Find minimum value of 2^sin x + 2^cos x?

How to do this? Any particular method?

I tried finding dy/dx and setting it to zero. That gave me a relation (2^sin x)/(2^cos x) = tan x(I couldnt find out x from this). Please help?

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- Aug 28th 2008, 07:34 AMfardeen_genFind minimum value of...?
Find minimum value of 2^sin x + 2^cos x?

How to do this? Any particular method?

I tried finding dy/dx and setting it to zero. That gave me a relation (2^sin x)/(2^cos x) = tan x(I couldnt find out x from this). Please help? - Aug 28th 2008, 04:59 PMmr fantastic
- Aug 28th 2008, 08:26 PMfardeen_gen
I don't.

- Aug 29th 2008, 12:37 AMwingless
Do you see that this function is periodic?

- Aug 29th 2008, 01:02 AMwingless

One obvious attempt to solve this equation is . The solution set to this equation is . One of these is maximum and the other is minimum. Note that there are infinitely many maximums and minimums, as the function has a period of . - Aug 29th 2008, 02:33 AMMoo