What is the derivative of (x^2-7)^2 ?

The derivative of (x^2-7)^2 is 4x(x^2-7)

What is the first derivative of (x^2-7)^2 ?

The first derivative of (x^2-7)^2 is 4x(x^2-7)

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derivative of

(x^{2} - 7)^{2}

4 x (x^{2} - 7)

Solution steps

\frac{d}{d x} ((x^{2} - 7)^{2})

Apply the chain rule:

2 (x^{2} - 7) \frac{d}{d x} (x^{2} - 7)

= 2 (x^{2} - 7) \frac{d}{d x} (x^{2} - 7)

\frac{d}{d x} (x^{2} - 7) = 2 x

= 2 (x^{2} - 7) \cdot 2 x

Simplify

= 4 x (x^{2} - 7)

What is the derivative of (x^2-7)^2 ?
The derivative of (x^2-7)^2 is 4x(x^2-7)
What is the first derivative of (x^2-7)^2 ?
The first derivative of (x^2-7)^2 is 4x(x^2-7)