What is the derivative of (2x+9)^2 ?

The derivative of (2x+9)^2 is 4(2x+9)

What is the first derivative of (2x+9)^2 ?

The first derivative of (2x+9)^2 is 4(2x+9)

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derivative of

(2 x + 9)^{2}

4 (2 x + 9)

Solution steps

\frac{d}{d x} ((2 x + 9)^{2})

Apply the chain rule:

2 (2 x + 9) \frac{d}{d x} (2 x + 9)

= 2 (2 x + 9) \frac{d}{d x} (2 x + 9)

\frac{d}{d x} (2 x + 9) = 2

= 2 (2 x + 9) \cdot 2

Simplify

= 4 (2 x + 9)

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What is the derivative of (2x+9)^2 ?
The derivative of (2x+9)^2 is 4(2x+9)
What is the first derivative of (2x+9)^2 ?
The first derivative of (2x+9)^2 is 4(2x+9)