Question

AP calc, tangent line, differentiable..
I have no idea what this question is asking :C

Answer 1

It's linear approximation, because you don't know what f(x) is exactly, but they gave you the derivative at (-1). So what they want you to do is to find an equation for the tangent line at (-1) and use that equation to approximate what f(-1.1) is.

Answer 2

again linear approximation: you're Approximating the point with a tangent Line

Answer 3

Okay, isn't there a formula for that?

Answer 4

I mean, I know the value will go down slightly, but I'm still not sure on how to get the equation of the tangent line

Answer 5

start with the point slope form of a line

Answer 6

substitute in all of the values...x, y, and m

Answer 7

then substitute in the approximation value of -1.1

Answer 8

remember m=f'