Question

Find the values of ‘a’ for which f(x) = x² − 2аx + b is an increasing function for x > 0.

Answer 1

f(x) = x² − 2аx + b

Differentiate w.r.t.x,

f(x) = 2x − 2a

For increasinghg functiction,

f'(x) > 0

2x − 2a > 0

x > a

It is given that x > 0

a should be < 0