Mister Exam

Derivative of cos(x)

Find the 119th derivative for f(x) = cos(x) and f(x) = sin(x) respectively

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
cos(x)
cos(x)\cos{\left(x \right)}
d         
--(cos(x))
dx        
ddxcos(x)\frac{d}{d x} \cos{\left(x \right)}
Detail solution
  1. The derivative of cosine is negative sine:

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


The answer is:

sin(x)- \sin{\left(x \right)}

The graph
02468-8-6-4-2-10102-2
The first derivative [src]
-sin(x)
sin(x)- \sin{\left(x \right)}
The second derivative [src]
-cos(x)
cos(x)- \cos{\left(x \right)}
The third derivative [src]
sin(x)
sin(x)\sin{\left(x \right)}
The graph
Derivative of cos(x)