What is the derivative of sqrt(169-x^2) ?

The derivative of sqrt(169-x^2) is -x/(sqrt(169-x^2))

What is the first derivative of sqrt(169-x^2) ?

The first derivative of sqrt(169-x^2) is -x/(sqrt(169-x^2))

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\frac{d}{d x} (169 - x^{2})

- \frac{x}{169 - x ^{2}}

Solution steps

\frac{d}{d x} (169 - x^{2})

Apply the chain rule:

\frac{1}{2 169 - x ^{2}} \frac{d}{d x} (169 - x^{2})

= \frac{1}{2 169 - x ^{2}} \frac{d}{d x} (169 - x^{2})

\frac{d}{d x} (169 - x^{2}) = - 2 x

= \frac{1}{2 169 - x ^{2}} (- 2 x)

Simplify

\frac{1}{2 169 - x ^{2}} (- 2 x) : - \frac{x}{169 - x ^{2}}

= - \frac{x}{169 - x ^{2}}

\frac{\partial}{\partial x} (ln (2 x + y))

\frac{1}{x}

x^{2} - 18 x + 1

\frac{6 s ^{2} + 8}{s ( s ^{2} + 4 )}

What is the derivative of sqrt(169-x^2) ?
The derivative of sqrt(169-x^2) is -x/(sqrt(169-x^2))
What is the first derivative of sqrt(169-x^2) ?
The first derivative of sqrt(169-x^2) is -x/(sqrt(169-x^2))