Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
22401	Find the Local Maxima and Minima	f(x)=x^2-8x-1	$f (x) = x^{2} - 8 x - 1$
22402	Find the Local Maxima and Minima	f(x)=x^2-1	$f (x) = x^{2} - 1$
22403	Find the Local Maxima and Minima	f(x)=x^2-10x+1	$f (x) = x^{2} - 10 x + 1$
22404	Find the Local Maxima and Minima	f(x)=x^2-10x+100	$f (x) = x^{2} - 10 x + 100$
22405	Find the Local Maxima and Minima	f(x)=x^2-10x+33	$f (x) = x^{2} - 10 x + 33$
22406	Find the Local Maxima and Minima	f(x)=x^2-10x-2	$f (x) = x^{2} - 10 x - 2$
22407	Find the Local Maxima and Minima	f(x)=x^2-22x+7	$f (x) = x^{2} - 22 x + 7$
22408	Find the Local Maxima and Minima	f(x)=x^2-2x+4	$f (x) = x^{2} - 2 x + 4$
22409	Find the Local Maxima and Minima	f(x)=x^2-3x-5	$f (x) = x^{2} - 3 x - 5$
22410	Find the Local Maxima and Minima	f(x)=x^2-3x-1	$f (x) = x^{2} - 3 x - 1$
22411	Find the Local Maxima and Minima	f(x)=x^2-3x-2	$f (x) = x^{2} - 3 x - 2$
22412	Find the Local Maxima and Minima	f(x)=x^6e^x-2	$f (x) = x^{6} e^{x} - 2$
22413	Find the Local Maxima and Minima	f(x)=xe^(8x)	$f (x) = x e^{8 x}$
22414	Find the Local Maxima and Minima	f(x)=-0.1x^2+1.2x+98.6	$f (x) = - 0.1 x^{2} + 1.2 x + 98.6$
22415	Find the Local Maxima and Minima	f(x)=1-x^2	$f (x) = 1 - x^{2}$
22416	Find the Local Maxima and Minima	f(x)=1+5/x-4/(x^2)	$f (x) = 1 + \frac{5}{x} - \frac{4}{x^{2}}$
22417	Find the Local Maxima and Minima	f(x)=1-x^(2/3)	$f (x) = 1 - x^{\frac{2}{3}}$
22418	Find the Local Maxima and Minima	f(x)=1-x^3	$f (x) = 1 - x^{3}$
22419	Find the Local Maxima and Minima	f(x)=-x^6-3x^5+37x^4+50x^3-300x^2-600x+6000	$f (x) = - x^{6} - 3 x^{5} + 37 x^{4} + 50 x^{3} - 300 x^{2} - 600 x + 6000$
22420	Find the Local Maxima and Minima	f(x)=x^5-8x^3+16x	$f (x) = x^{5} - 8 x^{3} + 16 x$
22421	Find the Local Maxima and Minima	f(x)=x^7 natural log of x	$f (x) = x^{7} \ln (x)$
22422	Find the Local Maxima and Minima	f(x)=x^5-5x+3	$f (x) = x^{5} - 5 x + 3$
22423	Find the Local Maxima and Minima	f(x)=10x^6+24x^5+15x^4+3	$f (x) = 10 x^{6} + 24 x^{5} + 15 x^{4} + 3$
22424	Find the Local Maxima and Minima	f(x)=10x-5x natural log of x	$f (x) = 10 x - 5 x \ln (x)$
22425	Find the Local Maxima and Minima	f(x)=1+7/x-8/(x^2)	$f (x) = 1 + \frac{7}{x} - \frac{8}{x^{2}}$
22426	Find the Local Maxima and Minima	f(x)=1+6x+3x^2	$f (x) = 1 + 6 x + 3 x^{2}$
22427	Find the Local Maxima and Minima	f(x)=170+8x^3+x^4	$f (x) = 170 + 8 x^{3} + x^{4}$
22428	Find the Local Maxima and Minima	f(x)=18-x^2+xy-y^2+36y	$f (x) = 18 - x^{2} + x y - y^{2} + 36 y$
22429	Evaluate the Integral	integral from 0 to infinity of xe^(-x) with respect to x	$\int_{0}^{\infty} x e^{- x} d x$
22430	Find the Local Maxima and Minima	f(x)=x^3-6x^2-36x	$f (x) = x^{3} - 6 x^{2} - 36 x$
22431	Find the Local Maxima and Minima	f(x)=x^3-75x-8	$f (x) = x^{3} - 75 x - 8$
22432	Evaluate the Integral	integral from 0 to 5 of square root of 25-x^2 with respect to x	$\int_{0}^{5} \sqrt{25 - x^{2}} d x$
22433	Find the Local Maxima and Minima	f(x)=x^3-4x^2+4	$f (x) = x^{3} - 4 x^{2} + 4$
22434	Find the Local Maxima and Minima	f(x)=x^3-4x^2-4	$f (x) = x^{3} - 4 x^{2} - 4$
22435	Find the Local Maxima and Minima	f(x)=x^4+4/x	$f (x) = x^{4} + \frac{4}{x}$
22436	Find the Local Maxima and Minima	f(x)=-x^4+18x^2-81	$f (x) = - x^{4} + 18 x^{2} - 81$
22437	Find the Local Maxima and Minima	f(x)=x^4+4x^3-1	$f (x) = x^{4} + 4 x^{3} - 1$
22438	Find the Local Maxima and Minima	f(x)=x^4(x-12)^2	$f (x) = x^{4} {(x - 12)}^{2}$
22439	Find the Local Maxima and Minima	f(x)=x^4e^x	$f (x) = x^{4} e^{x}$
22440	Find the Local Maxima and Minima	f(x)=x^4(x-24)^2	$f (x) = x^{4} {(x - 24)}^{2}$
22441	Find the Local Maxima and Minima	f(x)=x^5e^(-6x)	$f (x) = x^{5} e^{- 6 x}$
22442	Find the Local Maxima and Minima	f(x)=x^4-8x^3-32x^2	$f (x) = x^{4} - 8 x^{3} - 32 x^{2}$
22443	Find the Local Maxima and Minima	f(x)=x^4-98x^2+2401	$f (x) = x^{4} - 98 x^{2} + 2401$
22444	Find the 2nd Derivative	f(x)=xcos(x)	$f (x) = x \cos (x)$
22445	Find the Local Maxima and Minima	f(x)=x^4 natural log of x	$f (x) = x^{4} \ln (x)$
22446	Find the Local Maxima and Minima	f(x)=x^4-8x^2+6	$f (x) = x^{4} - 8 x^{2} + 6$
22447	Find the Local Maxima and Minima	f(x)=x^4-4x^3+4	$f (x) = x^{4} - 4 x^{3} + 4$
22448	Find the Local Maxima and Minima	f(x)=x^4-5x^2-3	$f (x) = x^{4} - 5 x^{2} - 3$
22449	Find the Local Maxima and Minima	f(x)=x^4-4x^2+1	$f (x) = x^{4} - 4 x^{2} + 1$
22450	Find the Local Maxima and Minima	f(x)=x^4-288x^2+20736	$f (x) = x^{4} - 288 x^{2} + 20736$
22451	Find the Local Maxima and Minima	f(x)=x^4-242x^2+14641	$f (x) = x^{4} - 242 x^{2} + 14641$
22452	Evaluate	cos(pi/6)^2	$\cos^{2} (\frac{π}{6})$
22453	Find the Local Maxima and Minima	f(x)=x^4-2x^2+5	$f (x) = x^{4} - 2 x^{2} + 5$
22454	Find the Local Maxima and Minima	f(x)=x^4-162x^2+6561	$f (x) = x^{4} - 162 x^{2} + 6561$
22455	Find the Domain	1+1/(2x^(1/2))	$1 + \frac{1}{2 x^{\frac{1}{2}}}$
22456	Find the Local Maxima and Minima	f(x)=5x^2+6x-7	$f (x) = 5 x^{2} + 6 x - 7$
22457	Find the Local Maxima and Minima	f(x)=5x^3+x^2-0.08x+15	$f (x) = 5 x^{3} + x^{2} - 0.08 x + 15$
22458	Find the Local Maxima and Minima	f(x)=5x^2+8x-5	$f (x) = 5 x^{2} + 8 x - 5$
22459	Find the Local Maxima and Minima	f(x)=5x^3e^(-x)	$f (x) = 5 x^{3} e^{- x}$
22460	Find the Local Maxima and Minima	f(x)=5x^2+6x-8	$f (x) = 5 x^{2} + 6 x - 8$
22461	Find the Local Maxima and Minima	f(x)=-5x^2-20x-30	$f (x) = - 5 x^{2} - 20 x - 30$
22462	Find the Local Maxima and Minima	f(x)=4x natural log of x-7x	$f (x) = 4 x \ln (x) - 7 x$
22463	Find the Local Maxima and Minima	f(x)=5-(6+5x)^(2/5)	$f (x) = 5 - {(6 + 5 x)}^{\frac{2}{5}}$
22464	Find the Local Maxima and Minima	f(x)=5cos(x)^2	$f (x) = 5 \cos^{2} (x)$
22465	Find the Local Maxima and Minima	f(x)=5x^3-125x	$f (x) = 5 x^{3} - 125 x$
22466	Find the Local Maxima and Minima	f(x)=5xe^(-2x)	$f (x) = 5 x e^{- 2 x}$
22467	Find the Local Maxima and Minima	f(x)=5cos(2x)-12sin(2x)+3	$f (x) = 5 \cos (2 x) - 12 \sin (2 x) + 3$
22468	Find the Local Maxima and Minima	f(x)=5x-15x^(1/3)	$f (x) = 5 x - 15 x^{\frac{1}{3}}$
22469	Find the Local Maxima and Minima	f(x)=6cos(x)^2-12sin(x)	$f (x) = 6 \cos^{2} (x) - 12 \sin (x)$
22470	Find the Local Maxima and Minima	f(x)=5x^4-20x^3+10	$f (x) = 5 x^{4} - 20 x^{3} + 10$
22471	Find the Local Maxima and Minima	f(x)=5x+cos(2x+1)	$f (x) = 5 x + \cos (2 x + 1)$
22472	Find the Local Maxima and Minima	f(x)=6x^15-9x^3+1	$f (x) = 6 x^{15} - 9 x^{3} + 1$
22473	Find the Local Maxima and Minima	f(x)=6x^4-36x^2	$f (x) = 6 x^{4} - 36 x^{2}$
22474	Find the Local Maxima and Minima	f(x)=6x^5-15x^4-10x^3+30x^2	$f (x) = 6 x^{5} - 15 x^{4} - 10 x^{3} + 30 x^{2}$
22475	Find the Local Maxima and Minima	f(x)=6-3x+x^3	$f (x) = 6 - 3 x + x^{3}$
22476	Find the Local Maxima and Minima	f(x)=64x^3-12x+8	$f (x) = 64 x^{3} - 12 x + 8$
22477	Find the Local Maxima and Minima	f(x)=6x+7x^(6/7)	$f (x) = 6 x + 7 x^{\frac{6}{7}}$
22478	Find the Local Maxima and Minima	f(x)=8cos(x)^2-16sin(x)	$f (x) = 8 \cos^{2} (x) - 16 \sin (x)$
22479	Find the Local Maxima and Minima	f(x)=7x square root of 3-x	$f (x) = 7 x \sqrt{3 - x}$
22480	Find the Local Maxima and Minima	f(x)=7x natural log of x	$f (x) = 7 x \ln (x)$
22481	Find the Derivative - d/dx	7^x log base 7 of x	$7^{x} \log_{7} (x)$
22482	Find the Local Maxima and Minima	f(x)=6sin(2x)	$f (x) = 6 \sin (2 x)$
22483	Find the Local Maxima and Minima	f(x)=7xe^(7-5x^2)	$f (x) = 7 x e^{7 - 5 x^{2}}$
22484	Find the Local Maxima and Minima	f(x)=72-x-x^2	$f (x) = 72 - x - x^{2}$
22485	Find the Local Maxima and Minima	f(x)=4x+1/x	$f (x) = 4 x + \frac{1}{x}$
22486	Find the Local Maxima and Minima	f(x)=4x+ natural log of x	$f (x) = 4 x + \ln (x)$
22487	Find the Local Maxima and Minima	f(x)=-413x^-2+0.000004x	$f (x) = - 413 x^{- 2} + 0.000004 x$
22488	Find the Local Maxima and Minima	f(x)=4x square root of 100-x^2	$f (x) = 4 x \sqrt{100 - x^{2}}$
22489	Find the Local Maxima and Minima	f(x)=-4x^4-2	$f (x) = - 4 x^{4} - 2$
22490	Find the Local Maxima and Minima	f(x)=4x^4-8x^2+1	$f (x) = 4 x^{4} - 8 x^{2} + 1$
22491	Find the Local Maxima and Minima	f(x)=4-2x^2	$f (x) = 4 - 2 x^{2}$
22492	Find the Local Maxima and Minima	f(x)=4-x^4y^4	$f (x) = 4 - x^{4} y^{4}$
22493	Find the Local Maxima and Minima	f(x)=4xe^(-7x)	$f (x) = 4 x e^{- 7 x}$
22494	Find the Local Maxima and Minima	f(x)=4x^3-8x^2+4x+9	$f (x) = 4 x^{3} - 8 x^{2} + 4 x + 9$
22495	Find the Local Maxima and Minima	f(x)=4x^(3/5)-x^(4/5)	$f (x) = 4 x^{\frac{3}{5}} - x^{\frac{4}{5}}$
22496	Find the Local Maxima and Minima	f(x)=4x^3+12x-2	$f (x) = 4 x^{3} + 12 x - 2$
22497	Find the Local Maxima and Minima	f(x)=3x-9x^(1/3)	$f (x) = 3 x - 9 x^{\frac{1}{3}}$
22498	Find the Local Maxima and Minima	f(x)=300x-5x^2+7	$f (x) = 300 x - 5 x^{2} + 7$
22499	Find the Local Maxima and Minima	f(x)=30x-x^2	$f (x) = 30 x - x^{2}$
22500	Find the Derivative - d/dx	-5/(x^6)	$- \frac{5}{x^{6}}$