Mister Exam

Other calculators

The derivative of the function/ cos(z)

Derivative of cos(z)

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
cos(z)
cos⁡(z)\cos{\left(z \right)} 
cos(z)
Detail solution

  1. The derivative of cosine is negative sine:

    ddzcos⁡(z)=−sin⁡(z)\frac{d}{d z} \cos{\left(z \right)} = - \sin{\left(z \right)}

The answer is:

−sin⁡(z)- \sin{\left(z \right)}

The graph
02468-8-6-4-2-10102-2
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
-sin(z)
−sin⁡(z)- \sin{\left(z \right)}
Simplify
The second derivative [src] 
-cos(z)
−cos⁡(z)- \cos{\left(z \right)}
Simplify
The third derivative [src] 
sin(z)
sin⁡(z)\sin{\left(z \right)}
Simplify
    © Mister Exam – Calculator