What is the derivative of tanh(x^2-9) ?

The derivative of tanh(x^2-9) is sech^2(x^2-9)*2x

What is the first derivative of tanh(x^2-9) ?

The first derivative of tanh(x^2-9) is sech^2(x^2-9)*2x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

\frac{d}{d x} (tanh (x^{2} - 9))

sech^{2} (x^{2} - 9) \cdot 2 x

Solution steps

\frac{d}{d x} (tanh (x^{2} - 9))

Apply the chain rule:

sech^{2} (x^{2} - 9) \frac{d}{d x} (x^{2} - 9)

= sech^{2} (x^{2} - 9) \frac{d}{d x} (x^{2} - 9)

\frac{d}{d x} (x^{2} - 9) = 2 x

= sech^{2} (x^{2} - 9) \cdot 2 x

What is the derivative of tanh(x^2-9) ?
The derivative of tanh(x^2-9) is sech^2(x^2-9)*2x
What is the first derivative of tanh(x^2-9) ?
The first derivative of tanh(x^2-9) is sech^2(x^2-9)*2x