engineering recuitment AAI ATC Junior Executive 2025 Mock Test Series Mathematics Differential Calculus Applications of Derivatives
Let the function, f : [-7, 0] → R be continuous on [−7, 0] and differentiable on (−7, 0). If f(-7)= −3 and f'(𝑥) ≤ 2, for all x ∈ (−7, 0), then for all such functions f, f(−1) + f(0) lies in the interval:
1
[-6, 20]
2
(-∞, 20]
3
(-∞, 11]
4
[-3, 11]