SOLUTION: please help me with this problem:
Differentiate: y = {{{ln(x^2 + 1) + (x + 1)/(e^x + 1)}}}
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Question 1031665: please help me with this problem:
Differentiate: y =
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
derivative of ln((x^2)+1) = 2x / (x^2+1)
:
use definition of derivative of log
:
derivative of (x+1) / ((e^x)+1) = ((x+1) / ((e^x)+1)^2) - (x / ((e^x)+1))
:
use definition of derivative of a quotient
:
put them together and we have
:
*************************************************************
y' = (2x / (x^2+1)) + ((x+1) / ((e^x)+1)^2) - (x / ((e^x)+1))
*************************************************************
:
no assumption on x being < 0 or > 0
:
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