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3sinx
The derivative of the function/ 3sinx

Derivative of 3sinx

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
3*sin(x)
3sin⁡(x)3 \sin{\left(x \right)} 
3*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: 3cos⁡(x)3 \cos{\left(x \right)}

The answer is:

3cos⁡(x)3 \cos{\left(x \right)}

The graph
02468-8-6-4-2-10105-5
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
3*cos(x)
3cos⁡(x)3 \cos{\left(x \right)}
Simplify
The second derivative [src] 
-3*sin(x)
−3sin⁡(x)- 3 \sin{\left(x \right)}
Simplify
The third derivative [src] 
-3*cos(x)
−3cos⁡(x)- 3 \cos{\left(x \right)}
Simplify
The graph
Derivative of 3sinx
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