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

The derivative of (x^2)^2 is 4x^3

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

The first derivative of (x^2)^2 is 4x^3

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derivative of

(x^{2})^{2}

4 x^{3}

Solution steps

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

Simplify

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

= \frac{d}{d x} (x^{4})

Apply the Power Rule:

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

= 4 x^{4 - 1}

Simplify

= 4 x^{3}

What is the derivative of (x^2)^2 ?
The derivative of (x^2)^2 is 4x^3
What is the first derivative of (x^2)^2 ?
The first derivative of (x^2)^2 is 4x^3