What is the derivative of ln(7x^2) ?

The derivative of ln(7x^2) is 2ln(7)x

What is the first derivative of ln(7x^2) ?

The first derivative of ln(7x^2) is 2ln(7)x

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\frac{d}{d x} (ln (7) x^{2})

2 ln (7) x

Solution steps

\frac{d}{d x} (ln (7) x^{2})

Take the constant out:

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

= ln (7) \frac{d}{d x} (x^{2})

Apply the Power Rule:

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

= ln (7) \cdot 2 x^{2 - 1}

Simplify

= 2 ln (7) x

What is the derivative of ln(7x^2) ?
The derivative of ln(7x^2) is 2ln(7)x
What is the first derivative of ln(7x^2) ?
The first derivative of ln(7x^2) is 2ln(7)x