Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
8001	Find dy/dx	y=3^x	$y = 3^{x}$
8002	Find dy/dx	y=e^(-5x^9)	$y = e^{- 5 x^{9}}$
8003	Find dy/dx	y=e^x	$y = e^{x}$
8004	Find dy/dx	y=e^xsin(x)	$y = e^{x} \sin (x)$
8005	Find dy/dx	y=e^(x/4)	$y = e^{\frac{x}{4}}$
8006	Find dy/dx	y=e^(x/5)	$y = e^{\frac{x}{5}}$
8007	Find dy/dx	y=1/(x+1)	$y = \frac{1}{x + 1}$
8008	Find dy/dx	y=7^(sec(x))+ natural log of x^3	$y = 7^{\sec (x)} + \ln (x^{3})$
8009	Find dy/dx	y=((x+1)(x-8))/((x-1)(x+8))	$y = \frac{(x + 1) (x - 8)}{(x - 1) (x + 8)}$
8010	Find dy/dx	y=((x-7)(x^2+4x))/(x^3)	$y = \frac{(x - 7) (x^{2} + 4 x)}{x^{3}}$
8011	Find dy/dx	y=(4x^3+5)^(3/2)	$y = {(4 x^{3} + 5)}^{\frac{3}{2}}$
8012	Find dy/dx	y=(4x+3)^5	$y = {(4 x + 3)}^{5}$
8013	Find dy/dx	y=(6x^3+7)^(3/2)	$y = {(6 x^{3} + 7)}^{\frac{3}{2}}$
8014	Find dy/dx	y=(x/3.4+3.4/x)(x^2+1)	$y = (\frac{x}{3.4} + \frac{3.4}{x}) (x^{2} + 1)$
8015	Find dy/dx	natural log of xy-y^2=5	$\ln (x y) - y^{2} = 5$
8016	Find dy/dx	natural log of y=e^ysin(x)	$\ln (y) = e^{y} \sin (x)$
8017	Find dy/dx	sin(6y)=x	$\sin (6 y) = x$
8018	Find dy/dx	sin(5y)=x	$\sin (5 y) = x$
8019	Find dy/dx	7cos(x)sin(y)=1	$7 \cos (x) \sin (y) = 1$
8020	Find dy/dx	8x^2-y^2=9	$8 x^{2} - y^{2} = 9$
8021	Find dy/dx	cos(5y)=x	$\cos (5 y) = x$
8022	Find dy/dx	cos(x)+ square root of y=9	$\cos (x) + \sqrt{y} = 9$
8023	Find dy/dx	arctan(x+y)=y^2+pi/4	$\arctan (x + y) = y^{2} + \frac{π}{4}$
8024	Find dy/dx	cot(y)=4x-5y	$\cot (y) = 4 x - 5 y$
8025	Find dy/dx	xy=36	$x y = 36$
8026	Find dy/dx	x-cos(7y)=0	$x - \cos (7 y) = 0$
8027	Find dy/dx	x=y	$x = y$
8028	Find dy/dx	x+y-1 = natural log of x^2+y^2	$x + y - 1 = \ln (x^{2} + y^{2})$
8029	Evaluate the Summation	(1/3) sum from i=0 to 4 of 5^i	$(\frac{1}{3}) \sum_{i = 0}^{4} {(5)}^{i}$
8030	Find dy/dx	y+3xy-5=0	$y + 3 x y - 5 = 0$
8031	Find dy/dx	y=x^-9	$y = x^{- 9}$
8032	Find dy/dx	y=x^(tan(x))	$y = x^{\tan (x)}$
8033	Find dy/dx	y=(x+y)/(x-y)	$y = \frac{x + y}{x - y}$
8034	Find dy/dx	y=x^(3x)	$y = x^{3 x}$
8035	Find dy/dx	y=2x^2+1	$y = 2 x^{2} + 1$
8036	Find dy/dx	y=3x^2	$y = 3 x^{2}$
8037	Find dy/dx	y=3x^2-5x	$y = 3 x^{2} - 5 x$
8038	Find dy/dx	y=3 natural log of x-5/(x^4)	$y = 3 \ln (x) - \frac{5}{x^{4}}$
8039	Find dy/dx	y=3x^2-2x	$y = 3 x^{2} - 2 x$
8040	Find dy/dx	y=(4x-6)^2	$y = {(4 x - 6)}^{2}$
8041	Find dy/dx	y = natural log of ((4x^2)/(5x^5+4))^4	$y = \ln ({(\frac{4 x^{2}}{5 x^{5} + 4})}^{4})$
8042	Find dy/dx	y = log base 2 of 4x^3	$y = \log_{2} (4 x^{3})$
8043	Find dy/dx	y = square root of x^2-1	$y = \sqrt{x^{2} - 1}$
8044	Find dy/dx	y = square root of 3x-2	$y = \sqrt{3 x - 2}$
8045	Find dy/dx	y = square root of 6+5x	$y = \sqrt{6 + 5 x}$
8046	Find dy/dx	y=x/(sin(x)+cos(x))	$y = \frac{x}{\sin (x) + \cos (x)}$
8047	Evaluate the Integral	integral from 0 to infinity of x^2e^(-x) with respect to x	$\int_{0}^{\infty} x^{2} e^{- x} d x$
8048	Find dy/dx	y=x^2 natural log of x	$y = x^{2} \ln (x)$
8049	Find dy/dx	y=x^2sin(6x)	$y = x^{2} \sin (6 x)$
8050	Find dy/dx	y=x^2sin(x)^4+xcos(x)^-3	$y = x^{2} \sin^{4} (x) + x \cos^{- 3} (x)$
8051	Find dy/dx	y=csc(5x)	$y = \csc (5 x)$
8052	Find dy/dx	y=tan(e^x)	$y = \tan (e^{x})$
8053	Find dy/dx	y = natural log of 9x^2+5y^2	$y = \ln (9 x^{2} + 5 y^{2})$
8054	Find dy/dx	y=sin(e^x)	$y = \sin (e^{x})$
8055	Find dy/dx	y=sin(1/x)	$y = \sin (\frac{1}{x})$
8056	Find dy/dx	y=5x-3	$y = 5 x - 3$
8057	Find dy/dx	y=7x	$y = 7 x$
8058	Find dy/dx	y=9x	$y = 9 x$
8059	Find dy/dx	y=cos(x+y)	$y = \cos (x + y)$
8060	Find dy/dx	ycos(x)=5x^2+4y^2	$y \cos (x) = 5 x^{2} + 4 y^{2}$
8061	Find dy/dx	y=x-1/95x^3	$y = x - \frac{1}{95} x^{3}$
8062	Find dy/dx	y=( square root of x-7)/( square root of x+7)	$y = \frac{\sqrt{x} - 7}{\sqrt{x} + 7}$
8063	Find dz/dx	z = square root of x^2+y^2	$z = \sqrt{x^{2} + y^{2}}$
8064	Find the Derivative - d/dx	y=( natural log of x)/(x^6)	$y = \frac{\ln (x)}{x^{6}}$
8065	Find the Derivative - d/dx	y = natural log of (5-x)^6	$y = \ln ({(5 - x)}^{6})$
8066	Find the Derivative - d/dx	y=e^(-7x)	$y = e^{- 7 x}$
8067	Find the Derivative - d/dx	y=1/2*e^x-3sin(x)	$y = \frac{1}{2} \cdot e^{x} - 3 \sin (x)$
8068	Find the Derivative - d/dx	y=e^xcos(x)	$y = e^{x} \cos (x)$
8069	Find the Derivative - d/dx	y=e^(-18x)	$y = e^{- 18 x}$
8070	Find the Derivative - d/dx	y=e^(3x)	$y = e^{3 x}$
8071	Find the Derivative - d/dx	y = square root of sin(x)	$y = \sqrt{\sin (x)}$
8072	Find the Derivative - d/dx	y=vx : 5x^2+1	$y = v x : 5 x^{2} + 1$
8073	Find the Derivative - d/dx	y = cube root of x	$y = \sqrt[3]{x}$
8074	Evaluate the Integral	integral from 0 to pi/2 of sin(x) with respect to x	$\int_{0}^{\frac{π}{2}} \sin (x) d x$
8075	Find the Derivative - d/dx	y=x^2arcsin(e^x)	$y = x^{2} \arcsin (e^{x})$
8076	Find the Derivative - d/dx	y=x^2-3x-4	$y = x^{2} - 3 x - 4$
8077	Find the Derivative - d/dx	y=x^2sin(2x)	$y = x^{2} \sin (2 x)$
8078	Find the Derivative - d/dx	y=x^3cos(x)	$y = x^{3} \cos (x)$
8079	Find the Derivative - d/dx	y=4 square root of x	$y = 4 \sqrt{x}$
8080	Find the Derivative - d/dx	y=4x^-2-3x^-1	$y = 4 x^{- 2} - 3 x^{- 1}$
8081	Find the Derivative - d/dx	y=4x^2-3x	$y = 4 x^{2} - 3 x$
8082	Find the Derivative - d/dx	y=4x^2-x	$y = 4 x^{2} - x$
8083	Find the Derivative - d/dx	y=3x^3	$y = 3 x^{3}$
8084	Find the Derivative - d/dx	y=4x(5x^2-3x)	$y = 4 x (5 x^{2} - 3 x)$
8085	Find the Derivative - d/dx	y=xe^(-2x)	$y = x e^{- 2 x}$
8086	Find the Derivative - d/dx	y=xe^(-kx)	$y = x e^{- k x}$
8087	Find the Derivative - d/dx	y=x^8e^x	$y = x^{8} e^{x}$
8088	Find the Derivative - d/dx	y=14 square root of x	$y = 14 \sqrt{x}$
8089	Find the Derivative - d/dx	y=2.0+0.8x-0.20x^2	$y = 2 + 0.8 x - 0.2 x^{2}$
8090	Find the Derivative - d/dx	y=3x^(-3/2)+2x^(-1/2)+x^3-2	$y = 3 x^{- \frac{3}{2}} + 2 x^{- \frac{1}{2}} + x^{3} - 2$
8091	Find the Derivative - d/dx	y=2xe^(-x)	$y = 2 x e^{- x}$
8092	Find the Derivative - d/dx	y=2tan(1/2x)-x	$y = 2 \tan (\frac{1}{2} x) - x$
8093	Find the Derivative - d/dy	y=(cos(x))/(1-sin(x))	$y = \frac{\cos (x)}{1 - \sin (x)}$
8094	Find the Derivative - d/dy	y=(cot(x))/(1+cot(x))	$y = \frac{\cot (x)}{1 + \cot (x)}$
8095	Find the Derivative - d/dy	y=5e^x+4/( cube root of x)	$y = 5 e^{x} + \frac{4}{\sqrt[3]{x}}$
8096	Subtract	-1/3-1	$- \frac{1}{3} - 1$
8097	Find the Derivative - d/dy	y=3e^x+4/( cube root of x)	$y = 3 e^{x} + \frac{4}{\sqrt[3]{x}}$
8098	Find the Horizontal Tangent Line	y=x^3+6x	$y = x^{3} + 6 x$
8099	Find the Derivative - d/dy	y = fourth root of (2x)/(4x-3)	$y = \sqrt[4]{\frac{2 x}{4 x - 3}}$
8100	Evaluate the Limit	limit as a approaches 0 of ( natural log of 1+a)/a	$lim_{a \to 0} \frac{L N (1 + a)}{a}$