What is the derivative of (x+2^{-2}) ?

The derivative of (x+2^{-2}) is -2/((x+2)^3)

What is the first derivative of (x+2^{-2}) ?

The first derivative of (x+2^{-2}) is -2/((x+2)^3)

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

d er i v a t i v e \frac{1}{2} (6 t^{2} + t)^{- 3}

\frac{d}{d x} (e^{3 s i n^{2} (2 x)})

\frac{\partial}{\partial x} (7 e^{x} ln (y))

\frac{d}{d x} (sec^{3} (5 x))

d er i v a t i v e arctan (6 x)

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