What is the derivative of 1/5 x^{15} ?

The derivative of 1/5 x^{15} is 3x^{14}

What is the first derivative of 1/5 x^{15} ?

The first derivative of 1/5 x^{15} is 3x^{14}

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derivative of

\frac{1}{5} x^{15}

3 x^{14}

Solution steps

\frac{d}{d x} (\frac{1}{5} x^{15})

Take the constant out:

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

= \frac{1}{5} \frac{d}{d x} (x^{15})

Apply the Power Rule:

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

= \frac{1}{5} \cdot 15 x^{15 - 1}

Simplify

\frac{1}{5} \cdot 15 x^{15 - 1} : 3 x^{14}

= 3 x^{14}

What is the derivative of 1/5 x^{15} ?
The derivative of 1/5 x^{15} is 3x^{14}
What is the first derivative of 1/5 x^{15} ?
The first derivative of 1/5 x^{15} is 3x^{14}