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

The derivative of (arctan(2x))^2 is (4arctan(2x))/(4x^2+1)

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

The first derivative of (arctan(2x))^2 is (4arctan(2x))/(4x^2+1)

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derivative of

(arctan (2 x))^{2}

\frac{4 arctan ( 2 x )}{4 x ^{2} + 1}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

x = 3 y, x = y^{2} - 10

\int_{0}^{R} \frac{x}{1 + x ^{2}} d x

2 y^{^{''}} - 5 y^{^{'}} - 3 y = 0

\int \frac{i n ^{2} x}{x} d x

\frac{\partial}{\partial x} (3 x^{4} y^{2} + 1)

What is the derivative of (arctan(2x))^2 ?
The derivative of (arctan(2x))^2 is (4arctan(2x))/(4x^2+1)
What is the first derivative of (arctan(2x))^2 ?
The first derivative of (arctan(2x))^2 is (4arctan(2x))/(4x^2+1)