What is the derivative of-1/(x^{7.7}) ?

The derivative of-1/(x^{7.7}) is (7.7)/(x^{8.7)}

What is the first derivative of-1/(x^{7.7}) ?

The first derivative of-1/(x^{7.7}) is (7.7)/(x^{8.7)}

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\frac{d}{d x} (- \frac{1}{x ^{7.7}})

\frac{7.7}{x ^{8.7}}

Solution steps

\frac{d}{d x} (- \frac{1}{x ^{7.7}})

Take the constant out:

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

= - \frac{d}{d x} (\frac{1}{x ^{7.7}})

Apply exponent rule:

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

= - \frac{d}{d x} (x^{- 7.7})

Apply the Power Rule:

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

= - (- 7.7 x^{- 7.7 - 1})

Simplify

- (- 7.7 x^{- 7.7 - 1}) : \frac{7.7}{x ^{8.7}}

= \frac{7.7}{x ^{8.7}}

What is the derivative of-1/(x^{7.7}) ?
The derivative of-1/(x^{7.7}) is (7.7)/(x^{8.7)}
What is the first derivative of-1/(x^{7.7}) ?
The first derivative of-1/(x^{7.7}) is (7.7)/(x^{8.7)}