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# Finding Tangent Lines Exercises

### Example 1

For the given function f and value a, find the tangent line to f at a.

• f(x) = x2 + 1, a = 1

### Example 2

For the given function f and value a, find the tangent line to f at a

• f(x) = x2 + 1, a = 0

### Example 3

For the given function f and value a, find the tangent line to f at a

• f(x) = x3, a = 1

### Example 4

For the given function f and value a, find the tangent line to f at a

• f(x) = 1 – x2, a = -1

### Example 5

For the given function f and value a, find the tangent line to f at a

### Example 6

For the function f and value of a, use the magic formula to find the tangent line to f at a. We'll need to calculate a derivative from scratch.

• f(x) = 2x + 3x2, a = 4

### Example 7

For the function f and value of a, use the magic formula to find the tangent line to f at a.

• f(x) = 2x3, a = -2

### Example 8

For the function f and value of a, use the magic formula to find the tangent line to f at a.

### Example 9

The graph shows a function f and a line that is tangent to f at a. For the graph determine a, f(a), and f'(a) (a refers to the x-value at which the line is tangent to f).