What is the derivative of (1+x^{15}) ?

The derivative of (1+x^{15}) is 15(1+x)^{14}

What is the first derivative of (1+x^{15}) ?

The first derivative of (1+x^{15}) is 15(1+x)^{14}

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\frac{d}{d x} ((1 + x)^{15})

15 (1 + x)^{14}

Solution steps

\frac{d}{d x} ((1 + x)^{15})

Apply the chain rule:

15 (1 + x)^{14} \frac{d}{d x} (1 + x)

= 15 (1 + x)^{14} \frac{d}{d x} (1 + x)

\frac{d}{d x} (1 + x) = 1

= 15 (1 + x)^{14} \cdot 1

Simplify

= 15 (1 + x)^{14}

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What is the derivative of (1+x^{15}) ?
The derivative of (1+x^{15}) is 15(1+x)^{14}
What is the first derivative of (1+x^{15}) ?
The first derivative of (1+x^{15}) is 15(1+x)^{14}