What is the derivative of (1+x)^5 ?

The derivative of (1+x)^5 is 5(1+x)^4

What is the first derivative of (1+x)^5 ?

The first derivative of (1+x)^5 is 5(1+x)^4

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derivative of

(1 + x)^{5}

5 (1 + x)^{4}

Solution steps

\frac{d}{d x} ((1 + x)^{5})

Apply the chain rule:

5 (1 + x)^{4} \frac{d}{d x} (1 + x)

= 5 (1 + x)^{4} \frac{d}{d x} (1 + x)

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

= 5 (1 + x)^{4} \cdot 1

Simplify

= 5 (1 + x)^{4}

What is the derivative of (1+x)^5 ?
The derivative of (1+x)^5 is 5(1+x)^4
What is the first derivative of (1+x)^5 ?
The first derivative of (1+x)^5 is 5(1+x)^4