What is the derivative of (arctan(3x))^2 ?

The derivative of (arctan(3x))^2 is (6arctan(3x))/(9x^2+1)

What is the first derivative of (arctan(3x))^2 ?

The first derivative of (arctan(3x))^2 is (6arctan(3x))/(9x^2+1)

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derivative of

(arctan (3 x))^{2}

\frac{6 arctan ( 3 x )}{9 x ^{2} + 1}

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (arctan (3 x)) = \frac{3}{9 x ^{2} + 1}

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

Simplify

2 arctan (3 x) \frac{3}{9 x ^{2} + 1} : \frac{6 arctan ( 3 x )}{9 x ^{2} + 1}

= \frac{6 arctan ( 3 x )}{9 x ^{2} + 1}

\int \frac{1}{x ^{2} - 8 x + 20} d x

\int e^{- s x} d x

\frac{d}{d x} (\frac{x ^{4}}{8} + \frac{x ^{- 2}}{4})

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

\frac{d y}{d x} = 2 x + y, y (0) = 4

What is the derivative of (arctan(3x))^2 ?
The derivative of (arctan(3x))^2 is (6arctan(3x))/(9x^2+1)
What is the first derivative of (arctan(3x))^2 ?
The first derivative of (arctan(3x))^2 is (6arctan(3x))/(9x^2+1)