Mister Exam

Derivative of x*sin(1)/x

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
x*sin(1)
--------
   x    
$$\frac{x \sin{\left(1 \right)}}{x}$$
(x*sin(1))/x
Detail solution
  1. Apply the quotient rule, which is:

    and .

    To find :

    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:

    To find :

    1. Apply the power rule: goes to

    Now plug in to the quotient rule:


The answer is:

The graph
The first derivative [src]
0
$$0$$
The second derivative [src]
0
$$0$$
The third derivative [src]
0
$$0$$