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

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

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

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

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derivative of

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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