Question

Find f ' (x) if f is defined by f(x) = xsin(1/x) and if x cannot = 0 and f(0) =0

Answer 1

You mean:
\[\frac{ d }{ dx }xsin \left( \frac{ 1 }{ x } \right)\]

Answer 2

=(-2/x)cos(1/x)+sin(1/x)

Answer 3

I wrote it exactly as it is on my review sheet

Answer 4

I'm pretty sure I should use the product rule. The \[x \neq 0\] threw me off though.