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

Question

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

anonymous · Answer

attachment

anonymous · Answer

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.

anonymous · Answer

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

anonymous · Answer

Okay, isn't there a formula for that?

anonymous · Answer

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

anonymous · Answer

start with the point slope form of a line

anonymous · Answer

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

anonymous · Answer

then substitute in the approximation value of -1.1

anonymous · Answer

remember m=f'

anonymous · Answer

|dw:1330404165359:dw|