Question

Buktikan jika y= sec X maka y'= sec X . tan X

Answer 1

Sec x = 1 / Cos x
u= 1 , u'= 0
v= Cos x , v'= - Sin x
y = u'.v - v'.u / v^2
y' = 0. Cos x - (-Sin x) .1 / (Cos x) (Cos x)
y' = Sin x / (Cos x) (Cos x)
y'= 1 / Cos x . Tan x
y'= Sec x . Tan x