WBJEE · Maths · Application of Derivatives
Consider the function f(x) = x(x - 1) (x - 2) ... (x - 100). Which one of the following is correct?
- A This function has 100 local maxima
- B This function has 50 local maxima
- C This function has 51 local maxima
- D Local minima do not exist for this function
Answer & Solution
Correct Answer
(B) This function has 50 local maxima
Step-by-step Solution
Detailed explanation
Hint : f(x) = x (x- 1) (x - 2) (x - 3) .... (x – 100) by studying the graph we can see that f(x) is taking maximum value at 50 points
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