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Derivatives

Derivatives

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. Show that f'(x) = m.

Example 3

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

Example 4

Let f(x) = x2. We found that f'(x) = 2x. Find f(3).

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