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

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

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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

f (x) = cos (x) + sin (x)

- sin (x) + cos (x)

Solution steps

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (cos (x)) + \frac{d}{d x} (sin (x))

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

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

= - sin (x) + cos (x)

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