What is the derivative of (x^2-1)^2 ?

The derivative of (x^2-1)^2 is 4x(x^2-1)

What is the first derivative of (x^2-1)^2 ?

The first derivative of (x^2-1)^2 is 4x(x^2-1)

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derivative of

(x^{2} - 1)^{2}

4 x (x^{2} - 1)

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

= 4 x (x^{2} - 1)

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What is the derivative of (x^2-1)^2 ?
The derivative of (x^2-1)^2 is 4x(x^2-1)
What is the first derivative of (x^2-1)^2 ?
The first derivative of (x^2-1)^2 is 4x(x^2-1)