What is the derivative of-600x^{-2} ?

The derivative of-600x^{-2} is (1200)/(x^3)

What is the first derivative of-600x^{-2} ?

The first derivative of-600x^{-2} is (1200)/(x^3)

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\frac{d}{d x} (- 600 x^{- 2})

\frac{1200}{x ^{3}}

Solution steps

\frac{d}{d x} (- 600 x^{- 2})

Take the constant out:

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

= - 600 \frac{d}{d x} (x^{- 2})

Apply the Power Rule:

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

= - 600 (- 2 x^{- 2 - 1})

Simplify

- 600 (- 2 x^{- 2 - 1}) : \frac{1200}{x ^{3}}

= \frac{1200}{x ^{3}}

x, x, 0, 2

\int \frac{1}{5 x + 1} d x

\int e^{2 x} - 1 d x

\frac{d}{d x} (\frac{cot ( x )}{e ^{x}})

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

What is the derivative of-600x^{-2} ?
The derivative of-600x^{-2} is (1200)/(x^3)
What is the first derivative of-600x^{-2} ?
The first derivative of-600x^{-2} is (1200)/(x^3)