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

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

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

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

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derivative of

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

\int 0.06 x^{2} - 4.4 x + 60 d x

x \to 0 lim (2 x tan (3 x))

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

\int_{1}^{8} 1 d x

\int_{0}^{1} 7 x e^{x^{2}} d x

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