What is (\partial)/(\partial x)(-sin(4x)) ?

The answer to (\partial)/(\partial x)(-sin(4x)) is -cos(4x)*4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(\partial)/(\partial x)(-sin(4x))

\frac{\partial}{\partial x} (- sin (4 x))

- cos (4 x) \cdot 4

Solution steps

\frac{\partial}{\partial x} (- sin (4 x))

Take the constant out:

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

= - \frac{\partial}{\partial x} (sin (4 x))

Apply the chain rule:

cos (4 x) \frac{\partial}{\partial x} (4 x)

= cos (4 x) \frac{\partial}{\partial x} (4 x)

\frac{\partial}{\partial x} (4 x) = 4

= - cos (4 x) \cdot 4

What is (\partial)/(\partial x)(-sin(4x)) ?
The answer to (\partial)/(\partial x)(-sin(4x)) is -cos(4x)*4