What is the derivative of 4pi(3+x)^2 ?

The derivative of 4pi(3+x)^2 is 8pi(3+x)

What is the first derivative of 4pi(3+x)^2 ?

The first derivative of 4pi(3+x)^2 is 8pi(3+x)

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derivative of

4 π (3 + x)^{2}

8 π (3 + x)

Solution steps

\frac{d}{d x} (4 π (3 + x)^{2})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 4 π \frac{d}{d x} ((3 + x)^{2})

Apply the chain rule:

2 (3 + x) \frac{d}{d x} (3 + x)

= 2 (3 + x) \frac{d}{d x} (3 + x)

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

= 4 π 2 (3 + x) \cdot 1

Simplify

= 8 π (3 + x)

What is the derivative of 4pi(3+x)^2 ?
The derivative of 4pi(3+x)^2 is 8pi(3+x)
What is the first derivative of 4pi(3+x)^2 ?
The first derivative of 4pi(3+x)^2 is 8pi(3+x)