What is the derivative of 4/(x^8) ?

The derivative of 4/(x^8) is -(32)/(x^9)

What is the first derivative of 4/(x^8) ?

The first derivative of 4/(x^8) is -(32)/(x^9)

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\frac{d}{d x} (\frac{4}{x ^{8}})

- \frac{32}{x ^{9}}

Solution steps

\frac{d}{d x} (\frac{4}{x ^{8}})

Take the constant out:

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

= 4 \frac{d}{d x} (\frac{1}{x ^{8}})

Apply exponent rule:

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

= 4 \frac{d}{d x} (x^{- 8})

Apply the Power Rule:

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

= 4 (- 8 x^{- 8 - 1})

Simplify

4 (- 8 x^{- 8 - 1}) : - \frac{32}{x ^{9}}

= - \frac{32}{x ^{9}}

x^{2} - y^{2}

\frac{d}{d x} \frac{x}{8} + \frac{( 6 - x ) ^{2} + 4}{3}

x \to 0 lim (\frac{sin ( \frac{x}{3} )}{x})

x \to 0 lim (e^{0})

\frac{d}{d x} (a + b x)

What is the derivative of 4/(x^8) ?
The derivative of 4/(x^8) is -(32)/(x^9)
What is the first derivative of 4/(x^8) ?
The first derivative of 4/(x^8) is -(32)/(x^9)