Jacob P.

asked • 06/17/19

Calculus Derivatives

Let g be a function that is defined for all x, x ≠ 2, such that g(3) = 4 and the derivative of g is 

g′(x) = (x^2-16)/(x-2) with x ≠ 2.

  1. Find all values of x where the graph of g has a critical value.
  2. For each critical value, state whether the graph of g has a local maximum, local minimum, or neither. You must justify your answers with a complete sentence.
  3. On what intervals is the graph of g concave down? Justify your answer.
  4. Write an equation for the tangent line to the graph of g at the point where x = 3.
  5. Does this tangent line lie above or below the graph at this point? Justify your answer.


1 Expert Answer

By:

Still looking for help? Get the right answer, fast.

Ask a question for free

Get a free answer to a quick problem.
Most questions answered within 4 hours.

OR

Find an Online Tutor Now

Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.