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Finding Tangent Lines Examples

Example 1

Find the tangent line to f(x) = x2 at x = 1.

Example 2

Find the equation for the tangent line to f at a.

Example 3

Let f(x) = 3 + x + x2. Use the magic formula to find the tangent line to f at a = 1.

Example 4

The picture below shows a function and its tangent line at x = 2: 

What is f ' (2)?