Mister Exam

Other calculators

The derivative of the function/ -1/2sinx/2

Derivative of -1/2sinx/2

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
/-sin(x) \
|--------|
\   2    /
----------
    2
$$\frac{\left(-1\right) \frac{1}{2} \sin{\left(x \right)}}{2}$$ 
(-sin(x)/2)/2
Detail solution

  1. The derivative of a constant times a function is the constant times the derivative of the function.

    1. The derivative of a constant times a function is the constant times the derivative of the function.

      1. The derivative of sine is cosine:

      So, the result is:

    So, the result is:

The answer is:

The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
-cos(x) 
--------
   4
$$- \frac{\cos{\left(x \right)}}{4}$$
Simplify
The second derivative [src] 
sin(x)
------
  4
$$\frac{\sin{\left(x \right)}}{4}$$
Simplify
The third derivative [src] 
cos(x)
------
  4
$$\frac{\cos{\left(x \right)}}{4}$$
Simplify
    © Mister Exam – Calculator