The greatest and least values of the function f(x) = ax + b$\sqrt{x}$ + c, when a > 0, b > 0, c > 0 in the interval [0, 1] are
Answer & explanation
Correct answer: option 1
$f'(x)=a+\frac{b}{2 \sqrt{x}}>0 ~\forall~ x \in[0,1]$
Therefore, this is an increasing function.
Hence f(x) will be minimum at 0 and maximum at x = 1