What is the derivative of cos(2^x) ?

The derivative of cos(2^x) is -sin(2^x)*2^xln(2)

What is the first derivative of cos(2^x) ?

The first derivative of cos(2^x) is -sin(2^x)*2^xln(2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

cos (2^{x})

- sin (2^{x}) \cdot 2^{x} ln (2)

Solution steps

\frac{d}{d x} (cos (2^{x}))

Apply the chain rule:

- sin (2^{x}) \frac{d}{d x} (2^{x})

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

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

= - sin (2^{x}) \cdot 2^{x} ln (2)

What is the derivative of cos(2^x) ?
The derivative of cos(2^x) is -sin(2^x)*2^xln(2)
What is the first derivative of cos(2^x) ?
The first derivative of cos(2^x) is -sin(2^x)*2^xln(2)