What is the derivative of arctan(x/6) ?

The derivative of arctan(x/6) is 6/(x^2+36)

What is the first derivative of arctan(x/6) ?

The first derivative of arctan(x/6) is 6/(x^2+36)

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derivative of

arctan (\frac{x}{6})

\frac{6}{x ^{2} + 36}

Solution steps

\frac{d}{d x} (arctan (\frac{x}{6}))

Apply the chain rule:

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

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

\frac{d}{d x} (\frac{x}{6}) = \frac{1}{6}

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

Simplify

\frac{1}{( \frac{x}{6} ) ^{2} + 1} \cdot \frac{1}{6} : \frac{6}{x ^{2} + 36}

= \frac{6}{x ^{2} + 36}

\int_{- 1}^{3} 3 x d x

\frac{\partial}{\partial x} (π \cdot x x^{2} + y^{2})

\frac{d}{d x} (ln (\frac{1}{6 + x}))

x \to 2 lim (x + 1)

\int \frac{x ^{2}}{3 x ^{2} + 4} d x

What is the derivative of arctan(x/6) ?
The derivative of arctan(x/6) is 6/(x^2+36)
What is the first derivative of arctan(x/6) ?
The first derivative of arctan(x/6) is 6/(x^2+36)