What is the derivative of (x-1)^{12} ?

The derivative of (x-1)^{12} is 12(x-1)^{11}

What is the first derivative of (x-1)^{12} ?

The first derivative of (x-1)^{12} is 12(x-1)^{11}

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derivative of

(x - 1)^{12}

12 (x - 1)^{11}

Solution steps

\frac{d}{d x} ((x - 1)^{12})

Apply the chain rule:

12 (x - 1)^{11} \frac{d}{d x} (x - 1)

= 12 (x - 1)^{11} \frac{d}{d x} (x - 1)

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

= 12 (x - 1)^{11} \cdot 1

Simplify

= 12 (x - 1)^{11}

What is the derivative of (x-1)^{12} ?
The derivative of (x-1)^{12} is 12(x-1)^{11}
What is the first derivative of (x-1)^{12} ?
The first derivative of (x-1)^{12} is 12(x-1)^{11}