SOLUTION: Using: f(x) = -2x^2-5x+3 Find (f(x+h)-f(x))/h

Algebra ->  Equations -> SOLUTION: Using: f(x) = -2x^2-5x+3 Find (f(x+h)-f(x))/h      Log On


   

Question 1060577: Using: f(x) = -2x^2-5x+3
Find (f(x+h)-f(x))/h
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29+=+-2x%5E2+-+5x+%2B+3


f%28x%2Bh%29+=+-2%28x%2Bh%29%5E2+-+5%28x%2Bh%29+%2B+3


f%28x%2Bh%29+=+-2%28x%5E2%2B2xh%2Bh%5E2%29+-+5%28x%2Bh%29+%2B+3


f%28x%2Bh%29+=+-2x%5E2-4xh-2h%5E2+-+5x-5h+%2B+3


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%28f%28x%2Bh%29-f%28x%29%29%2Fh+=+%28-2x%5E2-4xh-2h%5E2+-+5x-5h+%2B+3%2B2x%5E2%2B5x-3%29%2Fh


%28f%28x%2Bh%29-f%28x%29%29%2Fh+=+%28-4xh-2h%5E2-5h%29%2Fh


%28f%28x%2Bh%29-f%28x%29%29%2Fh+=+%28h%28-4x-2h-5%29%29%2Fh


%28f%28x%2Bh%29-f%28x%29%29%2Fh+=+-4x-2h-5