Question
If f"(x) > 0 ∀ x ϵ R then for any two real numbers x1 and x2 , (x1 ≠ x2)
Answer: Option B
:
B
Let A = (x1,f(x1)) and B = (x2,f(x2)) be any two points on the graph of y = f(x).
Since f"(x) > 0, in the graph of the function tangent will always lie below the curve. Hence chord AB will lie completely above the graph of y = f(x).
Hence f(x1)+f(x2)2>f(x1+x22)
Was this answer helpful ?
:
B
Let A = (x1,f(x1)) and B = (x2,f(x2)) be any two points on the graph of y = f(x).
Since f"(x) > 0, in the graph of the function tangent will always lie below the curve. Hence chord AB will lie completely above the graph of y = f(x).
Hence f(x1)+f(x2)2>f(x1+x22)
Was this answer helpful ?
Latest Videos
Latest Test Papers
Submit Solution