What is the derivative of (x-2)^4 ?

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

What is the first derivative of (x-2)^4 ?

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

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derivative of

(x - 2)^{4}

4 (x - 2)^{3}

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (x - 2) = 1

= 4 (x - 2)^{3} \cdot 1

Simplify

= 4 (x - 2)^{3}

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