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

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

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

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

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

- 2 x

Solution steps

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

Simplify

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

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

\frac{d}{d x} (4) = 0

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

= 0 - 2 x

Simplify

= - 2 x

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