SOLUTION: Can you please take the time to help me solve this problem: If f(x) = x2, then find { [ f(x+h) – f(x) ] / h } in terms of x and h. Thank you

Algebra ->  Functions -> SOLUTION: Can you please take the time to help me solve this problem: If f(x) = x2, then find { [ f(x+h) – f(x) ] / h } in terms of x and h. Thank you      Log On


   

Question 105156: Can you please take the time to help me solve this problem: If f(x) = x2, then find { [ f(x+h) – f(x) ] / h } in terms of x and h.
Thank you
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=x%5E2
f%28x%2Bh%29=%28x%2Bh%29%5E2
f%28x%2Bh%29=x%5E2%2B2xh%2Bh%5E2 Expand.
f%28x%2Bh%29-f%28x%29=%28x%5E2%2B2xh%2Bh%5E2%29-x%5E2
f%28x%2Bh%29-f%28x%29=2xh%2Bh%5E2
%28f%28x%2Bh%29-f%28x%29%29%2Fh=%282xh%2Bh%5E2%29%2FhSimplify.
%28f%28x%2Bh%29-f%28x%29%29%2Fh=2x%2Bh