What is the derivative of y=6x^{-2} ?

The derivative of y=6x^{-2} is -(12)/(x^3)

What is the first derivative of y=6x^{-2} ?

The first derivative of y=6x^{-2} is -(12)/(x^3)

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derivative of

y = 6 x^{- 2}

- \frac{12}{x ^{3}}

Solution steps

\frac{d}{d x} (6 x^{- 2})

Take the constant out:

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

= 6 \frac{d}{d x} (x^{- 2})

Apply the Power Rule:

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

= 6 (- 2 x^{- 2 - 1})

Simplify

6 (- 2 x^{- 2 - 1}) : - \frac{12}{x ^{3}}

= - \frac{12}{x ^{3}}

\frac{1}{( z - 1 )}

y = 25

sin^{35} (x)

\frac{d}{d t} (4 + 12 t + 8 t^{2})

\frac{ln ( x + 1 )}{x}

What is the derivative of y=6x^{-2} ?
The derivative of y=6x^{-2} is -(12)/(x^3)
What is the first derivative of y=6x^{-2} ?
The first derivative of y=6x^{-2} is -(12)/(x^3)