Question

if g(x) =1+x+x^2, find g'(1) and the equation of the tangent line to y=g(x) at the point (1,3). (evaluate limit her do not use approximation)

Answer 1

Do you know how to find g'(x)? You'll need that first.

Answer 2

do you find derivative?

Answer 3

Yes

Answer 4

Once you get g'(x), you want g'(1) so plug in x=1

Answer 5

Then g'(1) is your slope, m, in the tangent line y=mx+b. Then just plug in the point the tangent line passes through (1, 3) to find b.

Answer 6

so i got y=3x

Answer 7

Looks good. Good job.

Answer 8

phew. . . trying to do homework on a subject that has not been taught is difficult

Answer 9

Yea...i can imagine :/