What is the derivative of e^{tan(3x}) ?

The derivative of e^{tan(3x}) is e^{tan(3x)}sec^2(3x)*3

What is the first derivative of e^{tan(3x}) ?

The first derivative of e^{tan(3x}) is e^{tan(3x)}sec^2(3x)*3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

\frac{d}{d x} (e^{t a n (3 x)})

e^{t a n (3 x)} sec^{2} (3 x) \cdot 3

Solution steps

\frac{d}{d x} (e^{t a n (3 x)})

Apply the chain rule:

e^{t a n (3 x)} \frac{d}{d x} (tan (3 x))

= e^{t a n (3 x)} \frac{d}{d x} (tan (3 x))

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

= e^{t a n (3 x)} sec^{2} (3 x) \cdot 3

What is the derivative of e^{tan(3x}) ?
The derivative of e^{tan(3x}) is e^{tan(3x)}sec^2(3x)*3
What is the first derivative of e^{tan(3x}) ?
The first derivative of e^{tan(3x}) is e^{tan(3x)}sec^2(3x)*3