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The concept and full method

The concept and full method-example-1

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Answer:

Explanation:

This kinda looks like the limiting definition of a derivative.

Anyway, what we are doing with the f(2 + h) is evaluating f(x) with 2+h in place for x. That looks like this:

f(2 + h) = 2(2 + h) - 3 which simplifies to

f(2 + h) = 4 + 2h - 3 which simplifies to

2h + 1

From that we are subtracting f(2). What we are doing with that is evaluating f(x) with 2 in place for x. That looks like this:

f(2) = 2(2) - 3 which simplifies to

f(2) = 4 - 3 which simplifies to

f(2) = 1. Now put those together over h to get:


(f(2+h)-f(2))/(h)=(2h+1-1)/(h)=(2h)/(h)=2

User Kevin F
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