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

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

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

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

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derivative of

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

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

Solution steps

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

Apply the Quotient Rule:

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

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

\frac{d x}{d x} = 1

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

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

Simplify

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

3 (x + 1), 4 (x + 1), 0, 3

\int e^{- x} \cdot e^{x} d x

x \to 0 lim (\frac{sin ( 8 x )}{tan ( 9 x )})

\int \frac{sin ( t )}{( 4 + cos ( t ) ) ^{5}} d t

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

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