Exercise
Find the derivative of the following function:
f(x)={(1+e^{-x})}^7
Final Answer
Solution
Using Derivative formulas and chain rule in Derivative Rules, we get the derivative:
f'(x)=7{(1+e^{-x})}^6\cdot (1+e^{-x})'=
=7{(1+e^{-x})}^6\cdot (-e^{-x})=
=-7e^{-x}{(1+e^{-x})}^6
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