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5*sin(x)
The derivative of the function/ 5*sin(x)

Derivative of 5*sin(x)

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
5*sin(x)
$$5 \sin{\left(x \right)}$$ 
5*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:

    So, the result is:

The answer is:

The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
5*cos(x)
$$5 \cos{\left(x \right)}$$
Simplify
The second derivative [src] 
-5*sin(x)
$$- 5 \sin{\left(x \right)}$$
Simplify
The third derivative [src] 
-5*cos(x)
$$- 5 \cos{\left(x \right)}$$
Simplify
The graph
Derivative of 5*sin(x)
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