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Popular >

(3x^3)^'

Solution

(3 x^{3})^{^{'}}

Solution

9 x^{2}

Solution steps

(3 x^{3})^{'}

Take the constant out:

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

= 3 (x^{3})^{^{'}}

Apply the Power Rule:

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

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

Simplify

= 9 x^{2}

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Frequently Asked Questions (FAQ)

What is the (3x^3)^' ?
The (3x^3)^' is 9x^2
What is the first (3x^3)^' ?
The first (3x^3)^' is 9x^2