MengXiong1
MengXiong1 MengXiong1
  • 11-03-2020
  • Mathematics
contestada

If f(x) = [tex]e^{x}[/tex], then ln(f' (2)) =
A) 2
B) 0
C) [tex]\frac{1}{e^{2} }[/tex]
D) 2e
E) [tex]e^{2}[/tex]

Respuesta :

ljusup ljusup
  • 17-03-2020

First we have to find derivative of f(x):

[tex]f(x)=e^x \Rightarrow f'(x)=e^x[/tex]

For x=2 we have:

[tex]f'(2)=e^2[/tex]

Now, [tex]\ln f'(2)=\ln e^2 = 2[/tex]

Hence, the answer is A) 2

Answer Link

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