Derivative of pi/4cosx

You have entered [src]

pi       
--*cos(x)
4

$$\frac{\pi}{4} \cos{\left(x \right)}$$

(pi/4)*cos(x)

Detail solution

The derivative of a constant times a function is the constant times the derivative of the function.
1. The derivative of cosine is negative sine:
  
  $\frac{d}{d x} \cos{\left(x \right)} = - \sin{\left(x \right)}$
So, the result is: $- \frac{\pi \sin{\left(x \right)}}{4}$

The answer is:

$- \frac{\pi \sin{\left(x \right)}}{4}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

-pi*sin(x) 
-----------
     4

$$- \frac{\pi \sin{\left(x \right)}}{4}$$

Simplify

The second derivative [src]

-pi*cos(x) 
-----------
     4

$$- \frac{\pi \cos{\left(x \right)}}{4}$$

Simplify

The third derivative [src]

pi*sin(x)
---------
    4

$$\frac{\pi \sin{\left(x \right)}}{4}$$

Simplify