What is the derivative of 6tan^2(3x) ?

The derivative of 6tan^2(3x) is 36sec^2(3x)tan(3x)

What is the first derivative of 6tan^2(3x) ?

The first derivative of 6tan^2(3x) is 36sec^2(3x)tan(3x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

\frac{d}{d x} (6 tan^{2} (3 x))

36 sec^{2} (3 x) tan (3 x)

Solution steps

\frac{d}{d x} (6 tan^{2} (3 x))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 6 \frac{d}{d x} (tan^{2} (3 x))

Apply the chain rule:

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

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

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

= 6 \cdot 2 tan (3 x) sec^{2} (3 x) \cdot 3

Simplify

= 36 sec^{2} (3 x) tan (3 x)

What is the derivative of 6tan^2(3x) ?
The derivative of 6tan^2(3x) is 36sec^2(3x)tan(3x)
What is the first derivative of 6tan^2(3x) ?
The first derivative of 6tan^2(3x) is 36sec^2(3x)tan(3x)