At Westonci.ca, we make it easy for you to get the answers you need from a community of knowledgeable individuals. Discover precise answers to your questions from a wide range of experts on our user-friendly Q&A platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

What is the derivative of: y=1/(x+1)+2?

Sagot :

AL2006
That derivative is    - 1 / (x + 1)²
[tex]y=\frac{1}{x+1}+2=(x+1)^{-1}+2\\\\y'=\left[(x+1)^{-1}+2\right]'=-(x+1)^{-1-1}=-(x+1)^{-2}=-\frac{1}{(x+1)^2}[/tex]