What is the derivative of tan(x^2-4x) ?

The derivative of tan(x^2-4x) is sec^2(x^2-4x)(2x-4)

What is the first derivative of tan(x^2-4x) ?

The first derivative of tan(x^2-4x) is sec^2(x^2-4x)(2x-4)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

sec^{2} (x^{2} - 4 x) (2 x - 4)

Solution steps

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

Apply the chain rule:

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

= sec^{2} (x^{2} - 4 x) \frac{d}{d x} (x^{2} - 4 x)

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

= sec^{2} (x^{2} - 4 x) (2 x - 4)

What is the derivative of tan(x^2-4x) ?
The derivative of tan(x^2-4x) is sec^2(x^2-4x)(2x-4)
What is the first derivative of tan(x^2-4x) ?
The first derivative of tan(x^2-4x) is sec^2(x^2-4x)(2x-4)