Hvordan skiller du mellom sqrt ((x + 1) / (2x-1))?

Hvordan skiller du mellom sqrt ((x + 1) / (2x-1))?
Anonim

Svar:

# - (3 (x + 1)) / (2 (2x-1) ^ 2 sqrt ((x + 1) / (2x-1)) #

Forklaring:

#f (x) = u ^ n #

#f '(x) = n xx (du) / dx xxu ^ (n-1) #

I dette tilfellet:# sqrt ((x + 1) / (2x-1)) = ((x + 1) / (2x-1)) ^ (1/2): #

#n = 1/2, u = (x + 1) / (2x-1) #

2x-1) ^ 2xx ((x + 1) / (2x-1)) ^ (1 / 2x-1) 2-1) #

# = 1 / 2xx (-3) / ((2x-1) ^ 2xx ((x + 1) / (2x-1)) ^ (1 / 2-1)

# = - (3 (x + 1)) / (2 (2x-1) ^ 2 ((x + 1) / (2x-1)) ^