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

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

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

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

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

5 (x + 1)^{4}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

= 5 (x + 1)^{4}

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