Question

Find an equation of the tangent line to f(x)=x+1/x at a=4

Answer 1

Is a = 4 a point?

Answer 2

yes

Answer 3

How? (0,4)? or (4,0)

Answer 4

i need to do (f(a+h)-f(a))/h

Answer 5

4,0

Answer 6

OKay, and it's x+1/x or (x+1)/x?

Answer 7

its x+ (1/x)

Answer 8

Okay. So the first step is the find the derivative. Hopefully you learned that...

Answer 9

i can find the shortcut derivative

Answer 10

but i need to use the long way for this assignment

Answer 11

i just cant do it the long way because i get stuck after plugging in the values

Answer 12

What's the long way? If I don't know it, sorry... I dont know. The way I do it though is to find the derivative, plug in the point, then use the point slope equation format to set it out

Answer 13

its f(a+h)-f(a) over h