What is the derivative of (x^2^5) ?

The derivative of (x^2^5) is 10x^9

What is the first derivative of (x^2^5) ?

The first derivative of (x^2^5) is 10x^9

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\frac{d}{d x} ((x^{2})^{5})

10 x^{9}

Solution steps

\frac{d}{d x} ((x^{2})^{5})

Simplify

(x^{2})^{5} : x^{10}

= \frac{d}{d x} (x^{10})

Apply the Power Rule:

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

= 10 x^{10 - 1}

Simplify

= 10 x^{9}

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What is the derivative of (x^2^5) ?
The derivative of (x^2^5) is 10x^9
What is the first derivative of (x^2^5) ?
The first derivative of (x^2^5) is 10x^9