What is the derivative of (x-3^{-2}) ?

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

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

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

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

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

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (x - 3) = 1

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

Simplify

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

\frac{\partial}{\partial x} (\frac{2 x}{2 y})

3^{x^{2}}

y^{^{'}} = \frac{3 sec ( y )}{( x - 4 ) ^{2}}

\int_{1}^{\infty} \frac{x}{x ^{2} + 4} d x

\frac{d}{d x} (\frac{3 π}{2})

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