=3(x-6)(x+6)^2	$f (x) = 3 (x - 6) {(x + 6)}^{2}$
36513	Find the Local Maxima and Minima	f(x)=-3.75x^2+9x-8	$f (x) = - 3.75 x^{2} + 9 x - 8$
36514	Find the Local Maxima and Minima	f(x)=3/(x^3)-4x^4	$f (x) = \frac{3}{x^{3}} - 4 x^{4}$
36515	Find the Local Maxima and Minima	f(x)=3(x^2-12)^2	$f (x) = 3 {(x^{2} - 12)}^{2}$
36516	Find the Local Maxima and Minima	f(x)=3(x^2-49)^2	$f (x) = 3 {(x^{2} - 49)}^{2}$
36517	Find the Local Maxima and Minima	f(x)=2x+6	$f (x) = 2 x + 6$
36518	Find the Local Maxima and Minima	f(x)=2x-2x^-2	$f (x) = 2 x - 2 x^{- 2}$
36519	Find the Local Maxima and Minima	f(x)=2x+50/x+450	$f (x) = 2 x + \frac{50}{x} + 450$
36520	Find the Local Maxima and Minima	f(x)=2x+64/(x^2)+4	$f (x) = 2 x + \frac{64}{x^{2}} + 4$
36521	Find the Local Maxima and Minima	f(x)=3e^x	$f (x) = 3 e^{x}$
36522	Find the Local Maxima and Minima	f(x)=3sin(x)^2+3sin(x)	$f (x) = 3 \sin^{2} (x) + 3 \sin (x)$
36523	Find the Local Maxima and Minima	f(x)=-3t^2+150t+180	$f (x) = - 3 t^{2} + 150 t + 180$
36524	Find the Local Maxima and Minima	f(x)=-3t^4+8t^3-10	$f (x) = - 3 t^{4} + 8 t^{3} - 10$
36525	Find the Local Maxima and Minima	f(x)=-3- square root of 45+6x+x^2	$f (x) = - 3 - \sqrt{45 + 6 x + x^{2}}$
36526	Find the Local Maxima and Minima	f(x)=3x^(2/3)+8	$f (x) = 3 x^{\frac{2}{3}} + 8$
36527	Find the Local Maxima and Minima	f(x)=-3x^(4/3)+12x-10	$f (x) = - 3 x^{\frac{4}{3}} + 12 x - 10$
36528	Find the Local Maxima and Minima	f(x)=3x^(5/3)-15x^(2/3)	$f (x) = 3 x^{\frac{5}{3}} - 15 x^{\frac{2}{3}}$
36529	Find the Local Maxima and Minima	f(x)=3x^12+4x^3	$f (x) = 3 x^{12} + 4 x^{3}$
36530	Find the Derivative - d/d@VAR	f(x)=(3x^2-6x+6)e^x	$f (x) = (3 x^{2} - 6 x + 6) e^{x}$
36531	Find the Local Maxima and Minima	f(x)=(3(x^4))/10+7/3x^3	$f (x) = \frac{3 (x^{4})}{10} + \frac{7}{3} x^{3}$
36532	Find the Derivative - d/d@VAR	f(x)=1/(x+5)	$f (x) = \frac{1}{x + 5}$
36533	Find the Derivative - d/d@VAR	f(x)=1/4x^16	$f (x) = \frac{1}{4} x^{16}$
36534	Find the Derivative - d/d@VAR	f(x)=(e^(3x))/(x^15)	$f (x) = \frac{e^{3 x}}{x^{15}}$
36535	Find the Local Maxima and Minima	f(x)=3x^2+18x+32	$f (x) = 3 x^{2} + 18 x + 32$
36536	Find the Local Maxima and Minima	f(x)=3x^2+2y^3-24xy+33	$f (x) = 3 x^{2} + 2 y^{3} - 24 x y + 33$
36537	Find the Local Maxima and Minima	f(x)=3x^2+2y^3-6xy+40	$f (x) = 3 x^{2} + 2 y^{3} - 6 x y + 40$
36538	Find the Local Maxima and Minima	f(x)=3x^2-6/(x^2)	$f (x) = 3 x^{2} - \frac{6}{x^{2}}$
36539	Find the Local Maxima and Minima	f(x)=3x^2+(7-x)^2+4	$f (x) = 3 x^{2} + {(7 - x)}^{2} + 4$
36540	Find the Local Maxima and Minima	f(x)=-3x^2+11x	$f (x) = - 3 x^{2} + 11 x$
36541	Find the Local Maxima and Minima	f(x)=3x^2+12x+9	$f (x) = 3 x^{2} + 12 x + 9$
36542	Find the Local Maxima and Minima	f(x)=-3x^2+12x-14	$f (x) = - 3 x^{2} + 12 x - 14$
36543	Find the Derivative - d/d?	csc(theta)	$\csc (θ)$
36544	Find the Local Maxima and Minima	f(x)=20x^3-6x	$f (x) = 20 x^{3} - 6 x$
36545	Find the Local Maxima and Minima	f(x)=200x^3e^(2x)+700	$f (x) = 200 x^{3} e^{2 x} + 700$
36546	Find the Local Maxima and Minima	f(x)=200+8x^3+x^4	$f (x) = 200 + 8 x^{3} + x^{4}$
36547	Find the Derivative - d/d@VAR	f(x)=xsin(3x)	$f (x) = x \sin (3 x)$
36548	Find the Local Maxima and Minima	f(x)=-2000x^-2+1/5	$f (x) = - 2000 x^{- 2} + \frac{1}{5}$
36549	Find the Local Maxima and Minima	f(x)=2000-2x	$f (x) = 2000 - 2 x$
36550	Find the Local Maxima and Minima	f(x)=2000x-x^2+500000	$f (x) = 2000 x - x^{2} + 500000$
36551	Find the Local Maxima and Minima	f(x)=208x-16x^2	$f (x) = 208 x - 16 x^{2}$
36552	Find the Local Maxima and Minima	f(x)=210+8x^3+x^4	$f (x) = 210 + 8 x^{3} + x^{4}$
36553	Find the Local Maxima and Minima	f(x)=-21000*x^-1.75	$f (x) = - 21000 \cdot x^{- 1.75}$
36554	Find the Derivative - d/dt	(sin(t))/t	$\frac{\sin (t)}{t}$
36555	Find the Derivative - d/dt	sin(t)	$\sin (t)$
36556	Find the Local Maxima and Minima	f(x)=2646x-0.18x^3	$f (x) = 2646 x - 0.18 x^{3}$
36557	Find the Local Maxima and Minima	f(x)=22x^5+14x^4-6x^3+5x^2+10x-1	$f (x) = 22 x^{5} + 14 x^{4} - 6 x^{3} + 5 x^{2} + 10 x - 1$
36558	Find the Local Maxima and Minima	f(x)=22x-44 square root of x+48	$f (x) = 22 x - 44 \sqrt{x} + 48$
36559	Find the Local Maxima and Minima	f(x)=22xy-x^3-11y^2	$f (x) = 22 x y - x^{3} - 11 y^{2}$
36560	Find the Local Maxima and Minima	f(x)=2-3x^2	$f (x) = 2 - 3 x^{2}$
36561	Find the Local Maxima and Minima	f(x)=2-3x-x^2	$f (x) = 2 - 3 x - x^{2}$
36562	Find the Local Maxima and Minima	f(x)=-24e^(-4x)-16e^(-4x)x	$f (x) = - 24 e^{- 4 x} - 16 e^{- 4 x} x$
36563	Find the Local Maxima and Minima	f(x)=24e^x-e^(2x)	$f (x) = 24 e^{x} - e^{2 x}$
36564	Find the Local Maxima and Minima	f(x)=24x^2-3x^4	$f (x) = 24 x^{2} - 3 x^{4}$
36565	Find the Local Maxima and Minima	f(x)=24x^3-3x^4	$f (x) = 24 x^{3} - 3 x^{4}$
36566	Find the Local Maxima and Minima	f(x)=24x^3-3x^4*(x^3(24-3x))	$f (x) = 24 x^{3} - 3 x^{4} \cdot (x^{3} (24 - 3 x))$
36567	Find the Local Maxima and Minima	f(x)=24+5x-x^2	$f (x) = 24 + 5 x - x^{2}$
36568	Find the Local Maxima and Minima	f(x)=240+8.4x-0.01x^2	$f (x) = 240 + 8.4 x - 0.01 x^{2}$
36569	Find the Local Maxima and Minima	f(x)=24x-2	$f (x) = 24 x - 2$
36570	Find the Local Maxima and Minima	f(x)=24x-24x^2	$f (x) = 24 x - 24 x^{2}$
36571	Find the Local Maxima and Minima	f(x)=25n^2+150n+21500	$f (x) = 25 n^{2} + 150 n + 21500$
36572	Find the Local Maxima and Minima	f(x)=2-5x^2	$f (x) = 2 - 5 x^{2}$
36573	Find the Local Maxima and Minima	f(x)=25x^2+3200/x	$f (x) = 25 x^{2} + \frac{3200}{x}$
36574	Find the Local Maxima and Minima	f(x)=25x^4-450x^2+4	$f (x) = 25 x^{4} - 450 x^{2} + 4$
36575	Find the Local Maxima and Minima	f(x)=250-x/20	$f (x) = 250 - \frac{x}{20}$
36576	Find the Local Maxima and Minima	f(x)=250+5x+0.1x^2	$f (x) = 250 + 5 x + 0.1 x^{2}$
36577	Find the Local Maxima and Minima	f(x)=-2500x^2+100000x-960000	$f (x) = - 2500 x^{2} + 100000 x - 960000$
36578	Find the Local Maxima and Minima	f(x)=256x^3+2x^2+x	$f (x) = 256 x^{3} + 2 x^{2} + x$
36579	Find the Local Maxima and Minima	f(x)=25-8x+x^2	$f (x) = 25 - 8 x + x^{2}$
36580	Find the Local Maxima and Minima	f(x)=25-9x^-2	$f (x) = 25 - 9 x^{- 2}$
36581	Find the Local Maxima and Minima	f(x)=25x+16/x	$f (x) = 25 x + \frac{16}{x}$
36582	Find the Local Maxima and Minima	f(x)=25x+9/x	$f (x) = 25 x + \frac{9}{x}$
36583	Find the Local Maxima and Minima	f(x)=2q+2+79/q	$f (x) = 2 q + 2 + \frac{79}{q}$
36584	Find the Local Maxima and Minima	f(x)=2sec(x)	$f (x) = 2 \sec (x)$
36585	Find the Local Maxima and Minima	f(x)=2cos(x)-sin(2x)	$f (x) = 2 \cos (x) - \sin (2 x)$
36586	Find the Local Maxima and Minima	f(x)=2cos(x)+cos(x)^2	$f (x) = 2 \cos (x) + \cos^{2} (x)$
36587	Find the Local Maxima and Minima	f(x)=2cos(x)+sin(x)^2	$f (x) = 2 \cos (x) + \sin^{2} (x)$
36588	Find the Local Maxima and Minima	f(x)=2cos(x)+cos(2x)	$f (x) = 2 \cos (x) + \cos (2 x)$
36589	Find the Critical Points	(x+4)^(2/3)	${(x + 4)}^{\frac{2}{3}}$
36590	Find the Local Maxima and Minima	f(x)=27x^3+9x+9	$f (x) = 27 x^{3} + 9 x + 9$
36591	Find the Critical Points	8x^3+x^2+8x	$8 x^{3} + x^{2} + 8 x$
36592	Find the Local Maxima and Minima	f(x)=27x^3-9x+5	$f (x) = 27 x^{3} - 9 x + 5$
36593	Find the Local Maxima and Minima	f(x)=27x^3-9x+7	$f (x) = 27 x^{3} - 9 x + 7$
36594	Find the Local Maxima and Minima	f(x)=27x-x^3	$f (x) = 27 x - x^{3}$
36595	Find the Local Maxima and Minima	f(x)=27x+9x^2-3x^3	$f (x) = 27 x + 9 x^{2} - 3 x^{3}$
36596	Find the Local Maxima and Minima	f(x)=-27x+9x+7	$f (x) = - 27 x + 9 x + 7$
36597	Find the Local Maxima and Minima	f(x)=28e^(-3t)(e^(2.6t)-e^(-2.6t))	$f (x) = 28 e^{- 3 t} (e^{2.6 t} - e^{- 2.6 t})$
36598	Find the Local Maxima and Minima	f(x)=28-3x-x^2	$f (x) = 28 - 3 x - x^{2}$
36599	Find the Local Maxima and Minima	f(x)=-2cos(2x)+1	$f (x) = - 2 \cos (2 x) + 1$
36600	Find the Local Maxima and Minima	f(x)=2cos(x)	$f (x) = 2 \cos (x)$