Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
37901	Find the Local Maxima and Minima	f(x)=x^2+4x-3	$f (x) = x^{2} + 4 x - 3$
37902	Find the Local Maxima and Minima	f(x)=-x^2+4x-4	$f (x) = - x^{2} + 4 x - 4$
37903	Evaluate the Integral	integral of 6x^2-10x with respect to x	$\int 6 x^{2} - 10 x d x$
37904	Find the Local Maxima and Minima	f(x)=x^2+4xy+y^2+2	$f (x) = x^{2} + 4 x y + y^{2} + 2$
37905	Find the Local Maxima and Minima	f(x)=x^2+4xy+y^2-6x	$f (x) = x^{2} + 4 x y + y^{2} - 6 x$
37906	Find the Local Maxima and Minima	f(x)=x^2+3x-5	$f (x) = x^{2} + 3 x - 5$
37907	Find the Local Maxima and Minima	f(x)=x^2+3x-7	$f (x) = x^{2} + 3 x - 7$
37908	Find the Local Maxima and Minima	f(x)=-x^2+3x-3	$f (x) = - x^{2} + 3 x - 3$
37909	Find the Local Maxima and Minima	x^4-32x^2+256	$x^{4} - 32 x^{2} + 256$
37910	Find the Local Maxima and Minima	f(x)=x^2+3xy+4y^2-6x+2y	$f (x) = x^{2} + 3 x y + 4 y^{2} - 6 x + 2 y$
37911	Find the Local Maxima and Minima	f(x)=x^2+450x+6	$f (x) = x^{2} + 450 x + 6$
37912	Find the Local Maxima and Minima	f(x)=x^2+4x+17	$f (x) = x^{2} + 4 x + 17$
37913	Find the Local Maxima and Minima	f(x)=x^2+6x+19	$f (x) = x^{2} + 6 x + 19$
37914	Evaluate the Integral	integral of 5/(e^(5x))-2/(5x) with respect to x	$\int \frac{5}{e^{5 x}} - \frac{2}{5 x} d x$
37915	Evaluate the Summation	sum from n=0 to 6 of 2(4/3)^n	$\sum_{n = 0}^{6} 2 {(\frac{4}{3})}^{n}$
37916	Find the Local Maxima and Minima	f(x)=x^2+5x-8	$f (x) = x^{2} + 5 x - 8$
37917	Evaluate the Summation	sum from i=1 to 6 of 7i	$\sum_{i = 1}^{6} 7 i$
37918	Find the Local Maxima and Minima	f(x)=x^2+69x+60	$f (x) = x^{2} + 69 x + 60$
37919	Find the Local Maxima and Minima	f(x)=x^2+7x-1	$f (x) = x^{2} + 7 x - 1$
37920	Find the Local Maxima and Minima	f(x)=-x^2+6x-10	$f (x) = - x^{2} + 6 x - 10$
37921	Find the Local Maxima and Minima	f(x)=-x^2+8x-15	$f (x) = - x^{2} + 8 x - 15$
37922	Find the Local Maxima and Minima	f(x)=x^2+8x-7	$f (x) = x^{2} + 8 x - 7$
37923	Find the Local Maxima and Minima	f(x)=x^2+9x-16	$f (x) = x^{2} + 9 x - 16$
37924	Find the Local Maxima and Minima	f(x)=-x^2+ax+b	$f (x) = - x^{2} + a x + b$
37925	Find the Local Maxima and Minima	f(x)=x^3-3x^2+7x-10	$f (x) = x^{3} - 3 x^{2} + 7 x - 10$
37926	Find the 2nd Derivative	f(x)=(x^2-50)^6	$f (x) = {(x^{2} - 50)}^{6}$
37927	Find the Local Maxima and Minima	f(x)=x^3-3x^2+9x+12	$f (x) = x^{3} - 3 x^{2} + 9 x + 12$
37928	Find the Local Maxima and Minima	f(x)=-x^3-3x^2+9x+3	$f (x) = - x^{3} - 3 x^{2} + 9 x + 3$
37929	Find the 2nd Derivative	square root of r+ eighth root of r	$\sqrt{r} + \sqrt[8]{r}$
37930	Find the Local Maxima and Minima	f(x)=-x^3-3x^2+9x-5	$f (x) = - x^{3} - 3 x^{2} + 9 x - 5$
37931	Find the Local Maxima and Minima	f(x)=x^3-3x^2-24x+2	$f (x) = x^{3} - 3 x^{2} - 24 x + 2$
37932	Find the Local Maxima and Minima	f(x)=x^3-3x^2-24x+10	$f (x) = x^{3} - 3 x^{2} - 24 x + 10$
37933	Find the Local Maxima and Minima	f(x)=x^3-3x^2-24x+13	$f (x) = x^{3} - 3 x^{2} - 24 x + 13$
37934	Find the Local Maxima and Minima	f(x)=x^3-3x^2-24x+3	$f (x) = x^{3} - 3 x^{2} - 24 x + 3$
37935	Determine if Continuous	f(x)=(x+3)/((x-3)(x-6))	$f (x) = \frac{x + 3}{(x - 3) (x - 6)}$
37936	Find the Local Maxima and Minima	f(x)=x^3-2x^2-x+2	$f (x) = x^{3} - 2 x^{2} - x + 2$
37937	Find the Local Maxima and Minima	f(x)=x^3-20x^2+100x	$f (x) = x^{3} - 20 x^{2} + 100 x$
37938	Find the Local Maxima and Minima	f(x)=x^3-24x^2	$f (x) = x^{3} - 24 x^{2}$
37939	Evaluate from the Left	limit as x approaches 4 of (x+4)/(x^3-64)	$lim_{x \to 4} \frac{x + 4}{x^{3} - 64}$
37940	Find the Local Maxima and Minima	f(x)=x^3-27x+59	$f (x) = x^{3} - 27 x + 59$
37941	Find the Local Maxima and Minima	f(x)=x^3-27x+63	$f (x) = x^{3} - 27 x + 63$
37942	Find the Local Maxima and Minima	f(x)=x^3-27x-6	$f (x) = x^{3} - 27 x - 6$
37943	Find the Local Maxima and Minima	f(x)=x^3-27x-60	$f (x) = x^{3} - 27 x - 60$
37944	Find the Local Maxima and Minima	f(x)=x^3-27x-7	$f (x) = x^{3} - 27 x - 7$
37945	Find the Local Maxima and Minima	f(x)=x^3-27x+1	$f (x) = x^{3} - 27 x + 1$
37946	Find the Inflection Points	3x^3-9x	$3 x^{3} - 9 x$
37947	Find the Local Maxima and Minima	y=3x^4+4x^3	$y = 3 x^{4} + 4 x^{3}$
37948	Find the Local Maxima and Minima	f(x)=x^3-3x^2*(9x)+3	$f (x) = x^{3} - 3 x^{2} \cdot (9 x) + 3$
37949	Find the Local Maxima and Minima	f(x)=x^3-3x^2-9x-2	$f (x) = x^{3} - 3 x^{2} - 9 x - 2$
37950	Find the Local Maxima and Minima	f(x)=x^3-3x^2+4x-7	$f (x) = x^{3} - 3 x^{2} + 4 x - 7$
37951	Find the Inflection Points	x^3-6x^2-135x	$x^{3} - 6 x^{2} - 135 x$
37952	Find the Local Maxima and Minima	f(x)=x^3-3x^2-24x+7	$f (x) = x^{3} - 3 x^{2} - 24 x + 7$
37953	Find the Local Maxima and Minima	f(x)=x^3-3x^2-24x-5	$f (x) = x^{3} - 3 x^{2} - 24 x - 5$
37954	Find the Local Maxima and Minima	f(x)=x^3-3x^2-3	$f (x) = x^{3} - 3 x^{2} - 3$
37955	Find the Local Maxima and Minima	f(x)=x^3-3x^2-45x	$f (x) = x^{3} - 3 x^{2} - 45 x$
37956	Find the Local Maxima and Minima	f(x)=x^3-3x-7	$f (x) = x^{3} - 3 x - 7$
37957	Find the Local Maxima and Minima	f(x)=x^3-3xy+3y^2	$f (x) = x^{3} - 3 x y + 3 y^{2}$
37958	Find the Local Maxima and Minima	f(x)=x^3-4.5x+6x+3	$f (x) = x^{3} - 4.5 x + 6 x + 3$
37959	Find the Critical Points	y=4x^3-24x^2+7	$y = 4 x^{3} - 24 x^{2} + 7$
37960	Find the Local Maxima and Minima	f(x)=x^3-3x-1	$f (x) = x^{3} - 3 x - 1$
37961	Find Where Increasing/Decreasing Using Derivatives	0.0000329t^3-0.00450t^2+0.0514t+2.34	$0.0000329 t^{3} - 0.0045 t^{2} + 0.0514 t + 2.34$
37962	Find the Local Maxima and Minima	f(x)=x^3-3x^2-9x+15	$f (x) = x^{3} - 3 x^{2} - 9 x + 15$
37963	Find the Critical Points	f(x)=3x(8-x)^3	$f (x) = 3 x {(8 - x)}^{3}$
37964	Find the Local Maxima and Minima	f(x)=x^3-3x^2-9x+2	$f (x) = x^{3} - 3 x^{2} - 9 x + 2$
37965	Find the Local Maxima and Minima	f(x)=x^3-12x^2+21	$f (x) = x^{3} - 12 x^{2} + 21$
37966	Find the Local Maxima and Minima	f(x)=-x^3-12x^2+3	$f (x) = - x^{3} - 12 x^{2} + 3$
37967	Find the Local Maxima and Minima	f(x)=x^3-12x^2+36x+2	$f (x) = x^{3} - 12 x^{2} + 36 x + 2$
37968	Find the Local Maxima and Minima	f(x)=-x^3-12x^2-45x+1	$f (x) = - x^{3} - 12 x^{2} - 45 x + 1$
37969	Find the Local Maxima and Minima	f(x)=x^3-12x[0,4]	$f (x) = x^{3} - 12 x [0, 4]$
37970	Find the Inflection Points	y=3x^5-5x^3	$y = 3 x^{5} - 5 x^{3}$
37971	Find the Local Maxima and Minima	f(x)=x^3-12x+5	$f (x) = x^{3} - 12 x + 5$
37972	Find the Local Maxima and Minima	f(x)=x^3-12x+7	$f (x) = x^{3} - 12 x + 7$
37973	Find the Local Maxima and Minima	f(x)=x^3-12xy+8y^3	$f (x) = x^{3} - 12 x y + 8 y^{3}$
37974	Find the Local Maxima and Minima	f(x)=x^3-12x+10	$f (x) = x^{3} - 12 x + 10$
37975	Find the Concavity	natural log of x^2-8x+52	$\ln (x^{2} - 8 x + 52)$
37976	Find the Concavity	f(x)=x^4-4x^3+3	$f (x) = x^{4} - 4 x^{3} + 3$
37977	Find the Local Maxima and Minima	f(x)=x^3-2x^2-15x+5p(-2,0)	$f (x) = x^{3} - 2 x^{2} - 15 x + 5 p (- 2, 0)$
37978	Find the Concavity	f(x)=-3x^2-2x+7	$f (x) = - 3 x^{2} - 2 x + 7$
37979	Find the Horizontal Tangent Line	y=x^3-13x^2+35x+7	$y = x^{3} - 13 x^{2} + 35 x + 7$
37980	Find the Local Maxima and Minima	f(x)=x^3-15x^2+63x+10	$f (x) = x^{3} - 15 x^{2} + 63 x + 10$
37981	Find the Local Maxima and Minima	f(x)=x^3-15x^2+72x-9	$f (x) = x^{3} - 15 x^{2} + 72 x - 9$
37982	Find the Local Maxima and Minima	f(x)=x^3-2x^2+x+1	$f (x) = x^{3} - 2 x^{2} + x + 1$
37983	Find the Horizontal Tangent Line	f(x)=(4x^2)/(x+2)	$f (x) = \frac{4 x^{2}}{x + 2}$
37984	Find the Local Maxima and Minima	f(x)=x^3-18x^2+60x	$f (x) = x^{3} - 18 x^{2} + 60 x$
37985	Find the Local Maxima and Minima	f(x)=x^3-18x^2+81x	$f (x) = x^{3} - 18 x^{2} + 81 x$
37986	Find the Local Maxima and Minima	f(x)=x^3-18x^2+96x-3	$f (x) = x^{3} - 18 x^{2} + 96 x - 3$
37987	Find the Local Maxima and Minima	f(x)=x^3-18x+3	$f (x) = x^{3} - 18 x + 3$
37988	Find the Local Maxima and Minima	f(x)=x^3-2	$f (x) = x^{3} - 2$
37989	Find the Local Maxima and Minima	f(x)=x^3-2.6x^2-1.6x	$f (x) = x^{3} - 2.6 x^{2} - 1.6 x$
37990	Find the Local Maxima and Minima	f(x)=x^3-2.8x^2-1.1x	$f (x) = x^{3} - 2.8 x^{2} - 1.1 x$
37991	Find the Local Maxima and Minima	f(x)=x^3-2x^2	$f (x) = x^{3} - 2 x^{2}$
37992	Find the Local Maxima and Minima	f(x)=-x^3+7.5x^2-18x+4	$f (x) = - x^{3} + 7.5 x^{2} - 18 x + 4$
37993	Find the Local Maxima and Minima	f(x)=-x^3+63x^2+580x+6	$f (x) = - x^{3} + 63 x^{2} + 580 x + 6$
37994	Find the Local Maxima and Minima	f(x)=x^3+9x^2+20x	$f (x) = x^{3} + 9 x^{2} + 20 x$
37995	Find the Local Maxima and Minima	f(x)=x^3+9x^2+15	$f (x) = x^{3} + 9 x^{2} + 15$
37996	Find the Local Maxima and Minima	f(x)=x^3-1.3x^2-0.91x+1.30	$f (x) = x^{3} - 1.3 x^{2} - 0.91 x + 1.3$
37997	Find the Local Maxima and Minima	f(x)=-x^3-1.5x^2+18x+2	$f (x) = - x^{3} - 1.5 x^{2} + 18 x + 2$
37998	Find the Local Maxima and Minima	f(x)=-x^3-1.5x^2+18x-3	$f (x) = - x^{3} - 1.5 x^{2} + 18 x - 3$
37999	Find the Local Maxima and Minima	f(x)=x^3-1.5x^2-1.1x	$f (x) = x^{3} - 1.5 x^{2} - 1.1 x$
38000	Find the Local Maxima and Minima	f(x)=x^3-1.5x+2	$f (x) = x^{3} - 1.5 x + 2$