Question

find the derivates of this function: y=xsin(2/x)

Answer 1

\[xsin(2/x)\]

Answer 2

Which derivatives? The first two?

Answer 3

the whole function please

Answer 4

Well, how would you start? I see two components: the x and the sin (2/x). How do you derive the product of two functions?

Answer 5

differentiate*

Answer 6

whats the difference between derive adn differentiate?

Answer 7

Nothing really; I think differentiate is the correct term.

Answer 8

hint, use the product rule : (fg)'=fg'+f'g

Answer 9

while we're doing these, does anyone know if i would use the same rule for g(n)=(n³-n)ln(n²+n) ?

Answer 10

Sure; the easiest way I'd see is to say a(x) = (n^3 - n) and b(x) = ln(n^2 + n)

Answer 11

er, swap the xs for ns there

Answer 12

haha i realised that:)

Answer 13

use the product rule, (fg)'=f'g+g'f and remember for the sin (2/x) you will need to use the chain rule.

Answer 14

ok but whats derivitve of sin?

Answer 15

d/dx sin x is cos x. Make sure to use the Chain Rule, though!