Question

Find the value of m for which the line y=mx-3 is a tangent to the curve y=x+1/x and find the x-corodinate of the point at which this tangent touches the curve.

Answer 1

y'=1-1/x^2=m

Answer 2

Isn't that the gradient of the curve only?

Answer 3

yeah,the given line has slope m, the gradient of the curve gives the slope of the tangent line

Answer 4

Ok, thanks :)