SOLUTION: For the given function x^2+1, find f(x+h)-f(x)/h

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Question 746262: For the given function x^2+1, find f(x+h)-f(x)/h
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
For the given function x^2+1, find f(x+h)-f(x)/h
.
f(x) = x^2+1
.
f(x+h) = (x+h)^2+1
f(x+h) = (x+h)(x+h)+1
f(x+h) = (x^2+2hx+h^2)+1
f(x+h) = x^2+2hx+h^2+1
.
so, f(x+h)-f(x)/h is:
[(x^2+2hx+h^2+1) - (x^2+1)]/h
[x^2+2hx+h^2+1 - x^2-1]/h
[2hx+h^2+1-1]/h
[2hx+h^2]/h
2x+h (final answer)