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The derivative of the function/ i*n*sin(x)

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