How do you find the derivative of #u=(1+e^v)(1-e^v)#?

1 Answer
sjc
Jun 26, 2017

#(du)/(dv)=-2e^(2v)#

Explanation:

looking at the RHS we notice it is difference of squares when multiplied out, so it will be easier to differentiate if we multiply out first, rather than use the product rule then simplify.

#u=(1+e^v)(1-e^v)#

#=>u=1-e^(2v)#

now differentiate wrt #v#

#(du)/(dv)=0-2e^(2v)#

#(du)/(dv)=-2e^(2v)#

Related questions
See all questions in Differentiating Exponential Functions with Base e
Impact of this question
1299 views around the world
You can reuse this answer
Creative Commons License