Derivative of insin(x)

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I*n*sin(x)

$$i n \sin{\left(x \right)}$$

(i*n)*sin(x)

Detail solution

The derivative of a constant times a function is the constant times the derivative of the function.
1. The derivative of sine is cosine:
  
  $\frac{d}{d x} \sin{\left(x \right)} = \cos{\left(x \right)}$
So, the result is: $i n \cos{\left(x \right)}$

The answer is:

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

The first derivative [src]

I*n*cos(x)

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

Simplify

The second derivative [src]

-I*n*sin(x)

$$- i n \sin{\left(x \right)}$$

Simplify

The third derivative [src]

-I*n*cos(x)

$$- i n \cos{\left(x \right)}$$

Simplify

Derivative of i*n*sin(x)