What is the derivative of f(x)=sin(cos(4x)) ?

The derivative of f(x)=sin(cos(4x)) is -4cos(cos(4x))sin(4x)

What is the first derivative of f(x)=sin(cos(4x)) ?

The first derivative of f(x)=sin(cos(4x)) is -4cos(cos(4x))sin(4x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

f (x) = sin (cos (4 x))

- 4 cos (cos (4 x)) sin (4 x)

Solution steps

\frac{d}{d x} (sin (cos (4 x)))

Apply the chain rule:

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

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

\frac{d}{d x} (cos (4 x)) = - sin (4 x) \cdot 4

= cos (cos (4 x)) (- sin (4 x) \cdot 4)

Simplify

= - 4 cos (cos (4 x)) sin (4 x)

\int 4 x cos (4 x) d x

\int (2^{x} - x^{2})^{2} d x

f (x) = 1.5 e^{0.76 x}

4 e^{(3 t)}

\frac{\partial}{\partial x} (x^{3} e^{x y} + 2 y)

What is the derivative of f(x)=sin(cos(4x)) ?
The derivative of f(x)=sin(cos(4x)) is -4cos(cos(4x))sin(4x)
What is the first derivative of f(x)=sin(cos(4x)) ?
The first derivative of f(x)=sin(cos(4x)) is -4cos(cos(4x))sin(4x)