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Popular Calculus >

(2x^4)^'

Solution

(2 x^{4})^{^{'}}

Solution

8 x^{3}

Solution steps

(2 x^{4})^{'}

Take the constant out:

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

= 2 (x^{4})^{^{'}}

Apply the Power Rule:

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

= 2 \cdot 4 x^{4 - 1}

Simplify

= 8 x^{3}

Graph

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Frequently Asked Questions (FAQ)

What is the (2x^4)^' ?
The (2x^4)^' is 8x^3
What is the first (2x^4)^' ?
The first (2x^4)^' is 8x^3