We have changed our privacy policy. In addition, we use cookies on our website for various purposes. By continuing on our website, you consent to our use of cookies. You can learn about our practices by reading our privacy policy.
© 2016 Shmoop University, Inc. All rights reserved.
Derivatives

Derivatives

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).