Question

How to find derivative of sin 2/x

Answer 1

Like this? \[\Large \sin \left(\frac{2}{x}\right)\]

Answer 2

apply the chain rule, by multiplying the outside derivative by the inside.

Answer 3

I'm take that as yes. We know that 2/x = 2x⁻¹

Now apply the chain rule: \[\frac{ d }{ dx } \sin\left(2x^{-1}\right)\]Can you handle it?

Answer 4

u =2/x, cos u du/dx

Answer 5

It's actually sin\[x/2\]

Answer 6

Not sin 2/x
It's sin x/2

Answer 7

U can use the same as I showed above with x/2 instead of 2/x but it is a lot simpler, maybe you can just do it in your head without the substitution?