Question

Let F(x) = (x+1) / (x^2-16).
Use the definition of the derivative to compute f'(x) and give its domain. Show all steps.

Answer 1

Show me that you know the formula.
Show me that you can do the substitution and we can go from there

Answer 2

f'(x) = [f(x+h)-f(x)] / h

F'(x) = [(x+h)+1] / (x+h)^2-16]-[(x+1)/X^2-16] /h

F'(x) = [(x+h) +1](x^2)-[(x+h)^2-16](x+1) /h