Question

Question #978c3

Answer 1

The solution is given in the pic below:-

Explanation:

Answer 2

`y=color(blue)(sec(1/x))color(red)(tanx)`

Use the product rule to differentiate:
`y'=color(blue)(sec(1/x))color(red)(sec^2x)+color(blue)(sec(1/x)tan(1/x)(-1/x^2))color(red)(tanx)`

Rewritten:
`y'=sec(1/x)sec^2x-frac{sec(1/x)tan(1/x)tanx}{x^2}`