What is the derivative of sqrt(5x-x^2) ?

The derivative of sqrt(5x-x^2) is (5-2x)/(2sqrt(5x-x^2))

What is the first derivative of sqrt(5x-x^2) ?

The first derivative of sqrt(5x-x^2) is (5-2x)/(2sqrt(5x-x^2))

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\frac{d}{d x} (5 x - x^{2})

\frac{5 - 2 x}{2 5 x - x ^{2}}

Solution steps

\frac{d}{d x} (5 x - x^{2})

Apply the chain rule:

\frac{1}{2 5 x - x ^{2}} \frac{d}{d x} (5 x - x^{2})

= \frac{1}{2 5 x - x ^{2}} \frac{d}{d x} (5 x - x^{2})

\frac{d}{d x} (5 x - x^{2}) = 5 - 2 x

= \frac{1}{2 5 x - x ^{2}} (5 - 2 x)

Simplify

\frac{1}{2 5 x - x ^{2}} (5 - 2 x) : \frac{5 - 2 x}{2 5 x - x ^{2}}

= \frac{5 - 2 x}{2 5 x - x ^{2}}

x \to 3 lim (7)

x \to 1 + lim (\frac{x ^{2} - 1}{x - 1})

y^{^{'}} = \frac{2 - e ^{x}}{3 + 2 y}

x \to 7 lim (\frac{x - 7}{x - 4 - 3})

\int e^{\frac{- x}{10}} d x

What is the derivative of sqrt(5x-x^2) ?
The derivative of sqrt(5x-x^2) is (5-2x)/(2sqrt(5x-x^2))
What is the first derivative of sqrt(5x-x^2) ?
The first derivative of sqrt(5x-x^2) is (5-2x)/(2sqrt(5x-x^2))