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What is the condition for a function f to be constant if f be continuous and differentiable on (a,b)?

Posted: Wed Jul 13, 2022 8:07 pm
by answerhappygod
a) f’(x) > 0 ∀ x1, x2 ∈ (a,b)
b) f’(x) < 0 ∀ x1, x2 ∈ (a,b)
c) f’(x) = 0 ∀ x1, x2 ∈ (a,b)
d) f’(x) ≤ 0 ∀ x1, x2 ∈ (a,b)