JEE Main 2013 Mathematics question

MathematicsApplication of DerivativesJEE Main 2013

Let f(1) = −2 and f′(x) ≥ 4.2 for 1 ≤ x ≤ 6. The possible value of f(6) lies in the interval :

Answer: (4)

Solution

By the mean value theorem, , so , option (4).

Question ID VK-104244