Tangent and Normal Lines to graphs
Below is a cubic function f(x). The tangent line at a point is graphed. It can be moved.
Play with it and answer the following questions.
Use the tangent line to determine the gradient at the point B.
Use the tangent line to determine the gradient at the point C.
What are the coordinates of the point C?
Using the gradient and coordinates of C, which expressions is correct for the equation of the tangent line at C.
What information did the derivative f' provide that helps find the equation of the line?