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

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

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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

\frac{3 x ^{2}}{x ^{6} + 1}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

= \frac{3 x ^{2}}{x ^{6} + 1}

e^{- s t} d t

\int 7 sin^{3} (x co) s^{7} x d x

\int (z + 1) e^{6 z} d z

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

\int 1 + 4 y^{2} d y

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