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The derivative of the function/ cos(1.5*pi)*x^2

Derivative of cos(1.5*pi)*x^2

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
   /3*pi\  2
cos|----|*x 
   \ 2  /
$$x^{2} \cos{\left(\frac{3 \pi}{2} \right)}$$ 
cos(3*pi/2)*x^2
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
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
       /3*pi\
2*x*cos|----|
       \ 2  /
$$2 x \cos{\left(\frac{3 \pi}{2} \right)}$$
Simplify
The second derivative [src] 
0
$$0$$
Simplify
The third derivative [src] 
0
$$0$$
Simplify
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