Question

For the following graph estimate the slope of the tangent at x = 1.

Answer 1

@zepdrix

Answer 2

By eye, draw a tangent line to the curve at x=1. Then, focus on the x- and y-intercepts of this line to find the approximate slope of this tangent line. Show your work, please.

Answer 3

Well the tangent line hits the points of (1,-1) and (1,1)

Answer 4

would the slope be -2?

Answer 5

@mathmale

Answer 6

looks like the graph of y = 1/x

y' = (-1)/x^2

y'(1) = -1(1^2)

y'(1) = -1

so to be more precise, the slope of the tangent line at x = 1 would be -1

Answer 7

Oh okay wow I see well thank you for that. I have one question about displacement. I am not sure if I got it right. Could you check it for me?

Answer 8

I can try