Question

Suppose f(x) is differentiable at x=a. What does tangent line approximation, y=, mean? Select all that apply

(A) Local linearization

(B) y=f(x)-f(a)-f'(a)(x-a)

(C) The best liner approximation of f(x) near a

(D) After zooming y is a good approxiamtion to f(x)

(E) f(x)~y=f(a) + f(a)(x-a)

(F) The tangent line equation to the curve at the point (x,y)

(G) The slope of the tangent line


For this answer I say A, B, F, and G.Please tell me if I am not including any more or if I am wrong in any way.Thanks.

Answer 1

Are you sure you don't mean
(E) f(x)~ y = f(a) + f'(a)(x-a) ??

That would be one of several acceptable answers. A, C, D and F are also OK

Equation B makes no sense. Are you sure you copied it correctly?