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.