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

f’(x) ≤ 0 ∀ x1, x2 ∈ (a,b)

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,

?a) f’(x) > 0 ∀ x1, x2 ∈ (a,b)b) f’(x) < 0 ∀ x1, x2 ∈ (a,b)

f’(x) = 0 ∀ x1, x2 ∈ (a,b)

f’(x) ≤ 0 ∀ x1, x2 ∈ (a,b)

What is the condition for a function f to be constant if f be continu

1.	What is the condition for a function f to be constant if f be continuous and differentiable on (a,b)?
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.	?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)
Answer» D. f’(x) ≤ 0 ∀ x1, x2 ∈ (a,b)