What is the derivative of arctan(3x) ?

The derivative of arctan(3x) is 3/(9x^2+1)

What is the first derivative of arctan(3x) ?

The first derivative of arctan(3x) is 3/(9x^2+1)

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derivative of

arctan (3 x)

\frac{3}{9 x ^{2} + 1}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

\frac{1}{( 3 x ) ^{2} + 1} \cdot 3 : \frac{3}{9 x ^{2} + 1}

= \frac{3}{9 x ^{2} + 1}

\int cos^{4} (2 θ) d θ

\frac{d}{d x} (e^{a x} cos (- b x))

\int_{1}^{3} x 2^{(x^{2})} d x

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

h \to \infty lim (h^{2} - 3 h)

What is the derivative of arctan(3x) ?
The derivative of arctan(3x) is 3/(9x^2+1)
What is the first derivative of arctan(3x) ?
The first derivative of arctan(3x) is 3/(9x^2+1)