If f(x) = ln(1+e^2x), find f'(0).

1 Answer

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hkj1385 | (Level 1) Assistant Educator

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`f(x) = ln(1 + e^(2x))`

`f'(x) = {1/(1+e^(2x))}*(2*e^(2x))`

`Now, f'(0) = {1/(1+e^(0))}*(2*e^(0))`

`or, f'(0) = (1/2)*2 = 1`

Note:- 

`e^0 = 1`