Teaching DSSSB PGT Mock Test 2025 Mathematics Differential Calculus Applications of Derivatives

Let f be a twice differentiable function on (1, 6). If f(2) = 8, f'(2) = 5, f'(x) ≥ 1 and f''(x) ≥ 4, for all x ∈ (1, 6) then

1
f(5) ≤ 10
2
f'(5) + f''(5) ≤ 20
3
f(5) + f'(5) ≥ 28
4
f(5) + f' (5) ≤ 26
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