Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
44901	Find the Derivative of the Integral	(d^91)/(dx^91)(sin(x))	$\frac{d^{91}}{d x^{91}} (\sin (x))$
44902	Find the Derivative of the Integral	y=csc(theta)(theta+cot(theta))	$y = \csc (θ) (θ + \cot (θ))$
44903	Find the Derivative of the Integral	(d^87)/(dx^87)(sin(x))	$\frac{d^{87}}{d x^{87}} (\sin (x))$
44904	Find the Concavity	f(x)=x^3-6x^2+25x-34	$f (x) = x^{3} - 6 x^{2} + 25 x - 34$
44905	Find the Concavity	f(x)=2x^2-8x+1	$f (x) = 2 x^{2} - 8 x + 1$
44906	Find the Concavity	f(x)=x^3-3x^2+23x-21	$f (x) = x^{3} - 3 x^{2} + 23 x - 21$
44907	Find the Concavity	f(x)=4x^2+4sin(2x)	$f (x) = 4 x^{2} + 4 \sin (2 x)$
44908	Find the Slope	6x-2y=8	$6 x - 2 y = 8$
44909	Find the Slope	y=-6x+8	$y = - 6 x + 8$
44910	Find Where Increasing/Decreasing	x^2-4x-60	$x^{2} - 4 x - 60$
44911	Find Where Increasing/Decreasing	x^2-2x-80	$x^{2} - 2 x - 80$
44912	Reduce the Fraction	pi/4	$\frac{π}{4}$
44913	Find the Concavity	natural log of x^2-4x+40	$\ln (x^{2} - 4 x + 40)$
44914	Find the Concavity	(x-1)/(x+7)	$\frac{x - 1}{x + 7}$
44915	Find the Concavity	sin(x/2)	$\sin (\frac{x}{2})$
44916	Find the Second Term	n-5	$n - 5$
44917	Find the Critical Points	f(x)=16x-4x^2	$f (x) = 16 x - 4 x^{2}$
44918	Find the Critical Points	f(x)=(x+2)^(4/3)	$f (x) = {(x + 2)}^{\frac{4}{3}}$
44919	Find the Critical Points	f(x)=7 square root of 2cos(x)+7sin(x)^2	$f (x) = 7 \sqrt{2} \cos (x) + 7 \sin^{2} (x)$
44920	Find the Critical Points	g(x) = square root of 4-x^2	$g (x) = \sqrt{4 - x^{2}}$
44921	Find the Critical Points	f(x)=5cos(x)^2	$f (x) = 5 \cos^{2} (x)$
44922	Find the Critical Points	f(x)=x^4e^(-6x)	$f (x) = x^{4} e^{- 6 x}$
44923	Find the Critical Points	f(x)=4x-48x^(1/3)	$f (x) = 4 x - 48 x^{\frac{1}{3}}$
44924	Find the Critical Points	F(x)=x^2+8x+16	$F (x) = x^{2} + 8 x + 16$
44925	Find the Critical Points	f(x)=(x+1)^(2/5)	$f (x) = {(x + 1)}^{\frac{2}{5}}$
44926	Find the Critical Points	f(x)=x^3-3x+9	$f (x) = x^{3} - 3 x + 9$
44927	Find the Critical Points	f(x)=4x-12x^(1/3)	$f (x) = 4 x - 12 x^{\frac{1}{3}}$
44928	Find the Critical Points	f(x)=x^2+8x-3	$f (x) = x^{2} + 8 x - 3$
44929	Find the Critical Points	f(x)=x^4-32x+7	$f (x) = x^{4} - 32 x + 7$
44930	Find the Critical Points	f(x)=e^(2x-6)-e	$f (x) = e^{2 x - 6} - e$
44931	Find the Critical Points	f(x)=(x^3)/3-9x	$f (x) = \frac{x^{3}}{3} - 9 x$
44932	Find the Other Trig Values in Quadrant II	tan(theta)=- square root of 15	$\tan (θ) = - \sqrt{15}$
44933	Find the Critical Points	f(x)=9x+1/x	$f (x) = 9 x + \frac{1}{x}$
44934	Find the Critical Points	f(x)=x^2+8x+16	$f (x) = x^{2} + 8 x + 16$
44935	Find the Integral	integral of ( square root of x^2-4)/x with respect to x	$\int \frac{\sqrt{x^{2} - 4}}{x} d x$
44936	Find the Integral	cos(pix)	$\cos (π x)$
44937	Find the Integral	e^(t^2)	$e^{t^{2}}$
44938	Find the Integral	(dy)/(y^2)	$\frac{d y}{y^{2}}$
44939	Find the Integral	sec(2x)^2	$\sec^{2} (2 x)$
44940	Find the Integral	2/(1+x^2)	$\frac{2}{1 + x^{2}}$
44941	Find the Integral	1/(y^3)	$\frac{1}{y^{3}}$
44942	Convert to Interval Notation	x>=-7	$x \geq - 7$
44943	Find the Critical Points	2x^3+6x+1	$2 x^{3} + 6 x + 1$
44944	Find the Critical Points	2x^3-9x^2-60x	$2 x^{3} - 9 x^{2} - 60 x$
44945	Find the Critical Points	x^(3/4)-2x^(1/4)	$x^{\frac{3}{4}} - 2 x^{\frac{1}{4}}$
44946	Find the Critical Points	x^4-7x^3	$x^{4} - 7 x^{3}$
44947	Find the Critical Points	3x^4-8x^3+6x^2+7	$3 x^{4} - 8 x^{3} + 6 x^{2} + 7$
44948	Convert to Radical Form	x^(1/9)	$x^{\frac{1}{9}}$
44949	Find the Antiderivative	(dy)/(dx)=y/x	$\frac{d y}{d x} = \frac{y}{x}$
44950	Find the x and y Intercepts	(6x-1)/x	$\frac{6 x - 1}{x}$
44951	Find the x and y Intercepts	1/(x+7)	$\frac{1}{x + 7}$
44952	Find Where Increasing/Decreasing	f(x)=x^2-6x-40	$f (x) = x^{2} - 6 x - 40$
44953	Find the Derivative Using Quotient Rule - d/dx	(ax+b)/(ax-b)	$\frac{a x + b}{a x - b}$
44954	Find the Derivative Using Quotient Rule - d/db	(ax+b)/(ax-b)	$\frac{a x + b}{a x - b}$
44955	Find the Derivative Using Quotient Rule - d/dA	(Kx)/(A+x)	$\frac{K x}{(A + x)}$
44956	Find the Derivative Using Quotient Rule - d/dx	(Kx)/(A+x)	$\frac{K x}{(A + x)}$
44957	Evaluate the Summation	sum from n=1 to 15 of 2n-1	$\sum_{n = 1}^{15} 2 n - 1$
44958	Evaluate the Summation	sum from n=0 to infinity of (1/2)^n	$\sum_{n = 0}^{\infty} {(\frac{1}{2})}^{n}$
44959	Find the Value Using the Unit Circle	sin(15 degrees )	$\sin (15 °)$
44960	Find the x and y Intercepts	f(x)=(x+11)/(x^2-121)	$f (x) = \frac{x + 11}{x^{2} - 121}$
44961	Evaluate the Summation	sum from n=0 to 3 of 5m^2-3n	$\sum_{n = 0}^{3} 5 m^{2} - 3 n$
44962	Evaluate the Summation	sum from j=0 to 3 of 3-jn	$\sum_{j = 0}^{3} 3 - j n$
44963	Evaluate the Summation	sum from m=1 to 4 of (3-m)^2	$\sum_{m = 1}^{4} {(3 - m)}^{2}$
44964	Evaluate the Summation	sum from j=1 to 7 of 1/2(j+1)	$\sum_{j = 1}^{7} \frac{1}{2} (j + 1)$
44965	Evaluate the Summation	sum from k=4 to 8 of sin(kpi)	$\sum_{k = 4}^{8} \sin (k π)$
44966	Evaluate the Summation	sum from i=0 to 3 of (3i+2)^2	$\sum_{i = 0}^{3} {(3 i + 2)}^{2}$
44967	Evaluate the Summation	sum from j=1 to 5 of -5(1/5)^(j-1)	$\sum_{j = 1}^{5} - 5 {(\frac{1}{5})}^{j - 1}$
44968	Find the Derivative Using Product Rule - d/dx	y=(3x^2+4)(4x-5)	$y = (3 x^{2} + 4) (4 x - 5)$
44969	Find the Derivative Using Product Rule - d/dx	y=x^6*x^7	$y = x^{6} \cdot x^{7}$
44970	Find the Derivative Using Product Rule - d/dx	y=(5x^2+4)(4x-5)	$y = (5 x^{2} + 4) (4 x - 5)$
44971	Evaluate the Function	f(x)=x^2+11x-15 ; x=1	$f (x) = x^{2} + 11 x - 15$ ; $x = 1$
44972	Evaluate the Function	f(1)=6/(x^7)	$f (1) = \frac{6}{x^{7}}$
44973	Evaluate the Function	h(1) = square root of we^w	$h (1) = \sqrt{w} e^{w}$
44974	Evaluate the Function	f(7) = square root of x	$f (7) = \sqrt{x}$
44975	Evaluate the Function	f(x)=x^4-200x^2+10 , 0	$f (x) = x^{4} - 200 x^{2} + 10$ , $0$
44976	Evaluate the Function	f(x)=3x-7 , x=3	$f (x) = 3 x - 7$ , $x = 3$
44977	Evaluate the Function	f(x)=4x-5 , f(6)	$f (x) = 4 x - 5$ , $f (6)$
44978	Find the Concavity	f'(x)=25x^2-9	$f' (x) = 25 x^{2} - 9$
44979	Find the Absolute Max and Min over the Interval	f(x)=3x^4-4x^3-12x^2+1 , [-2,3]	$f (x) = 3 x^{4} - 4 x^{3} - 12 x^{2} + 1$ , $[- 2, 3]$
44980	Find the Domain and Range	G(t)=(1-4t)/(2+t)	$G (t) = \frac{1 - 4 t}{2 + t}$
44981	Find the Domain and Range	g(t) = square root of 1-5^t	$g (t) = \sqrt{1 - 5^{t}}$
44982	Find the Domain and Range	f(x)=x/(2x-3)	$f (x) = \frac{x}{2 x - 3}$
44983	Find the Domain and Range	f(x)=r	$f (x) = r$
44984	Find the Antiderivative	f(x)=2cos(2x-5)	$f (x) = 2 \cos (2 x - 5)$
44985	Find the Local Maxima and Minima	2x^2-6/(x^2)	$2 x^{2} - \frac{6}{x^{2}}$
44986	Find the Local Maxima and Minima	2x^3-24x-6	$2 x^{3} - 24 x - 6$
44987	Find the Local Maxima and Minima	x^4-128x^2+4096	$x^{4} - 128 x^{2} + 4096$
44988	Find the Local Maxima and Minima	4x^3-3x^2-60x+17	$4 x^{3} - 3 x^{2} - 60 x + 17$
44989	Find the Local Maxima and Minima	64x^2+54/x+2	$64 x^{2} + \frac{54}{x} + 2$
44990	Find the Local Maxima and Minima	2x square root of 4-x	$2 x \sqrt{4 - x}$
44991	Find the Local Maxima and Minima	4x^3-8x^2+4x-2	$4 x^{3} - 8 x^{2} + 4 x - 2$
44992	Find the Local Maxima and Minima	x^3-x^4	$x^{3} - x^{4}$
44993	Find the Local Maxima and Minima	4x^3-48x-5	$4 x^{3} - 48 x - 5$
44994	Find the Local Maxima and Minima	x square root of 50-x^2	$x \sqrt{50 - x^{2}}$
44995	Find the Local Maxima and Minima	x^3-x^2-x+4	$x^{3} - x^{2} - x + 4$
44996	Find the Local Maxima and Minima	1/4x^4-2x^3+4	$\frac{1}{4} x^{4} - 2 x^{3} + 4$
44997	Divide	6÷8	$6 \div 8$
44998	Divide	87/3	$\frac{87}{3}$
44999	Divide	13.5/2	$\frac{13.5}{2}$
45000	Divide	512/3	$\frac{512}{3}$