Hoe onderscheid je f (x) = sqrt (cote ^ (4x) met behulp van de kettingregel.?

Antwoord:

#f '(x) = (- 4e ^ (4x) csc ^ 2 (e ^ (4x)) (cot (e ^ (4x))) ^ (- 02/01)) / 2 #

#color (wit) (f '(x)) = - (2e ^ (4x) csc ^ 2 (e ^ (4x))) / sqrt (kinderbed (e ^ (4x)) #

#f (x) = sqrt (kinderbed (e ^ (4x))) #

#color (wit) (f (x)) = sqrt (g (x)) #

#f '(x) = 1/2 * (g (x)) ^ (- 02/01) * g' (x) #

#color (wit) (f '(x)) = (g' (x) (g (x)) ^ (- 02/01)) / 2 #

#G (x) = kinderbed (e ^ (4x)) #

#color (wit) (g (x)) = kinderbed (h (x)) #

#G '(x) = - h' (x) csc ^ 2 (h (x)) #

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

#color (wit) (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)) (cot (e ^ (4x))) ^ (- 02/01)) / 2 #

#color (wit) (f '(x)) = - (2e ^ (4x) csc ^ 2 (e ^ (4x))) / sqrt (kinderbed (e ^ (4x)) #