Question

write an equation of the tangent to the graph of f(x)=2/x at x=1

Answer 1

well you have to take the derivative of f(x)
can you do it ?

Answer 2

i got

Answer 3

\[\frac{ -2 }{ x^2}\]
lol is that right

Answer 4

yes its good.. so the slope of the tangent to the graph at x =1 will be -2
(you just plug x = 1 in the derivative)

Answer 5

now since we need a point on the tangent graph as well (for its equation)
we can get that point from the original graph f(x) since the tangent graph touches it at x =1
what is the y value of this point ?

Answer 6

2?

Answer 7

good.. so now we have (1,2) and slope -2
can you find the equation of the tangent line ?

Answer 8

y = -2x + 4 (: gracias

Answer 9

great yw :)