What is the derivative of-1/((2-x^2)) ?

The derivative of-1/((2-x^2)) is -2/((2-x)^3)

What is the first derivative of-1/((2-x^2)) ?

The first derivative of-1/((2-x^2)) is -2/((2-x)^3)

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

- \frac{2}{( 2 - x ) ^{3}}

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply exponent rule:

\frac{1}{a} = a^{- 1}

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

Apply the chain rule:

- \frac{2}{( 2 - x ) ^{3}} \frac{d}{d x} (2 - x)

= - \frac{2}{( 2 - x ) ^{3}} \frac{d}{d x} (2 - x)

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

= - (- \frac{2}{( 2 - x ) ^{3}} (- 1))

Simplify

= - \frac{2}{( 2 - x ) ^{3}}

\frac{\partial}{\partial x} (3 x^{2} + y^{3})

y = x^{\frac{2}{5}}

\frac{d}{d x} (\frac{f ( x , h ) ( x + h ) - f ( x )}{h})

\frac{d}{d n} (i^{n})

x \to 1 lim (\frac{x ^{3}}{3})

What is the derivative of-1/((2-x^2)) ?
The derivative of-1/((2-x^2)) is -2/((2-x)^3)
What is the first derivative of-1/((2-x^2)) ?
The first derivative of-1/((2-x^2)) is -2/((2-x)^3)