Question

see attachment for questions...

Answer 1

Are you supposed to differentiate this?

Answer 2

yes

Answer 3

using an appropriate rule

Answer 4

The first one you should use the product rule.

Answer 5

ok

Answer 6

The ln one, use the chain rule followed by the quotient rule.

Answer 7

Last one chain rule. For the fraction one, I think L'Hospital's may be the easier route.

Answer 8

i dont learn about L'Hospital's:/

Answer 9

Then do it by the quotient rule, but I think it will become really hairy.

Answer 10

That's correct, assuming that you didn't raise the 5 by e^something. :-)

Answer 11

:)

Answer 12

what rule is the second question??

Answer 13

Quotient rule, but I would skip that to solve the others first.

Answer 14

okay am doing part (iii) then

Answer 15

u=x rite?

Answer 16

u = x/(x^2 - 1)

Answer 17

y=lnu?

Answer 18

yup.

Answer 19

Then you have to differentiate x/(x^2 - 1), for that, use the quotient rule.

Answer 20

ok