What is the derivative of In(x^3) ?

The derivative of In(x^3) is 3nIx^2

What is the first derivative of In(x^3) ?

The first derivative of In(x^3) is 3nIx^2

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\frac{d}{d x} (I n (x^{3}))

3 n I x^{2}

Solution steps

\frac{d}{d x} (I n (x^{3}))

Treat

n, I

as a constant

Take the constant out:

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

= I n \frac{d}{d x} (x^{3})

Apply the Power Rule:

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

= I n \cdot 3 x^{3 - 1}

Simplify

= 3 n I x^{2}

What is the derivative of In(x^3) ?
The derivative of In(x^3) is 3nIx^2
What is the first derivative of In(x^3) ?
The first derivative of In(x^3) is 3nIx^2