Definition of the derivative: P(t) = 1 / 1 + e^-t

[tblaze72]

Okay this is pretty tricky:

P(t) = 1 / 1 + e^-t

a. Using delta t = + or - 0.5 and the definition of the derivative, find both an over and under estimate for P'(2). What is a bound on the error for these approximations?

It's been a year since I've taken calculus 1 so I it's hard for me to remember what to do exactly. I watched videos and this question still does not quite make sense to me. Can anyone help me out?

 

[Deleted member 4993]

Okay this is pretty tricky:

P(t) = 1 / (1 + e^-t) ................... Those () are very important

a. Using delta t = + or - 0.5 and the definition of the derivative, find both an over and under estimate for P'(2). What is a bound on the error for these approximations?

It's been a year since I've taken calculus 1 so I it's hard for me to remember what to do exactly. I watched videos and this question still does not quite make sense to me. Can anyone help me out?

What is the definition of derivative ... what does your textbook/class-notes say?

What are your thoughts?

Please share your work with us ...even if you know it is wrong

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