Što je jednadžba linije koja je normalna za f (x) = cscx + tanx-cotx na x = -pi / 3?

Odgovor:

#Y = - (3 x) /14-2.53#

Obrazloženje:

# "Tangens": d / dx f (x) = f '(x) *

# "Normal": - 1 / (f (x)) = - 1 / (d / dx cscx + tanx-Cotx) = - 1 / (d / dx cscx + d / dx tanx - d / dx Cotx) = - 1 / (- cscxcotx + sec ^ 2x + CSC ^ 2x) #

# -1 / (f '(- pi / 3)) = - 1 / (- CSC (-piperidm- / 3) krevetić (-piperidm- / 3) + sec ^ 2 (-piperidm- / 3) + CSC ^ 2 (- pi / 3)) = - 1 / (14/3) = - 3/14 #

# Y = x + C #

#F (a) = ma + C #

#csc (-piperidm- / 3) + tan (-piperidm- / 3) -cot (-piperidm- / 3) = - pi / 3 (-3/14) + C #

# c = CSC (-piperidm- / 3) + tan (-piperidm- / 3) -cot (-piperidm- / 3) + pi / 3 (-3/14) #

# C = -2,53 #

#Y = - (3 x) /14-2.53#