Question
Download Solution PDFThe function
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Maxima: A function f(x) is said to have a Maximum at x = c if there exist δ > 0 such that |x-c| < δ ; f(x) ≤ f(c).
Minima: A function f(x) is said to have a Minimum at x = c if there exist δ > 0 such that |x-c| < δ ; f(x) ≥ f(c).
Point of Inflection: The point at which a curve crosses its tangent is called the point of inflection. The function is neither maximum nor minimum at the point of inflection.
Calculation:
Given,
The function is
Since the above function is not defined for x = 0 so it is discontinuous at this point. As a result of this, the function f(x) will not be differentiable at x = 0
So, the correct answer will be option 1
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