What is the derivative of y= 9/(x^{-6)} ?

The derivative of y= 9/(x^{-6)} is 54x^5

What is the first derivative of y= 9/(x^{-6)} ?

The first derivative of y= 9/(x^{-6)} is 54x^5

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derivative of

y = \frac{9}{x ^{- 6}}

54 x^{5}

Solution steps

\frac{d}{d x} (\frac{9}{x ^{- 6}})

Take the constant out:

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

= 9 \frac{d}{d x} (\frac{1}{x ^{- 6}})

Apply exponent rule:

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

= 9 \frac{d}{d x} (x^{6})

Apply the Power Rule:

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

= 9 \cdot 6 x^{6 - 1}

Simplify

= 54 x^{5}

{\frac{s}{( s - 2 ) ( s - 3 ) ( s - 6 )}}

\frac{d}{d x} ((x + a) e^{3 x} + b)

4 x^{- 3} + 6 x^{- \frac{8}{3}}

\frac{\partial}{\partial x} (arcsin (3 x + y))

f (x) = 6 e^{x} cos (x)

What is the derivative of y= 9/(x^{-6)} ?
The derivative of y= 9/(x^{-6)} is 54x^5
What is the first derivative of y= 9/(x^{-6)} ?
The first derivative of y= 9/(x^{-6)} is 54x^5