Kako razlikovati f (x) = sqrt (cote ^ (4x) koristeći lanac pravilo.?

Odgovor:

#F "(x) = (- 4e ^ (4x) CSC ^ 2 (e ^ (4x)) (krevetić (e ^ (4x))) ^ (- 1/2)) / 2 #

#COLOR (bijeli) (f (x)) = - (2e ^ (4x) CSC ^ 2 (e ^ (4x))) / sqrt (krevetić (e ^ (4x)) *

#F (x) = sqrt (krevetić (e ^ (4x))) *

#COLOR (bijeli) (f (x)) = kvadratni korijen (g (x)) #

#F '(x) = 1/2 * (g (x)) ^ (- 1/2) + g' (x) *

#COLOR (bijeli) (f (x)) = (g '(x) (g (x)) ^ (- 1/2)) / 2 #

#G (x) = krevetić (e ^ (4x)) #

#COLOR (bijeli) (g (x)) = ležaj (h (x)) *

#G '(x) = - h' (x) CSC ^ 2 (h (x)) *

# h, (x) = e ^ (4x) #

#COLOR (bijeli) (h (x)) = e ^ (j (x)) *

# h '(x) = j' (x) e ^ (j (x)) *

#J (x) = 4x #

#J "(x) = 4 #

# h, '(x) = 4e ^ (4x) #

#G "(x) = - 4e ^ (4x) CSC ^ 2 (e ^ (4x)) *

#F "(x) = (- 4e ^ (4x) CSC ^ 2 (e ^ (4x)) (krevetić (e ^ (4x))) ^ (- 1/2)) / 2 #

#COLOR (bijeli) (f (x)) = - (2e ^ (4x) CSC ^ 2 (e ^ (4x))) / sqrt (krevetić (e ^ (4x)) *