What is the derivative of (2x+3)^5 ?

The derivative of (2x+3)^5 is 10(2x+3)^4

What is the first derivative of (2x+3)^5 ?

The first derivative of (2x+3)^5 is 10(2x+3)^4

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derivative of

(2 x + 3)^{5}

10 (2 x + 3)^{4}

Solution steps

\frac{d}{d x} ((2 x + 3)^{5})

Apply the chain rule:

5 (2 x + 3)^{4} \frac{d}{d x} (2 x + 3)

= 5 (2 x + 3)^{4} \frac{d}{d x} (2 x + 3)

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

= 5 (2 x + 3)^{4} \cdot 2

Simplify

= 10 (2 x + 3)^{4}

What is the derivative of (2x+3)^5 ?
The derivative of (2x+3)^5 is 10(2x+3)^4
What is the first derivative of (2x+3)^5 ?
The first derivative of (2x+3)^5 is 10(2x+3)^4