Mister Exam

Derivative of 4*sin(x)

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
4*sin(x)
4sin(x)4 \sin{\left(x \right)}
4*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: 4cos(x)4 \cos{\left(x \right)}


The answer is:

4cos(x)4 \cos{\left(x \right)}

The graph
02468-8-6-4-2-1010-1010
The first derivative [src]
4*cos(x)
4cos(x)4 \cos{\left(x \right)}
The second derivative [src]
-4*sin(x)
4sin(x)- 4 \sin{\left(x \right)}
The third derivative [src]
-4*cos(x)
4cos(x)- 4 \cos{\left(x \right)}
The graph
Derivative of 4*sin(x)