Derivative of y = INX derivative of y = in * 2

Derivative of y = INX derivative of y = in * 2

e^x>0 e^y>0
e^x+e^y>=2√(e^x*e^y)=2√[e^(x+y)]=2e^[(x+y)/2]
So (e ^ x + e ^ y) / 2 > = e ^ (x + y) / 2 takes the equal sign if and only if x = y
When x ≠ y, (e ^ x + e ^ y) / 2 > e ^ (x + y) / 2 e ^ x > 0 e ^ y > 0
e^x+e^y>=2√(e^x*e^y)=2√[e^(x+y)]=2e^[(x+y)/2]
So (e ^ x + e ^ y) / 2 > = e ^ (x + y) / 2 takes the equal sign if and only if x = y
When x ≠ y, (e ^ x + e ^ y) / 2 > e ^ (x + y) / 2

Elden Ring Premiere

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