What is the derivative of sqrt(8-x^2) ?

The derivative of sqrt(8-x^2) is -x/(sqrt(8-x^2))

What is the first derivative of sqrt(8-x^2) ?

The first derivative of sqrt(8-x^2) is -x/(sqrt(8-x^2))

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\frac{d}{d x} (8 - x^{2})

- \frac{x}{8 - x ^{2}}

Solution steps

\frac{d}{d x} (8 - x^{2})

Apply the chain rule:

\frac{1}{2 8 - x ^{2}} \frac{d}{d x} (8 - x^{2})

= \frac{1}{2 8 - x ^{2}} \frac{d}{d x} (8 - x^{2})

\frac{d}{d x} (8 - x^{2}) = - 2 x

= \frac{1}{2 8 - x ^{2}} (- 2 x)

Simplify

\frac{1}{2 8 - x ^{2}} (- 2 x) : - \frac{x}{8 - x ^{2}}

= - \frac{x}{8 - x ^{2}}

y = (t)^{t}

x \to \frac{1}{3} lim (\frac{x + 3}{x + 4})

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

x \to - 3 lim (\frac{x ^{2} + x}{x + 3})

\int 3 y^{3} e^{x y} d x

What is the derivative of sqrt(8-x^2) ?
The derivative of sqrt(8-x^2) is -x/(sqrt(8-x^2))
What is the first derivative of sqrt(8-x^2) ?
The first derivative of sqrt(8-x^2) is -x/(sqrt(8-x^2))