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The Derivative Function Examples

Example 1

Let f(x) = x2. Calculate f ' (x).

Example 2

Let f be a line. That is, f(x) = mx + b where m and b are constants. What is f ' (x)?

Example 3

Let f(x) = x3. Find f ' (x).

Example 4

Let f(x) = x2. Given that f ' (x) = 2x, what is f ' (3)?