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

The derivative of sqrt(5-x^2) is -x/(sqrt(5-x^2))

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

The first derivative of sqrt(5-x^2) is -x/(sqrt(5-x^2))

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derivative of

5 - x^{2}

- \frac{x}{5 - x ^{2}}

Solution steps

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

Apply the chain rule:

\frac{1}{2 5 - x ^{2}} \frac{d}{d x} (5 - x^{2})

= \frac{1}{2 5 - x ^{2}} \frac{d}{d x} (5 - x^{2})

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

= \frac{1}{2 5 - x ^{2}} (- 2 x)

Simplify

\frac{1}{2 5 - x ^{2}} (- 2 x) : - \frac{x}{5 - x ^{2}}

= - \frac{x}{5 - x ^{2}}

\int_{- 2}^{2} \frac{1}{v} d v

x \to 0 + lim (x^{5 x})

y^{^{''}} - 9 y^{^{'}} + 18 y = e^{e^{- 3 x}}

\int - sin (- x + 2) d x

What is the derivative of sqrt(5-x^2) ?
The derivative of sqrt(5-x^2) is -x/(sqrt(5-x^2))
What is the first derivative of sqrt(5-x^2) ?
The first derivative of sqrt(5-x^2) is -x/(sqrt(5-x^2))