What is the derivative of sqrt(36-x^2) ?

The derivative of sqrt(36-x^2) is -x/(sqrt(36-x^2))

What is the first derivative of sqrt(36-x^2) ?

The first derivative of sqrt(36-x^2) is -x/(sqrt(36-x^2))

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\frac{d}{d x} (36 - x^{2})

- \frac{x}{36 - x ^{2}}

Solution steps

\frac{d}{d x} (36 - x^{2})

Apply the chain rule:

\frac{1}{2 36 - x ^{2}} \frac{d}{d x} (36 - x^{2})

= \frac{1}{2 36 - x ^{2}} \frac{d}{d x} (36 - x^{2})

\frac{d}{d x} (36 - x^{2}) = - 2 x

= \frac{1}{2 36 - x ^{2}} (- 2 x)

Simplify

\frac{1}{2 36 - x ^{2}} (- 2 x) : - \frac{x}{36 - x ^{2}}

= - \frac{x}{36 - x ^{2}}

\frac{\partial}{\partial x} (y^{4} cos (4 x))

\frac{\partial}{\partial x} (e^{(x y)})

\int sin (t) e^{t} d t

\frac{12}{3 s - 5}

\frac{d ^{2}}{d x ^{2}} (\frac{6 π ^{2}}{6 - x})

What is the derivative of sqrt(36-x^2) ?
The derivative of sqrt(36-x^2) is -x/(sqrt(36-x^2))
What is the first derivative of sqrt(36-x^2) ?
The first derivative of sqrt(36-x^2) is -x/(sqrt(36-x^2))