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Popular >

derivative of sqrt(x^2-y)

Solution

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

Solution

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

Popular Examples

tangent of ((4+x))/((x-2)),\at x=8 tangent of

\frac{( 4 + x )}{( x - 2 )}, at x = 8

tangent of 4/x tangent of

\frac{4}{x}

integral from 0 to pi/2 of-5cos^5(x)

\int_{0}^{\frac{π}{2}} - 5 cos^{5} (x) d x

derivative of sqrt(3-x^2)

\frac{d}{d x} (3 - x^{2})

sum from n=3 to infinity of 2/(n(n+3))

n = 3 \sum \infty \frac{2}{n ( n + 3 )}

Frequently Asked Questions (FAQ)

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