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

The derivative of (1+x)^4 is 4(1+x)^3

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

The first derivative of (1+x)^4 is 4(1+x)^3

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derivative of

(1 + x)^{4}

4 (1 + x)^{3}

Solution steps

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

Apply the chain rule:

4 (1 + x)^{3} \frac{d}{d x} (1 + x)

= 4 (1 + x)^{3} \frac{d}{d x} (1 + x)

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

= 4 (1 + x)^{3} \cdot 1

Simplify

= 4 (1 + x)^{3}

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What is the derivative of (1+x)^4 ?
The derivative of (1+x)^4 is 4(1+x)^3
What is the first derivative of (1+x)^4 ?
The first derivative of (1+x)^4 is 4(1+x)^3