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Popular >

derivative of sqrt(x^2-cx)

Solution

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

Solution

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

Popular Examples

derivative of 3/(2x^2)

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

ln(x)(dy)/(dx)+y/x =xln(x)

ln (x) \frac{d y}{d x} + \frac{y}{x} = x ln (x)

derivative of (3-5x^5)

\frac{d}{d x} ((3 - 5 x)^{5})

derivative of (x^4/(x-1))

\frac{d}{d x} (\frac{x ^{4}}{x - 1})

area x=(12-y^2)/4 ,x=y area

x = \frac{12 - y ^{2}}{4}, x = y

Frequently Asked Questions (FAQ)

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