What is the derivative of f(x)=7x^{15} ?

The derivative of f(x)=7x^{15} is 105x^{14}

What is the first derivative of f(x)=7x^{15} ?

The first derivative of f(x)=7x^{15} is 105x^{14}

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derivative of

f (x) = 7 x^{15}

105 x^{14}

Solution steps

\frac{d}{d x} (7 x^{15})

Take the constant out:

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

= 7 \frac{d}{d x} (x^{15})

Apply the Power Rule:

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

= 7 \cdot 15 x^{15 - 1}

Simplify

= 105 x^{14}

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What is the derivative of f(x)=7x^{15} ?
The derivative of f(x)=7x^{15} is 105x^{14}
What is the first derivative of f(x)=7x^{15} ?
The first derivative of f(x)=7x^{15} is 105x^{14}