What is the derivative of ln(2)x^5 ?

The derivative of ln(2)x^5 is 5ln(2)x^4

What is the first derivative of ln(2)x^5 ?

The first derivative of ln(2)x^5 is 5ln(2)x^4

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derivative of

ln (2) x^{5}

5 ln (2) x^{4}

Solution steps

\frac{d}{d x} (ln (2) x^{5})

Take the constant out:

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

= ln (2) \frac{d}{d x} (x^{5})

Apply the Power Rule:

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

= ln (2) \cdot 5 x^{5 - 1}

Simplify

= 5 ln (2) x^{4}

What is the derivative of ln(2)x^5 ?
The derivative of ln(2)x^5 is 5ln(2)x^4
What is the first derivative of ln(2)x^5 ?
The first derivative of ln(2)x^5 is 5ln(2)x^4