1. fint the lines that are tangent and normal to the curve at (1,1)
im guessing that i have to use the definition of a derivative, and substitute f(x) and x in the equation with one, and solve it?
what about the normal line?
The normal is always perpendicular to the tangent and so the product of their gradients must be -1: where = the gradient at that point and
In both cases use the equation of a straight line formula:
where is a coordinate. In your case this is (1,1)