SOLUTION: find the derivative of h(x)=1+e^x�1-e^x

Question 1023940: find the derivative of h(x)=1+e^x�1-e^x
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Using the quotient rule we get
h(x) = (1+e^x) � (1-e^x)
h'(x) = (e^x(1-e^x) - (-e^x)(1+e^x)) / (1 - e^x)^2
h'(x) = ((e^x - e^2x) + (e^x + e^2x)) / (1 - e^x)^2
h'(x) = 2e^x / (1 - e^x)^2
RELATED QUESTIONS
Calculate the derivative of... (answered by harpazo)

What is the derivative of... (answered by robertb)

Find the derivative of f(x) = e^x + ln (x +1) + x +5 at (0,... (answered by Fombitz)

Find the derivative with respect to x of h(x)=e^(8x^2)+2ln(x).... (answered by Alan3354)

find the derivative at the given value of x... (answered by robertb)

find the derivative of the function... (answered by fractalier)

a) Prove the identity: cosh x - sinh x = e^-x b) Find the derivative of f(t) =... (answered by ewatrrr)

find the derivative of the function y=x^2... (answered by Fombitz)

Please help me find the derivative of the functions: y= -lnx^4+e^7 and... (answered by ikleyn)