CUET Preparation Today
The largest value of $f(x)=\frac{x^3}{3}-abx$ occurs at x = |
G.M. of a, b A.M. of a, b H.M. of a, b None of these |
G.M. of a, b |
For $f(x)=\frac{x^3}{3}-abx$ to be least, we have $f'(x)=x^2-ab=0⇒x=\sqrt{ab}$ $f''(x) > 0$ for $x=\sqrt{ab}$ ∴ f(x) has minimum at $x=\sqrt{ab}$ which is the G.M. of a, b |
