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October 15th, 2018, 06:49 AM   #1
Joined: Oct 2015
From: algeria

Posts: 4
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Directional derivative of exponential of a function

I have a trouble of a directional derivative of a function :

for a function f and a tangent vector field X of a manifold M, we have


From this above formula, is it true that :


If it not true, what is X(e^{-f})?
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