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The derivative of the function/ 3sinx/3

Derivative of 3sinx/3

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
3*sin(x)
--------
   3
3sin⁡(x)3\frac{3 \sin{\left(x \right)}}{3} 
(3*sin(x))/3
Detail solution

  1. The derivative of a constant times a function is the constant times the derivative of the function.

    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: 3cos⁡(x)3 \cos{\left(x \right)}

    So, the result is: cos⁡(x)\cos{\left(x \right)}

The answer is:

cos⁡(x)\cos{\left(x \right)}

The graph
02468-8-6-4-2-10102-2
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
cos(x)
cos⁡(x)\cos{\left(x \right)}
Simplify
The second derivative [src] 
-sin(x)
−sin⁡(x)- \sin{\left(x \right)}
Simplify
The third derivative [src] 
-cos(x)
−cos⁡(x)- \cos{\left(x \right)}
Simplify
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