Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
49801	Find the Local Maxima and Minima	-x^3-9x^2-15x+1	$- x^{3} - 9 x^{2} - 15 x + 1$
49802	Find the Local Maxima and Minima	4x^3-63x^2+162x-1	$4 x^{3} - 63 x^{2} + 162 x - 1$
49803	Find the Local Maxima and Minima	2x^3-3x^2-72x+1	$2 x^{3} - 3 x^{2} - 72 x + 1$
49804	Find the Local Maxima and Minima	x^2+360/x	$x^{2} + \frac{360}{x}$
49805	Find the Local Maxima and Minima	x^3-7x^2-24x+8	$x^{3} - 7 x^{2} - 24 x + 8$
49806	Find the Local Maxima and Minima	2cos(theta)+cos(theta)^2	$2 \cos (θ) + \cos^{2} (θ)$
49807	Find the Local Maxima and Minima	(x^2-12x+36)/(x-9)	$\frac{x^{2} - 12 x + 36}{x - 9}$
49808	Find the Local Maxima and Minima	2x^5+5x^4-17	$2 x^{5} + 5 x^{4} - 17$
49809	Find the Local Maxima and Minima	(x^4)/(4-8x^2)	$\frac{x^{4}}{4 - 8 x^{2}}$
49810	Find the Local Maxima and Minima	2x^3+21x^2+36x	$2 x^{3} + 21 x^{2} + 36 x$
49811	Find the Local Maxima and Minima	1350x-0.18x^3	$1350 x - 0.18 x^{3}$
49812	Find the Local Maxima and Minima	(x-2)/(x^2-5x+6)	$\frac{(x - 2)}{x^{2} - 5 x + 6}$
49813	Find the Local Maxima and Minima	(30x)/(x^2+9)	$\frac{30 x}{x^{2} + 9}$
49814	Find the Local Maxima and Minima	4x+900000/x	$4 x + \frac{900000}{x}$
49815	Find the Local Maxima and Minima	1/2x^4-48x^2+256x-2	$\frac{1}{2} x^{4} - 48 x^{2} + 256 x - 2$
49816	Find the Local Maxima and Minima	8x^2-16x-192	$8 x^{2} - 16 x - 192$
49817	Find the Local Maxima and Minima	x^3-48x+2	$x^{3} - 48 x + 2$
49818	Find the Local Maxima and Minima	xy+y-14x	$x y + y - 14 x$
49819	Find the Local Maxima and Minima	x^2+y^2-xy+10x-2y+5	$x^{2} + y^{2} - x y + 10 x - 2 y + 5$
49820	Find the Local Maxima and Minima	x^(1/7)(4-x)	$x^{\frac{1}{7}} (4 - x)$
49821	Find the Local Maxima and Minima	(24x)/(x^2+9)	$\frac{24 x}{x^{2} + 9}$
49822	Find the Local Maxima and Minima	12/(x^2-2x-3)	$\frac{12}{x^{2} - 2 x - 3}$
49823	Find the Local Maxima and Minima	2x^3-36x^2+192x	$2 x^{3} - 36 x^{2} + 192 x$
49824	Find the Local Maxima and Minima	(9x)/(x^2+25)	$\frac{9 x}{x^{2} + 25}$
49825	Find the Local Maxima and Minima	x^3-9x^2-21x+9	$x^{3} - 9 x^{2} - 21 x + 9$
49826	Find the Local Maxima and Minima	(x^2+81)/x	$\frac{x^{2} + 81}{x}$
49827	Find the Local Maxima and Minima	8+9x^2-6x^3	$8 + 9 x^{2} - 6 x^{3}$
49828	Find the Local Maxima and Minima	5+3x-x^2	$5 + 3 x - x^{2}$
49829	Find the Local Maxima and Minima	x^4-8x^2-8	$x^{4} - 8 x^{2} - 8$
49830	Find the Local Maxima and Minima	x^2-18x+4	$x^{2} - 18 x + 4$
49831	Find the Local Maxima and Minima	2x^3-3x^2	$2 x^{3} - 3 x^{2}$
49832	Find the Local Maxima and Minima	2x+900000/x	$2 x + \frac{900000}{x}$
49833	Find the Local Maxima and Minima	-(50x)/(x^2+25)	$- \frac{50 x}{x^{2} + 25}$
49834	Find the Local Maxima and Minima	9x^3-54x^2+81x+13	$9 x^{3} - 54 x^{2} + 81 x + 13$
49835	Find the Local Maxima and Minima	e^t-t	$e^{t} - t$
49836	Find the Local Maxima and Minima	x^3-2x^2-4x-5	$x^{3} - 2 x^{2} - 4 x - 5$
49837	Find the Local Maxima and Minima	2x^3-15x^2-84x	$2 x^{3} - 15 x^{2} - 84 x$
49838	Find the Local Maxima and Minima	\|8-x^2\|	$\| 8 - x^{2} \|$
49839	Find the Local Maxima and Minima	x^3-2x^2-15x+4	$x^{3} - 2 x^{2} - 15 x + 4$
49840	Find the Local Maxima and Minima	x^3-7x^2-5x+6	$x^{3} - 7 x^{2} - 5 x + 6$
49841	Find the Local Maxima and Minima	x+17/x	$x + \frac{17}{x}$
49842	Find the Local Maxima and Minima	2x^3-x^2-20x+10	$2 x^{3} - x^{2} - 20 x + 10$
49843	Find the Local Maxima and Minima	x^3-3x+10	$x^{3} - 3 x + 10$
49844	Find the Local Maxima and Minima	-x^3-6x^2+5	$- x^{3} - 6 x^{2} + 5$
49845	Find the Local Maxima and Minima	-x^3+4x^2+16x+5	$- x^{3} + 4 x^{2} + 16 x + 5$
49846	Find the Local Maxima and Minima	x^10e^x-5	$x^{10} e^{x} - 5$
49847	Find the Local Maxima and Minima	- square root of x^2-6x+25	$- \sqrt{x^{2} - 6 x + 25}$
49848	Find the Local Maxima and Minima	0.25F+1.7/(F^2)	$0.25 F + \frac{1.7}{F^{2}}$
49849	Find the Local Maxima and Minima	-x^3+3x^2+9x+1	$- x^{3} + 3 x^{2} + 9 x + 1$
49850	Find the Local Maxima and Minima	x^2-12x+10	$x^{2} - 12 x + 10$
49851	Find the Local Maxima and Minima	5sin(x)^2	$5 \sin^{2} (x)$
49852	Find the Local Maxima and Minima	x^3-2x^2-15x-1	$x^{3} - 2 x^{2} - 15 x - 1$
49853	Find the Local Maxima and Minima	x^3-27x+10	$x^{3} - 27 x + 10$
49854	Find the Local Maxima and Minima	-125x^3+15x+7	$- 125 x^{3} + 15 x + 7$
49855	Find the Local Maxima and Minima	x^4-50x^2+5	$x^{4} - 50 x^{2} + 5$
49856	Find the Local Maxima and Minima	3x^3-27x^2+9	$3 x^{3} - 27 x^{2} + 9$
49857	Find the Local Maxima and Minima	5x^2+6x-2	$5 x^{2} + 6 x - 2$
49858	Find the Local Maxima and Minima	x square root of x-4	$x \sqrt{x - 4}$
49859	Find the Local Maxima and Minima	2cos(x)+sin(2x)	$2 \cos (x) + \sin (2 x)$
49860	Find the Local Maxima and Minima	x^3-4x^2-16x+5	$x^{3} - 4 x^{2} - 16 x + 5$
49861	Find the Local Maxima and Minima	x^4-50x^2+8	$x^{4} - 50 x^{2} + 8$
49862	Find the Local Maxima and Minima	- square root of x^2-6x+10	$- \sqrt{x^{2} - 6 x + 10}$
49863	Find the Local Maxima and Minima	-x^3+27x-56	$- x^{3} + 27 x - 56$
49864	Find the Local Maxima and Minima	x^3-12x-5	$x^{3} - 12 x - 5$
49865	Find the Local Maxima and Minima	8x^3-6x+7	$8 x^{3} - 6 x + 7$
49866	Find the Local Maxima and Minima	10x^4+20x^3	$10 x^{4} + 20 x^{3}$
49867	Find the Local Maxima and Minima	-5x^3+15x+2	$- 5 x^{3} + 15 x + 2$
49868	Find the Local Maxima and Minima	(x+2)/(x^2-5x-14)	$\frac{x + 2}{x^{2} - 5 x - 14}$
49869	Find the Inverse	square root of 1/(x-2)	$\sqrt{\frac{1}{x - 2}}$
49870	Find the Inverse	x^3+5x+7	$x^{3} + 5 x + 7$
49871	Find the Inverse	7x^3-13x^2-4	$7 x^{3} - 13 x^{2} - 4$
49872	Find the Inverse	log base 3 of x	$\log_{3} (x)$
49873	Find the Local Maxima and Minima	f(x)=1/4x^4-1/3x^3-6x^2	$f (x) = \frac{1}{4} x^{4} - \frac{1}{3} x^{3} - 6 x^{2}$
49874	Find the Local Maxima and Minima	f(x)=6-2x^2	$f (x) = 6 - 2 x^{2}$
49875	Find the Local Maxima and Minima	f(x)=x^3-27x+55	$f (x) = x^{3} - 27 x + 55$
49876	Find the Local Maxima and Minima	f(x)=(9x)/(x^2+9)	$f (x) = \frac{9 x}{x^{2} + 9}$
49877	Find the Local Maxima and Minima	f(x)=x^3-5x^2-8x+3	$f (x) = x^{3} - 5 x^{2} - 8 x + 3$
49878	Find the Local Maxima and Minima	h(t)=-t^2+6t+6	$h (t) = - t^{2} + 6 t + 6$
49879	Find the Local Maxima and Minima	f(x)=1/3x^3+x^2-3x	$f (x) = \frac{1}{3} x^{3} + x^{2} - 3 x$
49880	Find the Local Maxima and Minima	f(x)=x^2+250/x	$f (x) = x^{2} + \frac{250}{x}$
49881	Find the Local Maxima and Minima	f(x)=(6x)/(x^2+25)	$f (x) = \frac{6 x}{x^{2} + 25}$
49882	Find the Local Maxima and Minima	g(x)=-(16x)/(x^2+4)	$g (x) = - \frac{16 x}{x^{2} + 4}$
49883	Find the Local Maxima and Minima	f(x)=x^4-2x^2-4	$f (x) = x^{4} - 2 x^{2} - 4$
49884	Find the Local Maxima and Minima	f(x)=8x^3-87x^2+42x+1	$f (x) = 8 x^{3} - 87 x^{2} + 42 x + 1$
49885	Find the Local Maxima and Minima	f(x)=\|4-x^2\|	$f (x) = \| 4 - x^{2} \|$
49886	Expand the Logarithmic Expression	natural log of cube root of (x^12y^6)/(z^3)	$\ln (\sqrt[3]{\frac{x^{12} y^{6}}{z^{3}}})$
49887	Expand the Logarithmic Expression	log of y/(x^2)	$\log (\frac{y}{x^{2}})$
49888	Find the Roots (Zeros)	c(x)=2x^3+3x^2-1	$c (x) = 2 x^{3} + 3 x^{2} - 1$
49889	Find the Roots (Zeros)	f(x)=x^2-5x-14	$f (x) = x^{2} - 5 x - 14$
49890	Find the Inflection Points	x^3-5x^2-8x+4	$x^{3} - 5 x^{2} - 8 x + 4$
49891	Find the Inflection Points	x^3-3x^2+25x-23	$x^{3} - 3 x^{2} + 25 x - 23$
49892	Find the Inflection Points	x^4+8x^3+24x^2+2x-4	$x^{4} + 8 x^{3} + 24 x^{2} + 2 x - 4$
49893	Find the Inflection Points	x^3+9x^2+27x-9	$x^{3} + 9 x^{2} + 27 x - 9$
49894	Find the Inflection Points	(x+2)/(x^2-5x-14)	$\frac{x + 2}{x^{2} - 5 x - 14}$
49895	Find the Inflection Points	x^4-24x^2-20	$x^{4} - 24 x^{2} - 20$
49896	Find the Inflection Points	2x^6+9x^5+10x^4-x+2	$2 x^{6} + 9 x^{5} + 10 x^{4} - x + 2$
49897	Find the Inflection Points	(x+1)^5-5x-2	${(x + 1)}^{5} - 5 x - 2$
49898	Find the Inflection Points	e^(-1.5x^2)	$e^{- 1.5 x^{2}}$
49899	Evaluate Using the Given Value	f(-0.01)=(7sin(-0.01))/-0.01	$f (- 0.01) = \frac{7 \sin (- 0.01)}{- 0.01}$
49900	Add	square root of 2x+1+ square root of 2x+1	$\sqrt{2 x + 1} + \sqrt{2 x + 1}$