Practicing Success
Practicing Success
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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 |
a + b + c and c a/2 b$\sqrt{2}$ + c, c $\frac{a+b+c}{\sqrt{2}}, c$ None of these |
a + b + c and c |
$f'(x)=a+\frac{b}{2 \sqrt{x}}>0 ~\forall~ x \in[0,1]$ Hence f(x) will be minimum at 0 and maximum at x = 1 |
