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The derivative of the function/ pi/4cosx

Derivative of pi/4cosx

Function f() - derivative -N order at the point
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
pi       
--*cos(x)
4
π4cos⁡(x)\frac{\pi}{4} \cos{\left(x \right)} 
(pi/4)*cos(x)
Detail solution

  1. 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:

      ddxcos⁡(x)=−sin⁡(x)\frac{d}{d x} \cos{\left(x \right)} = - \sin{\left(x \right)}

    So, the result is: −πsin⁡(x)4- \frac{\pi \sin{\left(x \right)}}{4}

The answer is:

−πsin⁡(x)4- \frac{\pi \sin{\left(x \right)}}{4}

The graph
02468-8-6-4-2-10102-2
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
-pi*sin(x) 
-----------
     4
−πsin⁡(x)4- \frac{\pi \sin{\left(x \right)}}{4}
Simplify
The second derivative [src] 
-pi*cos(x) 
-----------
     4
−πcos⁡(x)4- \frac{\pi \cos{\left(x \right)}}{4}
Simplify
The third derivative [src] 
pi*sin(x)
---------
    4
πsin⁡(x)4\frac{\pi \sin{\left(x \right)}}{4}
Simplify
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