What is the derivative of sqrt(arctan(x/(\sqrt{3))}) ?

The derivative of sqrt(arctan(x/(\sqrt{3))}) is (sqrt(3))/(2sqrt(arctan(x/(\sqrt{3))))(x^2+3)}

What is the first derivative of sqrt(arctan(x/(\sqrt{3))}) ?

The first derivative of sqrt(arctan(x/(\sqrt{3))}) is (sqrt(3))/(2sqrt(arctan(x/(\sqrt{3))))(x^2+3)}

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Popular >

\frac{d}{d x} (arctan (\frac{x}{3}))

\frac{3}{2 arctan ( \frac{x}{3} ) ( x ^{2} + 3 )}

Solution steps

\frac{d}{d x} (arctan (\frac{x}{3}))

Apply the chain rule:

\frac{1}{2 arctan ( \frac{x}{3} )} \frac{d}{d x} (arctan (\frac{x}{3}))

= \frac{1}{2 arctan ( \frac{x}{3} )} \frac{d}{d x} (arctan (\frac{x}{3}))

\frac{d}{d x} (arctan (\frac{x}{3})) = \frac{3}{x ^{2} + 3}

= \frac{1}{2 arctan ( \frac{x}{3} )} \cdot \frac{3}{x ^{2} + 3}

Simplify

\frac{1}{2 arctan ( \frac{x}{3} )} \cdot \frac{3}{x ^{2} + 3} : \frac{3}{2 arctan ( \frac{x}{3} ) ( x ^{2} + 3 )}

= \frac{3}{2 arctan ( \frac{x}{3} ) ( x ^{2} + 3 )}

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

\frac{e ^{- s}}{s ^{2} - s + 1}

\frac{d y}{d t} + 20 y = 60, y (0) = 0

\frac{d}{d x} (e^{x 2 x + 1})

\frac{d}{d x} (2^{g (x)})

What is the derivative of sqrt(arctan(x/(\sqrt{3))}) ?
The derivative of sqrt(arctan(x/(\sqrt{3))}) is (sqrt(3))/(2sqrt(arctan(x/(\sqrt{3))))(x^2+3)}
What is the first derivative of sqrt(arctan(x/(\sqrt{3))}) ?
The first derivative of sqrt(arctan(x/(\sqrt{3))}) is (sqrt(3))/(2sqrt(arctan(x/(\sqrt{3))))(x^2+3)}