What is the derivative of g(x)=(3-4x)^3 ?

The derivative of g(x)=(3-4x)^3 is -12(3-4x)^2

What is the first derivative of g(x)=(3-4x)^3 ?

The first derivative of g(x)=(3-4x)^3 is -12(3-4x)^2

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derivative of

g (x) = (3 - 4 x)^{3}

- 12 (3 - 4 x)^{2}

Solution steps

\frac{d}{d x} ((3 - 4 x)^{3})

Apply the chain rule:

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

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

\frac{d}{d x} (3 - 4 x) = - 4

= 3 (3 - 4 x)^{2} (- 4)

Simplify

= - 12 (3 - 4 x)^{2}

What is the derivative of g(x)=(3-4x)^3 ?
The derivative of g(x)=(3-4x)^3 is -12(3-4x)^2
What is the first derivative of g(x)=(3-4x)^3 ?
The first derivative of g(x)=(3-4x)^3 is -12(3-4x)^2