The discussion centers on finding the antiderivative of the function defined by the derivative f'(x) = |x - 2|. Participants clarify that the absolute value function can be expressed as two separate cases: f'(x) = x - 2 for x ≥ 2 and f'(x) = -(x - 2) for x < 2. The original function can be derived by integrating these cases separately, leading to a piecewise function. This understanding is crucial for accurately sketching the graph of the original function.
PREREQUISITESStudents studying calculus, particularly those learning about derivatives and integration, as well as educators seeking to explain the concept of antiderivatives involving absolute values.
martin123 said:Homework Statement
If f'(x)=abs(x-2) draw a possible grpah of the original function.
The Attempt at a Solution
I can't remember how to find the antiderivative of an absolute value.
Cant some one please enlight me?