What is the derivative of sqrt(6-x^2) ?

The derivative of sqrt(6-x^2) is -x/(sqrt(6-x^2))

What is the first derivative of sqrt(6-x^2) ?

The first derivative of sqrt(6-x^2) is -x/(sqrt(6-x^2))

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\frac{d}{d x} (6 - x^{2})

- \frac{x}{6 - x ^{2}}

Solution steps

\frac{d}{d x} (6 - x^{2})

Apply the chain rule:

\frac{1}{2 6 - x ^{2}} \frac{d}{d x} (6 - x^{2})

= \frac{1}{2 6 - x ^{2}} \frac{d}{d x} (6 - x^{2})

\frac{d}{d x} (6 - x^{2}) = - 2 x

= \frac{1}{2 6 - x ^{2}} (- 2 x)

Simplify

\frac{1}{2 6 - x ^{2}} (- 2 x) : - \frac{x}{6 - x ^{2}}

= - \frac{x}{6 - x ^{2}}

\int (2 x + 1) (2 x - 1) d x

f (x) = \frac{e ^{- x}}{x}

\int \frac{cos ( x ^{2} )}{x} d x

(\frac{1}{2})^{x - 1} + 3

x \to 1 lim (- lo g_{10} (x - 1))

What is the derivative of sqrt(6-x^2) ?
The derivative of sqrt(6-x^2) is -x/(sqrt(6-x^2))
What is the first derivative of sqrt(6-x^2) ?
The first derivative of sqrt(6-x^2) is -x/(sqrt(6-x^2))