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Popular >

derivative of sqrt(16x-x^2)

Solution

\frac{d}{d x} (16 x - x^{2})

Solution

\frac{8 - x}{16 x - x ^{2}}

Solution steps

\frac{d}{d x} (16 x - x^{2})

Apply the chain rule:

\frac{1}{2 16 x - x ^{2}} \frac{d}{d x} (16 x - x^{2})

= \frac{1}{2 16 x - x ^{2}} \frac{d}{d x} (16 x - x^{2})

\frac{d}{d x} (16 x - x^{2}) = 16 - 2 x

= \frac{1}{2 16 x - x ^{2}} (16 - 2 x)

Simplify

\frac{1}{2 16 x - x ^{2}} (16 - 2 x) : \frac{8 - x}{16 x - x ^{2}}

= \frac{8 - x}{16 x - x ^{2}}

Popular Examples

t^2y^{''}+7ty^'+9y=0

t^{2} y^{^{''}} + 7 t y^{^{'}} + 9 y = 0

integral of (x^5)/((x^3+1)^2)

\int \frac{x ^{5}}{( x ^{3} + 1 ) ^{2}} d x

limit as x approaches 1 of cos(pi/2 x)

x \to 1 lim (cos (\frac{π}{2} x))

derivative of (x-5^{2/3})

\frac{d}{d x} ((x - 5)^{\frac{2}{3}})

derivative of arcsin(-3x)

\frac{d}{d x} (arcsin (- 3 x))

Frequently Asked Questions (FAQ)

What is the derivative of sqrt(16x-x^2) ?
The derivative of sqrt(16x-x^2) is (8-x)/(sqrt(16x-x^2))
What is the first derivative of sqrt(16x-x^2) ?
The first derivative of sqrt(16x-x^2) is (8-x)/(sqrt(16x-x^2))