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Derivatives

Derivatives

Example 1

For the given function f andvalue 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 will need to calculate derivatives 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. We will need to calculate derivatives from scratch.

  • 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. We will need to calculate derivatives from scratch.

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).

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