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Popular >

derivative of f(x)=16x^{1/8}

Solution

derivative of

f (x) = 16 x^{\frac{1}{8}}

Solution

\frac{2}{x ^{\frac{7}{8}}}

Solution steps

\frac{d}{d x} (16 x^{\frac{1}{8}})

Take the constant out:

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

= 16 \frac{d}{d x} (x^{\frac{1}{8}})

Apply the Power Rule:

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

= 16 \cdot \frac{1}{8} x^{\frac{1}{8} - 1}

Simplify

16 \cdot \frac{1}{8} x^{\frac{1}{8} - 1} : \frac{2}{x ^{\frac{7}{8}}}

= \frac{2}{x ^{\frac{7}{8}}}

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Frequently Asked Questions (FAQ)

What is the derivative of f(x)=16x^{1/8} ?
The derivative of f(x)=16x^{1/8} is 2/(x^{7/8)}
What is the first derivative of f(x)=16x^{1/8} ?
The first derivative of f(x)=16x^{1/8} is 2/(x^{7/8)}