Hello,
I have a problem here that I am somewhat unsure about:
"Point (-1, 1) lies on the curve . Use tangent line approximation to approximate the y-coordinate of the point where x = -1.01."
(A) 1.02
(B) 0.978
(C) 0.965
(D) 1.101
(E) 0.98
Here is my go at it:
First, use implicit differentiation to find the derivative:
Substitute (-1, 1) and solve for the tangent line:
Tangent line linear formula:
Use TLA approximation formula with a = -1.01:
So my guess would probably be A, or 1.02. Am I doing this right? (I could have made a mistake differentiating).
Thanks.