



 
Hi Christina. To solve this question, I'd start by finding the derivative of f at the two points. Then, using the pointslope form, I'd have the equations of the two tangent lines. Use these two equations in two unknowns to find the point of intersection. Now with three points, I'd probably proceed to use the distance formula to find the lengths of the three sides of the triangle. Then I'd use Heron's formula for the area of the triangle using the lengths of the sides. Hope this outline helps you, ,
 


Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences. 