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

The derivative of (4x-3)^4 is 16(4x-3)^3

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

The first derivative of (4x-3)^4 is 16(4x-3)^3

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derivative of

(4 x - 3)^{4}

16 (4 x - 3)^{3}

Solution steps

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

Apply the chain rule:

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

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

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

= 4 (4 x - 3)^{3} \cdot 4

Simplify

= 16 (4 x - 3)^{3}

What is the derivative of (4x-3)^4 ?
The derivative of (4x-3)^4 is 16(4x-3)^3
What is the first derivative of (4x-3)^4 ?
The first derivative of (4x-3)^4 is 16(4x-3)^3