anonymous
  • anonymous
f(x)=x/x+1 for (f(x+h)-f(x))/h
Mathematics
schrodinger
  • schrodinger
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Mertsj
  • Mertsj
\[\frac{\frac{x+h}{x+h+1}-\frac{x}{x+1}}{h}\]
Mertsj
  • Mertsj
\[\frac{\frac{(x+h)(x+1)-x(x+h+1)}{(x+h+1)(x+1)}}{h}\]
Mertsj
  • Mertsj
\[\frac{\frac{x^2+x+hx+h-x^2-hx-x}{(x+h+1)(x+1)}}{h}\]

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Mertsj
  • Mertsj
\[\frac{h}{(x+h+1)(x+1)}\times\frac{1}{h}=\frac{1}{(x+h+1)(x+1)}\]
Mertsj
  • Mertsj
Are you supposed to find the limit as h approaches 0?
anonymous
  • anonymous
no just the difference quotient
anonymous
  • anonymous
this is the answer but I didnt understand how to do the problem thank you for explaining how you go to the answer.
anonymous
  • anonymous
got*

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