What is the derivative of f(x)=(9x+3)^3 ?

The derivative of f(x)=(9x+3)^3 is 27(9x+3)^2

What is the first derivative of f(x)=(9x+3)^3 ?

The first derivative of f(x)=(9x+3)^3 is 27(9x+3)^2

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derivative of

f (x) = (9 x + 3)^{3}

27 (9 x + 3)^{2}

Solution steps

\frac{d}{d x} ((9 x + 3)^{3})

Apply the chain rule:

3 (9 x + 3)^{2} \frac{d}{d x} (9 x + 3)

= 3 (9 x + 3)^{2} \frac{d}{d x} (9 x + 3)

\frac{d}{d x} (9 x + 3) = 9

= 3 (9 x + 3)^{2} \cdot 9

Simplify

= 27 (9 x + 3)^{2}

cos (sin (tan (π x)))

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What is the derivative of f(x)=(9x+3)^3 ?
The derivative of f(x)=(9x+3)^3 is 27(9x+3)^2
What is the first derivative of f(x)=(9x+3)^3 ?
The first derivative of f(x)=(9x+3)^3 is 27(9x+3)^2