Derivative of sqrt(2)*sin(x)

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  ___       
\/ 2 *sin(x)

$$\sqrt{2} \sin{\left(x \right)}$$

d /  ___       \
--\\/ 2 *sin(x)/
dx

$$\frac{d}{d x} \sqrt{2} \sin{\left(x \right)}$$

Transform

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: $\sqrt{2} \cos{\left(x \right)}$

The answer is:

$\sqrt{2} \cos{\left(x \right)}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

  ___       
\/ 2 *cos(x)

$$\sqrt{2} \cos{\left(x \right)}$$

Simplify

The second derivative [src]

   ___       
-\/ 2 *sin(x)

$$- \sqrt{2} \sin{\left(x \right)}$$

Simplify

The third derivative [src]

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-\/ 2 *cos(x)

$$- \sqrt{2} \cos{\left(x \right)}$$

Simplify

The graph