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Popular >

derivative of sqrt(36-y^2)

Solution

derivative of

36 - y^{2}

Solution

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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