Find the coordinates of the point(s) on the graph of:
where there are horizontal tangents
Find the x coordinate of the point(s) where:
has vertical tangents
For both questions, you need to calculate the derivative.
The derivative of is , and so the points at which the original function have horizontal tangents are where the derivative is equal to 0. Hence:
x = -2, 1
To calculate the derivative of , use the product rule:
Then, to answer the question, determine where the derivative is undefined.