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

The derivative of f(x)=(6x+2)^3 is 18(6x+2)^2

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

The first derivative of f(x)=(6x+2)^3 is 18(6x+2)^2

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derivative of

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

18 (6 x + 2)^{2}

Solution steps

\frac{d}{d x} ((6 x + 2)^{3})

Apply the chain rule:

3 (6 x + 2)^{2} \frac{d}{d x} (6 x + 2)

= 3 (6 x + 2)^{2} \frac{d}{d x} (6 x + 2)

\frac{d}{d x} (6 x + 2) = 6

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

Simplify

= 18 (6 x + 2)^{2}

What is the derivative of f(x)=(6x+2)^3 ?
The derivative of f(x)=(6x+2)^3 is 18(6x+2)^2
What is the first derivative of f(x)=(6x+2)^3 ?
The first derivative of f(x)=(6x+2)^3 is 18(6x+2)^2