Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
29701	Find the Derivative - d/dx	3/4x^12	$\frac{3}{4} x^{12}$
29702	Find the Derivative - d/dx	3^(x+1)	$3^{x + 1}$
29703	Find the Derivative - d/dx	2/pisin(pi/2(x-1))	$\frac{2}{π} \cdot \sin (\frac{π}{2} \cdot (x - 1))$
29704	Find the Derivative - d/dx	200/x	$\frac{200}{x}$
29705	Find the Derivative - d/dx	256/x	$\frac{256}{x}$
29706	Find the Derivative - d/dx	4/3x	$\frac{4}{3} x$
29707	Find the Derivative - d/dx	4^(-x)sin(x)	$4^{- x} \sin (x)$
29708	Find the Derivative - d/dx	4/(cos(x))+1/(tan(x))	$\frac{4}{\cos (x)} + \frac{1}{\tan (x)}$
29709	Find the Derivative - d/dx	4^(3x-1)=1024	$4^{3 x - 1} = 1024$
29710	Find the Derivative - d/dx	3^(3x)	$3^{3 x}$
29711	Find the Derivative - d/dx	(4x^3)/3	$\frac{4 x^{3}}{3}$
29712	Find the Derivative - d/dx	1/(cos(x)^2)	$\frac{1}{\cos^{2} (x)}$
29713	Find the Derivative - d/dx	-1/3x^3	$- \frac{1}{3} x^{3}$
29714	Find the Derivative - d/dx	1/3x^3-2x^2+3x-4	$\frac{1}{3} x^{3} - 2 x^{2} + 3 x - 4$
29715	Find the Derivative - d/dx	1/4*cos(x/4)	$\frac{1}{4} \cdot \cos (\frac{x}{4})$
29716	Find the Derivative - d/dx	1/x-cot(x)	$\frac{1}{x} - \cot (x)$
29717	Find the Derivative - d/dx	1/3x^2	$\frac{1}{3} x^{2}$
29718	Find the Derivative - d/dx	1/3x	$\frac{1}{3} x$
29719	Find the Derivative - d/dx	2/3x^(3/2)	$\frac{2}{3} x^{\frac{3}{2}}$
29720	Find the Derivative - d/dx	10/(sin(x))+1/(cot(x))	$\frac{10}{\sin (x)} + \frac{1}{\cot (x)}$
29721	Find the Derivative - d/dx	2/3x^3	$\frac{2}{3} x^{3}$
29722	Find the Derivative - d/dx	14/x	$\frac{14}{x}$
29723	Find the Derivative - d/dx	(x-1)^5	${(x - 1)}^{5}$
29724	Find the Derivative - d/dx	sin(cos(x))^5	$\sin^{5} (\cos (x))$
29725	Find the Derivative - d/dx	(e^(2x))/(2x)	$\frac{e^{2 x}}{2 x}$
29726	Find the Derivative - d/dx	(x-4)^2	${(x - 4)}^{2}$
29727	Find the Derivative - d/dx	(x-5)^3	${(x - 5)}^{3}$
29728	Find the Derivative - d/dx	(x-5)^4	${(x - 5)}^{4}$
29729	Find the Derivative - d/dx	(x-5)^6	${(x - 5)}^{6}$
29730	Find the Derivative - d/dx	(x^2)/(\|x\|)	$\frac{x^{2}}{\| x \|}$
29731	Find the Derivative - d/dx	(x^3)/9	$\frac{x^{3}}{9}$
29732	Find the Derivative - d/dx	1/2*e^(4x)	$\frac{1}{2} \cdot e^{4 x}$
29733	Find the Derivative - d/dx	(x^4)/8	$\frac{x^{4}}{8}$
29734	Find the Derivative - d/dx	(x^6)/6	$\frac{x^{6}}{6}$
29735	Find the Derivative - d/dx	5^(x^2)	$5^{x^{2}}$
29736	Find the Derivative - d/dx	500/x	$\frac{500}{x}$
29737	Find the Derivative - d/dx	(5x-2)/(4x+3)+x^3	$\frac{5 x - 2}{4 x + 3} + x^{3}$
29738	Find the Derivative - d/dx	(cos(x))/(sin(x))	$\frac{\cos (x)}{\sin (x)}$
29739	Find the Derivative - d/dx	arccos(4x^3)	$\arccos (4 x^{3})$
29740	Find the Derivative - d/dx	arccos(4x-7)	$\arccos (4 x - 7)$
29741	Find the Derivative - d/dx	cos(x^2)^5	$\cos^{5} (x^{2})$
29742	Find the Derivative - d/dx	(e^(4x))/(x^20)	$\frac{e^{4 x}}{x^{20}}$
29743	Find the Derivative - d/dx	cos(3x)^(sin(3x))	${\cos (3 x)}^{\sin (3 x)}$
29744	Find the Derivative - d/dx	(cos(pix+1))/x	$\frac{\cos (π x + 1)}{x}$
29745	Find the Derivative - d/dx	ae^(4x)+8 square root of x	$a e^{4 x} + 8 \sqrt{x}$
29746	Find the Derivative - d/dx	5^(2x)	$5^{2 x}$
29747	Find the Derivative - d/dx	(cot(x))/(1+csc(x))	$\frac{\cot (x)}{1 + \csc (x)}$
29748	Find the Derivative - d/dx	csc(x)^3	$\csc^{3} (x)$
29749	Find the Derivative - d/dx	e^(0.125x)	$e^{0.125 x}$
29750	Find the Derivative - d/dx	e^(1/(x^2))	$e^{\frac{1}{x^{2}}}$
29751	Find the Derivative - d/dx	sin(3x)^2	$\sin^{2} (3 x)$
29752	Find the Derivative - d/dx	(tan(6x))/(sin(2x))	$\frac{\tan (6 x)}{\sin (2 x)}$
29753	Find the Derivative - d/dx	sin(5x)^5	$\sin^{5} (5 x)$
29754	Find the Derivative - d/dx	sec(cos(x))^2	$\sec^{2} (\cos (x))$
29755	Find the Derivative - d/dx	(sin(x))/(sin(x))	$\frac{\sin (x)}{\sin (x)}$
29756	Find the Derivative - d/dx	(sin(x))/(1-cos(x))	$\frac{\sin (x)}{1 - \cos (x)}$
29757	Find the Derivative - d/dx	sin(x)^8	$\sin^{8} (x)$
29758	Find the Derivative - d/dx	pi/x	$\frac{π}{x}$
29759	Find the Derivative - d/dx	ex^x	$e x^{x}$
29760	Find the Derivative - d/dx	e^(-2x^2-y^2)	$e^{- 2 x^{2} - y^{2}}$
29761	Find the Derivative - d/dx	e^x-3	$e^{x} - 3$
29762	Find the Derivative - d/dx	e^(x^3-2x)	$e^{x^{3} - 2 x}$
29763	Find the Derivative - d/dx	e^(x^2-4x+3)	$e^{x^{2} - 4 x + 3}$
29764	Find the Derivative - d/dx	cos(sin(x))^2	$\cos^{2} (\sin (x))$
29765	Find the Derivative - d/dx	e^(1+xy)	$e^{1 + x y}$
29766	Find the Derivative - d/dx	e^(x^6)	$e^{x^{6}}$
29767	Find the Derivative - d/dx	e^(x^2)+5x	$e^{x^{2}} + 5 x$
29768	Find the Derivative - d/dx	e^-2	$e^{- 2}$
29769	Find the Derivative - d/dx	e^(-2x)cos(4x)	$e^{- 2 x} \cos (4 x)$
29770	Find the Derivative - d/dx	e^(-2x)sin(3x)	$e^{- 2 x} \sin (3 x)$
29771	Find the Derivative - d/dx	e^(4x^2)tan(2x)	$e^{4 x^{2}} \tan (2 x)$
29772	Find the Derivative - d/dx	e^(7e^x)	$e^{7 e^{x}}$
29773	Find the Derivative - d/dx	e^(cos(x+2y))	$e^{\cos (x + 2 y)}$
29774	Find the Derivative - d/dx	e^(-8x)	$e^{- 8 x}$
29775	Find the Derivative - d/dX	a^(8x)sin(x)	$a^{8 x} \sin (x)$
29776	Find the Derivative - d/dx	e^(ax)	$e^{a x}$
29777	Find the Derivative - d/dx	e^(cot(2x))	$e^{\cot (2 x)}$
29778	Find the Derivative - d/dx	e^(csc(x))	$e^{\csc (x)}$
29779	Evaluate the Integral	integral of 12x^5 with respect to x	$\int 12 x^{5} d x$
29780	Evaluate the Limit	limit as x approaches 5 of (x^2-x-20)/(x-5)	$lim_{x \to 5} \frac{x^{2} - x - 20}{x - 5}$
29781	Evaluate the Limit	limit as x approaches 5 of (x^3+11x^2-84x+20)/(x^3-25x)	$lim_{x \to 5} \frac{x^{3} + 11 x^{2} - 84 x + 20}{x^{3} - 25 x}$
29782	Evaluate the Limit	limit as x approaches 5 of (x^3-25x)/(x-5)	$lim_{x \to 5} \frac{x^{3} - 25 x}{x - 5}$
29783	Evaluate the Limit	limit as x approaches 5 of 1/(x+5)	$lim_{x \to 5} \frac{1}{x + 5}$
29784	Evaluate the Integral	integral of x square root of 5-x^2 with respect to x	$\int x \sqrt{5 - x^{2}} d x$
29785	Evaluate the Limit	limit as x approaches 5 of x^2-3x+2	$lim_{x \to 5} x^{2} - 3 x + 2$
29786	Evaluate the Limit	limit as x approaches 5 of x^2-9x+2	$lim_{x \to 5} x^{2} - 9 x + 2$
29787	Evaluate the Limit	limit as x approaches 5 of (4x^2-100)/(x-5)	$lim_{x \to 5} \frac{4 x^{2} - 100}{x - 5}$
29788	Evaluate the Limit	limit as x approaches 5 from the left of (x-4)/(x^2-25)	$lim_{x \to 5} \frac{x - 4}{x^{2} - 25}$
29789	Evaluate the Limit	limit as x approaches -5 from the left of (x-5)/(x+5)	$lim_{x \to - 5} \frac{x - 5}{x + 5}$
29790	Evaluate the Limit	limit as x approaches 5 of (x-5)/( square root of x- square root of 5)	$lim_{x \to 5} \frac{x - 5}{\sqrt{x} - \sqrt{5}}$
29791	Evaluate the Limit	limit as x approaches -5 of -((x+3)^3)/(5x^2-25)	$lim_{x \to - 5} - \frac{{(x + 3)}^{3}}{5 x^{2} - 25}$
29792	Evaluate the Limit	limit as x approaches 5 from the left of (e^x)/((x-5)^3)	$lim_{x \to 5} \frac{e^{x}}{{(x - 5)}^{3}}$
29793	Evaluate the Limit	limit as x approaches 5 of ( square root of 2x+14-2* square root of x+2)/(x^2-6x+9)	$lim_{x \to 5} \frac{\sqrt{2 x + 14} - 2 \cdot \sqrt{x + 2}}{x^{2} - 6 x + 9}$
29794	Evaluate the Limit	limit as x approaches 5 of ( square root of x+31)/(x-3)	$lim_{x \to 5} \frac{\sqrt{x + 31}}{x - 3}$
29795	Evaluate the Limit	limit as x approaches 5 of ( square root of x-5)/(x^2-25)	$lim_{x \to 5} \frac{\sqrt{x - 5}}{x^{2} - 25}$
29796	Evaluate the Limit	limit as x approaches -5 of (x^2)/((x-5)^2)	$lim_{x \to - 5} \frac{x^{2}}{{(x - 5)}^{2}}$
29797	Evaluate the Limit	limit as x approaches 5 from the left of (x^2+1)/((2x+3)(x-5))	$lim_{x \to 5} \frac{x^{2} + 1}{(2 x + 3) (x - 5)}$
29798	Evaluate the Summation	sum from k=1 to 6 of -5(-2)^(k-1)	$\sum_{k = 1}^{6} - 5 {(- 2)}^{k - 1}$
29799	Evaluate the Integral	integral of (0.2x-0.3)/(0.2x^2-0.6x+2) with respect to x	$\int \frac{0.2 x - 0.3}{0.2 x^{2} - 0.6 x + 2} d x$
29800	Evaluate the Limit	limit as x approaches 5 of (3- square root of 2x-1)/(3( square root of 5x-5))	$lim_{x \to 5} \frac{3 - \sqrt{2 x - 1}}{3 (\sqrt{5 x - 5})}$