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

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

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

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

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

- 2 x

Solution steps

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

Simplify

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

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (2) = 0

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

= 0 - 2 x

Simplify

= - 2 x

y = \frac{2}{x - 2}, (6, \frac{2}{5})

\frac{\partial}{\partial x} ((x - y) (1 - x y))

\frac{d}{d x} (a x^{2} + b x^{2} + c)

\int ln (x) sin (x) d x

\int \frac{2}{x} - \frac{1}{x ^{2}} d x

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