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In this quick calculus breakdown, we simplify the difference quotient for the function f(x) = x² + 5x − 4 after it’s already been reduced to (h² + 9h) / h. In this clip, I show why this simplifies to h + 9, but I also highlight the crucial idea that h must not be zero when we cancel. Even though the two expressions are not equal at h = 0 ...
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