What is the derivative of f(x)=14x^{1/7} ?

The derivative of f(x)=14x^{1/7} is 2/(x^{6/7)}

What is the first derivative of f(x)=14x^{1/7} ?

The first derivative of f(x)=14x^{1/7} is 2/(x^{6/7)}

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derivative of

f (x) = 14 x^{\frac{1}{7}}

\frac{2}{x ^{\frac{6}{7}}}

Solution steps

\frac{d}{d x} (14 x^{\frac{1}{7}})

Take the constant out:

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

= 14 \frac{d}{d x} (x^{\frac{1}{7}})

Apply the Power Rule:

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

= 14 \cdot \frac{1}{7} x^{\frac{1}{7} - 1}

Simplify

14 \cdot \frac{1}{7} x^{\frac{1}{7} - 1} : \frac{2}{x ^{\frac{6}{7}}}

= \frac{2}{x ^{\frac{6}{7}}}

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What is the derivative of f(x)=14x^{1/7} ?
The derivative of f(x)=14x^{1/7} is 2/(x^{6/7)}
What is the first derivative of f(x)=14x^{1/7} ?
The first derivative of f(x)=14x^{1/7} is 2/(x^{6/7)}