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

The derivative of f(x)=(2x+3)^3 is 6(2x+3)^2

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

The first derivative of f(x)=(2x+3)^3 is 6(2x+3)^2

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derivative of

f (x) = (2 x + 3)^{3}

6 (2 x + 3)^{2}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

= 6 (2 x + 3)^{2}

What is the derivative of f(x)=(2x+3)^3 ?
The derivative of f(x)=(2x+3)^3 is 6(2x+3)^2
What is the first derivative of f(x)=(2x+3)^3 ?
The first derivative of f(x)=(2x+3)^3 is 6(2x+3)^2