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Popular >

derivative of sqrt(2cx-x^2)

Solution

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

Solution

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

Graph

Popular Examples

derivative of e^{-x}sin(y)

\frac{d}{d x} (e^{- x} sin (y))

derivative of e^{-18x}

\frac{d}{d x} (e^{- 18 x})

(\partial)/(\partial x)(sqrt(4+x^2))

\frac{\partial}{\partial x} (4 + x^{2})

derivative of e^{-x}-e^xx

\frac{d}{d x} (e^{- x} - e^{x} x)

derivative of x^4+4e^x

\frac{d}{d x} (x^{4} + 4 e^{x})

Frequently Asked Questions (FAQ)

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