Mister Exam

Derivative of i*n*sin(x)

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
I*n*sin(x)
insin(x)i n \sin{\left(x \right)}
(i*n)*sin(x)
Detail solution
  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:

      ddxsin(x)=cos(x)\frac{d}{d x} \sin{\left(x \right)} = \cos{\left(x \right)}

    So, the result is: incos(x)i n \cos{\left(x \right)}


The answer is:

incos(x)i n \cos{\left(x \right)}

The first derivative [src]
I*n*cos(x)
incos(x)i n \cos{\left(x \right)}
The second derivative [src]
-I*n*sin(x)
insin(x)- i n \sin{\left(x \right)}
The third derivative [src]
-I*n*cos(x)
incos(x)- i n \cos{\left(x \right)}