If a>0 and f(x) = e^x - ax, then the minimum value of f is?
- F(ln a)
- f(a)
- f(e^x)
- f(1/a)
Explanation
f(x) = e^x - ax makes a U-shape because e^x is always curving up.
U-shape has only 1 lowest point at x = ln a.
So the minimum value = f(ln a) = a - a ln a
Last verified on 04-06-2026
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