If f(x) = (4/(x-2)) find f'(4)

Use this to find the equation of the tangent line to the curve y = \frac {4}{x- 2 } at the point ( 4 , 2.00000 ). The equation of this tangent line can be written in the form y = mx+b where m is:
and where b is:

Question

If f(x) = (4/(x-2)) find f'(4)

Use this to find the equation of the tangent line to the curve y = \frac {4}{x- 2 } at the point ( 4 , 2.00000 ). The equation of this tangent line can be written in the form y = mx+b where m is:
and where b is:

calculusfunctions · Answer

Tell me what you think you should do?

terenzreignz · Answer

$$\Large f(x) = \frac4{x-2}$$

calculusfunctions · Answer

Yes, but @MG757983 what is the significance of f '(4)? Can you tell me?

anonymous · Answer

i figured out how to get f'(4) which is -1
and now i am confused on how to continue

anonymous · Answer

i actually got it now thank you for your help!!!

calculusfunctions · Answer

Yes! Hence that is the slope of the tangent at the point (4, 2). You also have the x and y-coordinate of the point. Hence if you have the slope of the line, and a point on the line, how do you find the equation of the line?

calculusfunctions · Answer

Okay!