What is the derivative of (sqrt(x)/(2-x)) ?

The derivative of (sqrt(x)/(2-x)) is (2+x)/(2sqrt(x)(2-x)^2)

What is the first derivative of (sqrt(x)/(2-x)) ?

The first derivative of (sqrt(x)/(2-x)) is (2+x)/(2sqrt(x)(2-x)^2)

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Popular >

\frac{d}{d x} (\frac{x}{2 - x})

\frac{2 + x}{2 x ( 2 - x ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{x}{2 - x})

Apply the Quotient Rule:

(\frac{f}{g})^{'} = \frac{f ^{'} \cdot g - g ^{'} \cdot f}{g ^{2}}

= \frac{\frac{d}{d x} ( x ) ( 2 - x ) - \frac{d}{d x} ( 2 - x ) x}{( 2 - x ) ^{2}}

\frac{d}{d x} (x) = \frac{1}{2 x}

\frac{d}{d x} (2 - x) = - 1

= \frac{\frac{1}{2 x} ( 2 - x ) - ( - 1 ) x}{( 2 - x ) ^{2}}

Simplify

\frac{\frac{1}{2 x} ( 2 - x ) - ( - 1 ) x}{( 2 - x ) ^{2}} : \frac{2 + x}{2 x ( 2 - x ) ^{2}}

= \frac{2 + x}{2 x ( 2 - x ) ^{2}}

\frac{d}{d x} ([x + (x + sin^{2} (x))^{3}]^{6})

\int 2^{e^{x}} (1 + 2^{e^{x}})^{5} e^{x} d x

\frac{d}{d x} (\frac{sec ( x )}{x})

\frac{d}{d x} ((ln (3))^{x})

\int \frac{x}{2} d x

What is the derivative of (sqrt(x)/(2-x)) ?
The derivative of (sqrt(x)/(2-x)) is (2+x)/(2sqrt(x)(2-x)^2)
What is the first derivative of (sqrt(x)/(2-x)) ?
The first derivative of (sqrt(x)/(2-x)) is (2+x)/(2sqrt(x)(2-x)^2)