Mister Exam

Derivative of 4-4sint

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
4 - 4*sin(t)
$$4 - 4 \sin{\left(t \right)}$$
4 - 4*sin(t)
Detail solution
  1. Differentiate term by term:

    1. The derivative of the constant is zero.

    2. 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 result is:


The answer is:

The graph
The first derivative [src]
-4*cos(t)
$$- 4 \cos{\left(t \right)}$$
The second derivative [src]
4*sin(t)
$$4 \sin{\left(t \right)}$$
The third derivative [src]
4*cos(t)
$$4 \cos{\left(t \right)}$$