What is the derivative of 4/5 x^{15} ?

The derivative of 4/5 x^{15} is 12x^{14}

What is the first derivative of 4/5 x^{15} ?

The first derivative of 4/5 x^{15} is 12x^{14}

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\frac{d}{d x} (\frac{4}{5} x^{15})

12 x^{14}

Solution steps

\frac{d}{d x} (\frac{4}{5} x^{15})

Take the constant out:

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

= \frac{4}{5} \frac{d}{d x} (x^{15})

Apply the Power Rule:

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

= \frac{4}{5} \cdot 15 x^{15 - 1}

Simplify

\frac{4}{5} \cdot 15 x^{15 - 1} : 12 x^{14}

= 12 x^{14}

(10.9) (40.3)

\int sin (2 π) x d x

\int \frac{1}{( x ^{4} + 1 )} d x

\int \frac{5}{x ^{2} + 1} d x

\int sec (\frac{x}{2}) d x

What is the derivative of 4/5 x^{15} ?
The derivative of 4/5 x^{15} is 12x^{14}
What is the first derivative of 4/5 x^{15} ?
The first derivative of 4/5 x^{15} is 12x^{14}