JEE Main 2018 Mathematics question

MathematicsApplication of DerivativesJEE Main 2018

Let M and m be respectively the absolute maximum and the absolute minimum values of the function, in the interval [0, 3]. Then M – m is equal to -

Answer: (D)

Solution

f(0) = 5, f(1) = 10, f(2) = 9, f(3) = 14, so M = 14 and m = 5, giving M – m = 9. The printed key (A) uses the local extrema only.

Question ID VK-009197