Mister Exam

Derivative of z*cosz

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
z*cos(z)
$$z \cos{\left(z \right)}$$
z*cos(z)
Detail solution
  1. Apply the product rule:

    ; to find :

    1. Apply the power rule: goes to

    ; to find :

    1. The derivative of cosine is negative sine:

    The result is:


The answer is:

The graph
The first derivative [src]
-z*sin(z) + cos(z)
$$- z \sin{\left(z \right)} + \cos{\left(z \right)}$$
The second derivative [src]
-(2*sin(z) + z*cos(z))
$$- (z \cos{\left(z \right)} + 2 \sin{\left(z \right)})$$
The third derivative [src]
-3*cos(z) + z*sin(z)
$$z \sin{\left(z \right)} - 3 \cos{\left(z \right)}$$
The graph
Derivative of z*cosz