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Popular >

derivative of-sqrt(x^2+y^2)-10

Solution

\frac{d}{d x} (- x^{2} + y^{2} - 10)

Solution

- \frac{x + y \frac{d y}{d x}}{x ^{2} + y ^{2}}

Solution steps

\frac{d}{d x} (- x^{2} + y^{2} - 10)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= - \frac{d}{d x} (x^{2} + y^{2}) - \frac{d}{d x} (10)

\frac{d}{d x} (x^{2} + y^{2}) = \frac{x + y \frac{d y}{d x}}{x ^{2} + y ^{2}}

\frac{d}{d x} (10) = 0

= - \frac{x + y \frac{d y}{d x}}{x ^{2} + y ^{2}} - 0

Simplify

= - \frac{x + y \frac{d y}{d x}}{x ^{2} + y ^{2}}

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x \to - \infty lim (arccos (x))

Frequently Asked Questions (FAQ)

What is the derivative of-sqrt(x^2+y^2)-10 ?
The derivative of-sqrt(x^2+y^2)-10 is -(x+y\frac{dy)/(dx)}{sqrt(x^2+y^2)}
What is the first derivative of-sqrt(x^2+y^2)-10 ?
The first derivative of-sqrt(x^2+y^2)-10 is -(x+y\frac{dy)/(dx)}{sqrt(x^2+y^2)}