Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
37401	Find the Local Maxima and Minima	f(x)=x^3-9x^2+15x+10	$f (x) = x^{3} - 9 x^{2} + 15 x + 10$
37402	Find the Local Maxima and Minima	f(x)=x^3-9x^2+15x-4	$f (x) = x^{3} - 9 x^{2} + 15 x - 4$
37403	Find the Local Maxima and Minima	f(x)=x^3-9x^2-120x+6	$f (x) = x^{3} - 9 x^{2} - 120 x + 6$
37404	Find the Local Maxima and Minima	f(x)=-x^3-9x^2-15x-5	$f (x) = - x^{3} - 9 x^{2} - 15 x - 5$
37405	Find the Local Maxima and Minima	f(x)=-x^3-9x^2-24x+1	$f (x) = - x^{3} - 9 x^{2} - 24 x + 1$
37406	Find the Local Maxima and Minima	f(x)=-x^3-9x^2-24x+4	$f (x) = - x^{3} - 9 x^{2} - 24 x + 4$
37407	Find the Local Maxima and Minima	f(x)=x^3-9x^2-48x+52	$f (x) = x^{3} - 9 x^{2} - 48 x + 52$
37408	Find the Local Maxima and Minima	f(x)=-x^4+4x^3-10	$f (x) = - x^{4} + 4 x^{3} - 10$
37409	Find the Local Maxima and Minima	f(x)=x^4+4x^3-16x-12	$f (x) = x^{4} + 4 x^{3} - 16 x - 12$
37410	Find the Critical Points	f(x)=2x^4-8x^2+6	$f (x) = 2 x^{4} - 8 x^{2} + 6$
37411	Find the Local Maxima and Minima	f(x)=x^4+4x^3-36x^2-160x+400	$f (x) = x^{4} + 4 x^{3} - 36 x^{2} - 160 x + 400$
37412	Find the Local Maxima and Minima	f(x)=x^4+4x^3-6	$f (x) = x^{4} + 4 x^{3} - 6$
37413	Find the Local Maxima and Minima	f(x)=x^4+4x-10	$f (x) = x^{4} + 4 x - 10$
37414	Find the Local Maxima and Minima	f(x)=-x^4+50x^2-625	$f (x) = - x^{4} + 50 x^{2} - 625$
37415	Find the Local Maxima and Minima	f(x)=x^4+3x^3+x^2-5	$f (x) = x^{4} + 3 x^{3} + x^{2} - 5$
37416	Find the Local Maxima and Minima	f(x)=x^4+3x^3-4x^2	$f (x) = x^{4} + 3 x^{3} - 4 x^{2}$
37417	Find the Local Maxima and Minima	f(x)=-x^4+32x^2-256	$f (x) = - x^{4} + 32 x^{2} - 256$
37418	Find the Critical Points	sin(3x)	$\sin (3 x)$
37419	Find the Local Maxima and Minima	f(x)=x^4+4x^3+111	$f (x) = x^{4} + 4 x^{3} + 111$
37420	Find the Local Maxima and Minima	f(x)=x^4+4x^3+4x^2+6	$f (x) = x^{4} + 4 x^{3} + 4 x^{2} + 6$
37421	Find the Local Maxima and Minima	f(x)=x^4+16x^3-8	$f (x) = x^{4} + 16 x^{3} - 8$
37422	Find the Local Maxima and Minima	f(x)=x^4+17x^2+72	$f (x) = x^{4} + 17 x^{2} + 72$
37423	Find the Local Maxima and Minima	f(x)=x^4+12x^3-28	$f (x) = x^{4} + 12 x^{3} - 28$
37424	Find the Local Maxima and Minima	f(x)=x^4+16x^3+40x^2+6	$f (x) = x^{4} + 16 x^{3} + 40 x^{2} + 6$
37425	Find the Local Maxima and Minima	f(x)=-x^4+16x^3-40x^2-1742	$f (x) = - x^{4} + 16 x^{3} - 40 x^{2} - 1742$
37426	Find the Local Maxima and Minima	f(x)=x^4+1/3x^3-2x^2-x+1	$f (x) = x^{4} + \frac{1}{3} x^{3} - 2 x^{2} - x + 1$
37427	Find the Concavity	230+8x^3+x^4	$230 + 8 x^{3} + x^{4}$
37428	Use the Limit Definition to Find the Derivative	f(x) = square root of x+2	$f (x) = \sqrt{x + 2}$
37429	Find the Local Maxima and Minima	f(x)=x^4+x^3-2x^2-3	$f (x) = x^{4} + x^{3} - 2 x^{2} - 3$
37430	Find the Local Maxima and Minima	f(x)=x^3-4x^4	$f (x) = x^{3} - 4 x^{4}$
37431	Find the Local Maxima and Minima	f(x)=x^3-48	$f (x) = x^{3} - 48$
37432	Find the Local Maxima and Minima	f(x)=x^3-48x-3	$f (x) = x^{3} - 48 x - 3$
37433	Find the Local Maxima and Minima	f(x)=x^3-4x^2+5x+6	$f (x) = x^{3} - 4 x^{2} + 5 x + 6$
37434	Find the Local Maxima and Minima	f(x)=x^3-6x^2+155	$f (x) = x^{3} - 6 x^{2} + 155$
37435	Find the Local Maxima and Minima	f(x)=x^3-6x^2+11x-6	$f (x) = x^{3} - 6 x^{2} + 11 x - 6$
37436	Find the Local Maxima and Minima	f(x)=x^3-6x^2+12x	$f (x) = x^{3} - 6 x^{2} + 12 x$
37437	Find the Local Maxima and Minima	f(x)=x^3-6x^2+12x-1	$f (x) = x^{3} - 6 x^{2} + 12 x - 1$
37438	Find the Local Maxima and Minima	f(x)=x^3-4x^2+8x+50	$f (x) = x^{3} - 4 x^{2} + 8 x + 50$
37439	Find the Local Maxima and Minima	f(x)=x^3-4x^2+8x+60	$f (x) = x^{3} - 4 x^{2} + 8 x + 60$
37440	Find the Local Maxima and Minima	f(x)=x^3-4x^2-3x+7	$f (x) = x^{3} - 4 x^{2} - 3 x + 7$
37441	Find the Local Maxima and Minima	f(x)=x^3-3x+27	$f (x) = x^{3} - 3 x + 27$
37442	Find the Derivative - d/d@VAR	f(x)=x^4-25x^2+144	$f (x) = x^{4} - 25 x^{2} + 144$
37443	Find the Local Maxima and Minima	f(x)=x^3-5x^2+7x	$f (x) = x^{3} - 5 x^{2} + 7 x$
37444	Find the Local Maxima and Minima	f(x)=x^3-5x^2+7x-14	$f (x) = x^{3} - 5 x^{2} + 7 x - 14$
37445	Find the Local Maxima and Minima	f(x)=x^3-5x^2+8x	$f (x) = x^{3} - 5 x^{2} + 8 x$
37446	Find the Local Maxima and Minima	f(x)=x^3-5x^2-6x+11	$f (x) = x^{3} - 5 x^{2} - 6 x + 11$
37447	Find the Local Maxima and Minima	f(x)=x^3-5x^2-8x+2	$f (x) = x^{3} - 5 x^{2} - 8 x + 2$
37448	Find the Local Maxima and Minima	f(x)=x^3-5x^2-8x-5	$f (x) = x^{3} - 5 x^{2} - 8 x - 5$
37449	Find the Local Maxima and Minima	f(x)=x^3-5x+5	$f (x) = x^{3} - 5 x + 5$
37450	Find the Local Maxima and Minima	f(x)=x^3-5x-4	$f (x) = x^{3} - 5 x - 4$
37451	Find the Local Maxima and Minima	f(x)=x^3-6*x^2+9x-4	$f (x) = x^{3} - 6 \cdot x^{2} + 9 x - 4$
37452	Find the Local Maxima and Minima	f(x)=x^3-6e^x	$f (x) = x^{3} - 6 e^{x}$
37453	Find the Local Maxima and Minima	f(x)=x^3-8x^2+15x	$f (x) = x^{3} - 8 x^{2} + 15 x$
37454	Find the Local Maxima and Minima	f(x)=x^3-8x^2+16	$f (x) = x^{3} - 8 x^{2} + 16$
37455	Find the Local Maxima and Minima	f(x)=x^3-8x^2+21x-18	$f (x) = x^{3} - 8 x^{2} + 21 x - 18$
37456	Find the Derivative - d/d@VAR	f(x)=x^3+16x	$f (x) = x^{3} + 16 x$
37457	Find the Local Maxima and Minima	f(x)=x^3-6x^2-5	$f (x) = x^{3} - 6 x^{2} - 5$
37458	Find the Local Maxima and Minima	f(x)=x^3-6x^2-9x-8	$f (x) = x^{3} - 6 x^{2} - 9 x - 8$
37459	Find the Derivative - d/d@VAR	f(x)=2^30	$f (x) = 2^{30}$
37460	Find the Local Maxima and Minima	f(x)=x^3-6x-15x+50	$f (x) = x^{3} - 6 x - 15 x + 50$
37461	Find the Local Maxima and Minima	f(x)=x^3-6x-6	$f (x) = x^{3} - 6 x - 6$
37462	Find the Local Maxima and Minima	f(x)=-x^3-7.5x^2-12x+3	$f (x) = - x^{3} - 7.5 x^{2} - 12 x + 3$
37463	Find the Local Maxima and Minima	f(x)=x^3-7x^2	$f (x) = x^{3} - 7 x^{2}$
37464	Find the Local Maxima and Minima	f(x)=x^3-7x^2+3x+19	$f (x) = x^{3} - 7 x^{2} + 3 x + 19$
37465	Find the Local Maxima and Minima	f(x)=x^3-7x^2-24x+2	$f (x) = x^{3} - 7 x^{2} - 24 x + 2$
37466	Find the Local Maxima and Minima	f(x)=x^3-7x^2-24x+4	$f (x) = x^{3} - 7 x^{2} - 24 x + 4$
37467	Find the Local Maxima and Minima	f(x)=x^3-75x+10	$f (x) = x^{3} - 75 x + 10$
37468	Find the Derivative - d/d@VAR	f(x)=2^60	$f (x) = 2^{60}$
37469	Find the Local Maxima and Minima	f(x)=x^3-75x+255	$f (x) = x^{3} - 75 x + 255$
37470	Find the Local Maxima and Minima	f(x)=x^3-75x+3	$f (x) = x^{3} - 75 x + 3$
37471	Find the Derivative - d/d@VAR	f(x)=(6x-1)^2	$f (x) = {(6 x - 1)}^{2}$
37472	Find the Local Maxima and Minima	f(x)=-x^3-6x^2-12x+8	$f (x) = - x^{3} - 6 x^{2} - 12 x + 8$
37473	Find the Local Maxima and Minima	f(x)=x^3-6x^2+9x-4	$f (x) = x^{3} - 6 x^{2} + 9 x - 4$
37474	Find the Local Maxima and Minima	f(x)=x^3-6x^2+9x-8[0,5]	$f (x) = x^{3} - 6 x^{2} + 9 x - 8 [0, 5]$
37475	Find the Local Maxima and Minima	f(x)=x^3-6x^2-15x-7	$f (x) = x^{3} - 6 x^{2} - 15 x - 7$
37476	Find the Derivative - d/d@VAR	f(x)=(8x+3)^2	$f (x) = {(8 x + 3)}^{2}$
37477	Find the Local Maxima and Minima	f(x)=x^3-6x^2-15x+1	$f (x) = x^{3} - 6 x^{2} - 15 x + 1$
37478	Find the Local Maxima and Minima	f(x)=x^3-6x^2-15x+20	$f (x) = x^{3} - 6 x^{2} - 15 x + 20$
37479	Find the Derivative - d/d@VAR	f(x)=(8x+5)^2	$f (x) = {(8 x + 5)}^{2}$
37480	Find the Local Maxima and Minima	f(x)=x^3-6x^2+9x+13	$f (x) = x^{3} - 6 x^{2} + 9 x + 13$
37481	Find the Derivative - d/d@VAR	f(x)=(3x^2-5x)e^x	$f (x) = (3 x^{2} - 5 x) e^{x}$
37482	Find the Local Maxima and Minima	f(x)=2(x/4)^2	$f (x) = 2 {(\frac{x}{4})}^{2}$
37483	Find the Local Maxima and Minima	f(x)=2(-3x^2+48)^3+7	$f (x) = 2 {(- 3 x^{2} + 48)}^{3} + 7$
37484	Find the Local Maxima and Minima	f(x)=2(-4x^2+25)^2+5	$f (x) = 2 {(- 4 x^{2} + 25)}^{2} + 5$
37485	Find the Local Maxima and Minima	f(x)=2-(9+7x)^(2/7)	$f (x) = 2 - {(9 + 7 x)}^{\frac{2}{7}}$
37486	Find the Local Maxima and Minima	f(x)=2e^(x^2-6x)	$f (x) = 2 e^{x^{2} - 6 x}$
37487	Find the Local Maxima and Minima	f(x)=2e^x	$f (x) = 2 e^{x}$
37488	Find the Local Maxima and Minima	f(x)=2e^x-2x	$f (x) = 2 e^{x} - 2 x$
37489	Find the Local Maxima and Minima	f(x)=2sin(x)^2	$f (x) = 2 \sin^{2} (x)$
37490	Find the Local Maxima and Minima	f(x)=2sin(x)^3+3sin(x)+4	$f (x) = 2 \sin^{3} (x) + 3 \sin (x) + 4$
37491	Find the Derivative - d/d@VAR	f(x)=xcos(x)	$f (x) = x \cos (x)$
37492	Find the Local Maxima and Minima	f(x)=2 square root of x(e)^(-x)	$f (x) = 2 \sqrt{x} {(e)}^{- x}$
37493	Find the Local Maxima and Minima	f(x)=2 cube root of x	$f (x) = 2 \sqrt[3]{x}$
37494	Find the Local Maxima and Minima	f(x)=-(2x)/((x^2-1)^2)	$f (x) = - \frac{2 x}{{(x^{2} - 1)}^{2}}$
37495	Find the Local Maxima and Minima	f(x)=(2x)/((x+4)^2)	$f (x) = \frac{2 x}{{(x + 4)}^{2}}$
37496	Find the Local Maxima and Minima	f(x)=188(200/x+x/15)^-1	$f (x) = 188 {(\frac{200}{x} + \frac{x}{15})}^{- 1}$
37497	Find the Local Maxima and Minima	f(x)=18cos(x)+9sin(2x)	$f (x) = 18 \cos (x) + 9 \sin (2 x)$
37498	Find the Local Maxima and Minima	f(x)=18x+15x^2-4x^3	$f (x) = 18 x + 15 x^{2} - 4 x^{3}$
37499	Find the Local Maxima and Minima	f(x)=-18x+54	$f (x) = - 18 x + 54$
37500	Find the Local Maxima and Minima	f(x)=19x^19+8x^8-x	$f (x) = 19 x^{19} + 8 x^{8} - x$