Science:Math Exam Resources/Courses/MATH104/December 2014/Question 01 (h)/Solution 1

From UBC Wiki

By the chain rule we get that , in particular, .


From the fact that the point is on the graph we know that .

For a differentiable function the slope of the tangent line at a point equals the derivative of the function at that point.

The slope of the tangent line of at is , hence . Similarly, .


So, evaluating at gives: