Question

Differentiate_
$cos \frac{1}{x}$
​

Answer 1

⭐《ANSWER》

$\huge\mathfrak{\underline {\underline\pink {ANSWER}}}$

↪Actually welcome to the concept of the DERIVATIVES BY CHAIN RULE

↪Basically here we are dealing with The Chain rule that is given as ,

↪dy/dx = dy/dt * dt/ dx

↪so now here , we are given as ,

↪Y = cos ( 1/x)

↪so now , dy/dx = d/dx ( Cos ( 1/x))

↪so we get as ,

↪dy/dx = - sin ( 1/x) . d/dx ( 1/x)

↪===》 dy/dx = - sin (1/x) . ( -1/x^2)

↪so finally we get as

↪==》

〽⭐dy/dx = sin (1/x) ÷ x^2