Examples of Math Problems: Find the difference quotient (f(x+h)-f(x))/h , where h is not equal to zero for the function below: f(x)=5x^2 +3x Simplify the answer as much as possible.

Wednesday, December 25, 2013

Find the difference quotient (f(x+h)-f(x))/h , where h is not equal to zero for the function below: f(x)=5x^2 +3x Simplify the answer as much as possible.

so that means
f%28x%2Bh%29-f%28x%29=5x%5E2%2B10xh%2B5h%5E2%2B3x%2B3h-5x%5E2-3x=10xh%2B5h%5E2%2B3h

f%28x%2Bh%29-f%28x%29=5x%5E2%2B10xh%2B5h%5E2%2B3x%2B3h-5x%5E2-3x=10xh%2B5h%5E2%2B3h

furthermore
%28f%28x%2Bh%29-f%28x%29%29%2Fh=%2810xh%2B5h%5E2%2B3h%29%2Fh=10x%2B3%2B5h

%28f%28x%2Bh%29-f%28x%29%29%2Fh=%2810xh%2B5h%5E2%2B3h%29%2Fh=10x%2B3%2B5h

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