Question

Find the derivative using the product rule and by multiplying the two (x+(1/x))(x+(1/x))

Answer 1

how far have you gotten?

Answer 2

I have turned it into (x+x^-1)(x+x^-1)

Answer 3

then its very simple from there, maybe mimi can help you

Answer 4

The answer that I got was 2-2x^-2, is that correct?

Answer 5

Nope, it's 2x - 2/x^3.
You can expand it right?

Answer 6

we had to find it two ways, one way using the product rule and another way by foiling it.

Answer 7

Can you explain how you got 2x-2/x^3?

Answer 8

I expanded it then took the derivative of it.
But you want to use the product rule, right ?

Answer 9

yes and I had a question, when expanding it, x multiplied by x^-1 =?

Answer 10

x^2 + 2 + 1/x^2

= 2x -2/x^3

Answer 11

Lagrange, am i right ?

Answer 12

What is the derivative of x+x^-1? My answer was 1-x^-2

Answer 13

the derivaitve of x+x^-1 is 1-(1/x^2)

Answer 14

When you expand it, x multiplied by x^-1, what is the answer?

Answer 15

1