What is the derivative of (4-x^2)^5 ?

The derivative of (4-x^2)^5 is -10x(4-x^2)^4

What is the first derivative of (4-x^2)^5 ?

The first derivative of (4-x^2)^5 is -10x(4-x^2)^4

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derivative of

(4 - x^{2})^{5}

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

Solution steps

\frac{d}{d x} ((4 - x^{2})^{5})

Apply the chain rule:

5 (4 - x^{2})^{4} \frac{d}{d x} (4 - x^{2})

= 5 (4 - x^{2})^{4} \frac{d}{d x} (4 - x^{2})

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

= 5 (4 - x^{2})^{4} (- 2 x)

Simplify

= - 10 x (4 - x^{2})^{4}

What is the derivative of (4-x^2)^5 ?
The derivative of (4-x^2)^5 is -10x(4-x^2)^4
What is the first derivative of (4-x^2)^5 ?
The first derivative of (4-x^2)^5 is -10x(4-x^2)^4