What is the derivative of 3/5 x^{15} ?

The derivative of 3/5 x^{15} is 9x^{14}

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

The first derivative of 3/5 x^{15} is 9x^{14}

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\frac{d}{d x} (\frac{3}{5} x^{15})

9 x^{14}

Solution steps

\frac{d}{d x} (\frac{3}{5} x^{15})

Take the constant out:

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

= \frac{3}{5} \frac{d}{d x} (x^{15})

Apply the Power Rule:

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

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

Simplify

\frac{3}{5} \cdot 15 x^{15 - 1} : 9 x^{14}

= 9 x^{14}

What is the derivative of 3/5 x^{15} ?
The derivative of 3/5 x^{15} is 9x^{14}
What is the first derivative of 3/5 x^{15} ?
The first derivative of 3/5 x^{15} is 9x^{14}