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