What is the derivative of sqrt((4-x^2/4)) ?

The derivative of sqrt((4-x^2/4)) is -x/(2sqrt(4-x^2))

What is the first derivative of sqrt((4-x^2/4)) ?

The first derivative of sqrt((4-x^2/4)) is -x/(2sqrt(4-x^2))

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\frac{d}{d x} (\frac{4 - x ^{2}}{4})

- \frac{x}{2 4 - x ^{2}}

Solution steps

\frac{d}{d x} (\frac{4 - x ^{2}}{4})

Apply the chain rule:

\frac{1}{2 \frac{4 - x ^{2}}{4}} \frac{d}{d x} (\frac{4 - x ^{2}}{4})

= \frac{1}{2 \frac{4 - x ^{2}}{4}} \frac{d}{d x} (\frac{4 - x ^{2}}{4})

\frac{d}{d x} (\frac{4 - x ^{2}}{4}) = - \frac{x}{2}

= \frac{1}{2 \frac{4 - x ^{2}}{4}} (- \frac{x}{2})

Simplify

\frac{1}{2 \frac{4 - x ^{2}}{4}} (- \frac{x}{2}) : - \frac{x}{2 4 - x ^{2}}

= - \frac{x}{2 4 - x ^{2}}

\int 3^{x} x^{2} d x

x \to 4 lim (x - 3)

\frac{6}{x ^{6}}

x \to 6 + lim (\frac{∣ x - 6 ∣}{x - 6})

\frac{d}{d E} (E i)

What is the derivative of sqrt((4-x^2/4)) ?
The derivative of sqrt((4-x^2/4)) is -x/(2sqrt(4-x^2))
What is the first derivative of sqrt((4-x^2/4)) ?
The first derivative of sqrt((4-x^2/4)) is -x/(2sqrt(4-x^2))