Show that has a maximum value when
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You need so show that
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Equate to zero and solve. For the x values you obtain, substitute back into f(x) and see which x value gives a higher y-value. You can now prove what is being asked.
Hello varunnayudu Originally Posted by varunnayudu Show that has a maximum value when You might find it easier to use the formula before differentiating. This means you don't get any powers of 2. Instead you get: when
Then use the fact that or or , etc.
Taking the first one of these possibilities gives
Now differentiate and show that this value of gives a maximum value of .
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