What is the derivative of (x+4^2) ?

The derivative of (x+4^2) is 2(x+4)

What is the first derivative of (x+4^2) ?

The first derivative of (x+4^2) is 2(x+4)

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\frac{d}{d x} ((x + 4)^{2})

2 (x + 4)

Solution steps

\frac{d}{d x} ((x + 4)^{2})

Apply the chain rule:

2 (x + 4) \frac{d}{d x} (x + 4)

= 2 (x + 4) \frac{d}{d x} (x + 4)

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

= 2 (x + 4) \cdot 1

Simplify

= 2 (x + 4)

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What is the derivative of (x+4^2) ?
The derivative of (x+4^2) is 2(x+4)
What is the first derivative of (x+4^2) ?
The first derivative of (x+4^2) is 2(x+4)