Mister Exam

Other calculators

Derivative of sin^2(pi/4)x

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
   2/pi\  
sin |--|*x
    \4 /  
$$x \sin^{2}{\left(\frac{\pi}{4} \right)}$$
sin(pi/4)^2*x
Detail solution
  1. The derivative of a constant times a function is the constant times the derivative of the function.

    1. Apply the power rule: goes to

    So, the result is:

  2. Now simplify:


The answer is:

The graph
The first derivative [src]
   2/pi\
sin |--|
    \4 /
$$\sin^{2}{\left(\frac{\pi}{4} \right)}$$
The second derivative [src]
0
$$0$$
The third derivative [src]
0
$$0$$