Question

REGRA DA CADEIA, derive : passo a passo por favor y=cos (1/×)

Answer 1

y = cos(1/x)

y' = (cos(1/x))'
y' = cos'(1/x) . (1/x)'
y' = -sen(1/x) . (x^-1)'
y' = -sen(1/x) . -1/x^2

$y' = \frac{sen(\frac{1}{x})}{x^2}$

Answer 2

A derivada é:

$- \sin( \frac{1}{x} ) \times ( - 1 \times {x}^{ - 2} ) = \\ = {x}^{ - 2} \sin( \frac{1}{x} )$