Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
37801	Find the Local Maxima and Minima	f(x)=-x^2-18x-32	$f (x) = - x^{2} - 18 x - 32$
37802	Find the Local Maxima and Minima	f(x)=x^2-10x-6	$f (x) = x^{2} - 10 x - 6$
37803	Find the Local Maxima and Minima	f(x)=x^2-10x-7	$f (x) = x^{2} - 10 x - 7$
37804	Find the Local Maxima and Minima	f(x)=x^2-11x+24	$f (x) = x^{2} - 11 x + 24$
37805	Find the Local Maxima and Minima	f(x)=x^2-12x	$f (x) = x^{2} - 12 x$
37806	Find the Local Maxima and Minima	f(x)=x^2-12x+1	$f (x) = x^{2} - 12 x + 1$
37807	Find the Local Maxima and Minima	f(x)=x^2+x-5	$f (x) = x^{2} + x - 5$
37808	Find the Local Maxima and Minima	f(x)=x^2+xy+y^2+2x-5y+5	$f (x) = x^{2} + x y + y^{2} + 2 x - 5 y + 5$
37809	Find the Local Maxima and Minima	f(x)=x^2+xy+y^2+4x-7y+6	$f (x) = x^{2} + x y + y^{2} + 4 x - 7 y + 6$
37810	Find the Local Maxima and Minima	f(x)=x^2+xy+y^2+y	$f (x) = x^{2} + x y + y^{2} + y$
37811	Find the Local Maxima and Minima	f(x)=x^2+xy+y^2-37y+456	$f (x) = x^{2} + x y + y^{2} - 37 y + 456$
37812	Find the Local Maxima and Minima	f(x)=x^2+xy+y^2-3x+2	$f (x) = x^{2} + x y + y^{2} - 3 x + 2$
37813	Find the Local Maxima and Minima	f(x)=x^2+xy+y^2-4y+5	$f (x) = x^{2} + x y + y^{2} - 4 y + 5$
37814	Find the Local Maxima and Minima	f(x)=x^2+xy+5x-2y+1	$f (x) = x^{2} + x y + 5 x - 2 y + 1$
37815	Find the Antiderivative	1.5 square root of x	$1.5 \sqrt{x}$
37816	Find the Local Maxima and Minima	f(x)=x^2+x+2	$f (x) = x^{2} + x + 2$
37817	Find the Local Maxima and Minima	f(x)=x^2-8x-20	$f (x) = x^{2} - 8 x - 20$
37818	Evaluate the Limit	limit as x approaches infinity of ( square root of x+3x^2)/(8x-1)	$lim_{x \to \infty} \frac{\sqrt{x + 3 x^{2}}}{8 x - 1}$
37819	Find the Local Maxima and Minima	f(x)=x^2-8x-7	$f (x) = x^{2} - 8 x - 7$
37820	Find the Local Maxima and Minima	f(x)=x^2-9	$f (x) = x^{2} - 9$
37821	Evaluate the Limit	limit as x approaches 2 of (x^3-2x^2)/(x-2)	$lim_{x \to 2} \frac{x^{3} - 2 x^{2}}{x - 2}$
37822	Find the Local Maxima and Minima	f(x)=x^2-8x+11	$f (x) = x^{2} - 8 x + 11$
37823	Evaluate the Limit	limit as x approaches -2 of (x^2-6)/(2-x)	$lim_{x \to - 2} \frac{x^{2} - 6}{2 - x}$
37824	Evaluate the Limit	limit as h approaches 0 of (f(7+h)-f*7)/h	$lim_{h \to 0} \frac{f (7 + h) - f \cdot 7}{h}$
37825	Find the Local Maxima and Minima	f(x)=x^2-x+2	$f (x) = x^{2} - x + 2$
37826	Evaluate the Limit	limit as x approaches pi/2 of (1-cos(x))/x	$lim_{x \to \frac{π}{2}} \frac{1 - \cos (x)}{x}$
37827	Find the Local Maxima and Minima	f(x)=-x^3-3/2x^2+36-10	$f (x) = - x^{3} - \frac{3}{2} x^{2} + 36 - 10$
37828	Find the Local Maxima and Minima	f(x)=-x^3-7.5^2-18x+22/7	$f (x) = - x^{3} - {7.5}^{2} - 18 x + \frac{22}{7}$
37829	Find the Local Maxima and Minima	f(x)=x^3-7/2x^2+2x-3	$f (x) = x^{3} - \frac{7}{2} x^{2} + 2 x - 3$
37830	Find the Local Maxima and Minima	f(x)=x^3-7/2x^2-20x+5	$f (x) = x^{3} - \frac{7}{2} x^{2} - 20 x + 5$
37831	Find the Local Maxima and Minima	f(x)=-x^3-9x^2+24x+4	$f (x) = - x^{3} - 9 x^{2} + 24 x + 4$
37832	Find the Local Maxima and Minima	f(x)=x^3e^(-6x)	$f (x) = x^{3} e^{- 6 x}$
37833	Find the Local Maxima and Minima	f(x)=-x^2-x-4	$f (x) = - x^{2} - x - 4$
37834	Find the Local Maxima and Minima	f(x)=x^2y-2xy+2y^2-15y	$f (x) = x^{2} y - 2 x y + 2 y^{2} - 15 y$
37835	Find the Local Maxima and Minima	f(x)=x^2-6x-16	$f (x) = x^{2} - 6 x - 16$
37836	Find the Local Maxima and Minima	f(x)=x^2-6x-4	$f (x) = x^{2} - 6 x - 4$
37837	Find the Local Maxima and Minima	f(x)=x^2-6x-5	$f (x) = x^{2} - 6 x - 5$
37838	Find the Local Maxima and Minima	f(x)=x^2-6x-6	$f (x) = x^{2} - 6 x - 6$
37839	Find the Local Maxima and Minima	f(x)=x^2-6x-7	$f (x) = x^{2} - 6 x - 7$
37840	Find the Local Maxima and Minima	f(x)=x^2-6x-9	$f (x) = x^{2} - 6 x - 9$
37841	Find the Local Maxima and Minima	f(x)=x^2-6xy+y^2+16y+3	$f (x) = x^{2} - 6 x y + y^{2} + 16 y + 3$
37842	Find the Local Maxima and Minima	f(x)=x^2-8x+17	$f (x) = x^{2} - 8 x + 17$
37843	Find the Local Maxima and Minima	f(x)=x^2-8x+5	$f (x) = x^{2} - 8 x + 5$
37844	Evaluate	2cos(pi)	$2 \cos (π)$
37845	Evaluate the Integral	integral of e-2t with respect to t	$\int e - 2 t d t$
37846	Find the Local Maxima and Minima	f(x)=x^2-4xy+y^2+12y+3	$f (x) = x^{2} - 4 x y + y^{2} + 12 y + 3$
37847	Find the Local Maxima and Minima	f(x)=x^2-5.2x+1	$f (x) = x^{2} - 5.2 x + 1$
37848	Find the Local Maxima and Minima	f(x)=x^2-5x+2	$f (x) = x^{2} - 5 x + 2$
37849	Find the Local Maxima and Minima	f(x)=x^2-4x-6	$f (x) = x^{2} - 4 x - 6$
37850	Find the Local Maxima and Minima	f(x)=-x^2-4x-3	$f (x) = - x^{2} - 4 x - 3$
37851	Find the Local Maxima and Minima	f(x)=x^2-4x-3	$f (x) = x^{2} - 4 x - 3$
37852	Find the Local Maxima and Minima	f(x)=x^2-6x+1	$f (x) = x^{2} - 6 x + 1$
37853	Find the Local Maxima and Minima	f(x)=x^2-5x-1	$f (x) = x^{2} - 5 x - 1$
37854	Find the Local Maxima and Minima	f(x)=x^2-5x-6	$f (x) = x^{2} - 5 x - 6$
37855	Find the Local Maxima and Minima	f(x)=x^2-6+9	$f (x) = x^{2} - 6 + 9$
37856	Find the Local Maxima and Minima	f(x)=x^2-250/x	$f (x) = x^{2} - \frac{250}{x}$
37857	Find the Local Maxima and Minima	f(x)=x^2-4/x	$f (x) = x^{2} - \frac{4}{x}$
37858	Find the Local Maxima and Minima	f(x)=x^2e^(-0.08x)	$f (x) = x^{2} e^{- 0.08 x}$
37859	Find the Local Maxima and Minima	f(x)=x^2e^(-0.5x)-10	$f (x) = x^{2} e^{- 0.5 x} - 10$
37860	Find the Local Maxima and Minima	f(x)=x^2e^(14x)	$f (x) = x^{2} e^{14 x}$
37861	Find the Local Maxima and Minima	f(x)=-x^2(x+8)^3(x^2-1)	$f (x) = - x^{2} {(x + 8)}^{3} (x^{2} - 1)$
37862	Find the Local Maxima and Minima	f(x)=x^10e^x-8	$f (x) = x^{10} e^{x} - 8$
37863	Find the Local Maxima and Minima	f(x)=x^10-10x	$f (x) = x^{10} - 10 x$
37864	Find the Local Maxima and Minima	f(x)=x^16+16x	$f (x) = x^{16} + 16 x$
37865	Find the Local Maxima and Minima	f(x)=x^2*e^x	$f (x) = x^{2} \cdot e^{x}$
37866	Find the Local Maxima and Minima	f(x)=x^2(6-x)^3	$f (x) = x^{2} {(6 - x)}^{3}$
37867	Find the Local Maxima and Minima	f(x)=x^2(7-x)^3	$f (x) = x^{2} {(7 - x)}^{3}$
37868	Find the Local Maxima and Minima	f(x)=x^(8/3)	$f (x) = x^{\frac{8}{3}}$
37869	Find the Local Maxima and Minima	f(x)=x^(8/9)-3	$f (x) = x^{\frac{8}{9}} - 3$
37870	Find the Local Maxima and Minima	f(x)=x^(9/5)-6x^(4/5)	$f (x) = x^{\frac{9}{5}} - 6 x^{\frac{4}{5}}$
37871	Find the Local Maxima and Minima	f(x)=x^-1+xy-8y^-1	$f (x) = x^{- 1} + x y - 8 y^{- 1}$
37872	Find the Local Maxima and Minima	F(x)=x^(4/5)(x-4)^2	$F (x) = x^{\frac{4}{5}} {(x - 4)}^{2}$
37873	Find the Local Maxima and Minima	f(x)=x^(4/5)(x-5)^2	$f (x) = x^{\frac{4}{5}} {(x - 5)}^{2}$
37874	Find the Local Maxima and Minima	f(x)=x^(4/7)(11/4+x)	$f (x) = x^{\frac{4}{7}} (\frac{11}{4} + x)$
37875	Find the Local Maxima and Minima	f(x)=x^(5/11)(x-5)^2	$f (x) = x^{\frac{5}{11}} {(x - 5)}^{2}$
37876	Find the Local Maxima and Minima	f(x)=x^(4/3)	$f (x) = x^{\frac{4}{3}}$
37877	Find the Local Maxima and Minima	f(x)=x^(4/5)(x-1)^2	$f (x) = x^{\frac{4}{5}} {(x - 1)}^{2}$
37878	Find the Local Maxima and Minima	f(x)=-x^2+13x-38	$f (x) = - x^{2} + 13 x - 38$
37879	Find the Local Maxima and Minima	f(x)=x^2+16x+10	$f (x) = x^{2} + 16 x + 10$
37880	Find the Local Maxima and Minima	f(x)=x^2+16x-8	$f (x) = x^{2} + 16 x - 8$
37881	Find the Local Maxima and Minima	f(x)=-x^2+18x-96+200/x	$f (x) = - x^{2} + 18 x - 96 + \frac{200}{x}$
37882	Find the Local Maxima and Minima	f(x)=x^2+20x+15	$f (x) = x^{2} + 20 x + 15$
37883	Evaluate the Integral	integral of 2xydx with respect to x	$\int 2 x yds x d x$
37884	Find the Local Maxima and Minima	f(x)=x^10e^x-5	$f (x) = x^{10} e^{x} - 5$
37885	Find the Local Maxima and Minima	f(x)=x^10e^x-6	$f (x) = x^{10} e^{x} - 6$
37886	Find the Local Maxima and Minima	f(x)=x^2e^(9x)	$f (x) = x^{2} e^{9 x}$
37887	Find the Local Maxima and Minima	f(x)=x^2e^(-x)[0,4]	$f (x) = x^{2} e^{- x} [0, 4]$
37888	Find the Local Maxima and Minima	f(x)=x^2+128/x-1	$f (x) = x^{2} + \frac{128}{x} - 1$
37889	Find the Local Maxima and Minima	f(x)=x^2+(4(4000))/x	$f (x) = x^{2} + \frac{4 (4000)}{x}$
37890	Find the Local Maxima and Minima	f(x)=x^2+480/x	$f (x) = x^{2} + \frac{480}{x}$
37891	Find the Local Maxima and Minima	f(x)=x^2+y^2-8x+20y-15	$f (x) = x^{2} + y^{2} - 8 x + 20 y - 15$
37892	Evaluate the Integral	integral of xsin(9x) with respect to x	$\int x \sin (9 x) d x$
37893	Evaluate the Integral	integral of xcos(pix) with respect to x	$\int x \cos (π x) d x$
37894	Find the Local Maxima and Minima	f(x)=x^2+2x+13	$f (x) = x^{2} + 2 x + 13$
37895	Evaluate the Integral	integral of x-2e^(-x)-1/2*e^(-2x) with respect to x	$\int x - 2 e^{- x} - \frac{1}{2} \cdot e^{- 2 x} d x$
37896	Find the Local Maxima and Minima	f(x)=-x^2+3.2x+8	$f (x) = - x^{2} + 3.2 x + 8$
37897	Find the Local Maxima and Minima	f(x)=x^2+3x^3-2x^2-4x+5	$f (x) = x^{2} + 3 x^{3} - 2 x^{2} - 4 x + 5$
37898	Evaluate the Integral	integral of 1/(2 square root of x) with respect to x	$\int \frac{1}{2 \sqrt{x}} d x$
37899	Find the Local Maxima and Minima	f(x)=-x^2+3x+7	$f (x) = - x^{2} + 3 x + 7$
37900	Find the Local Maxima and Minima	f(x)=-x^2+4x+8	$f (x) = - x^{2} + 4 x + 8$