MATH SOLVE

3 months ago

Q:
# 10 POINTS!!! FULL ANSWER WITH FULL STEP BY STEP SOLUTION PLEASE

Accepted Solution

A:

f'(x) = (d/dx)(arcsec(x) -arccsc(x)) = 1/(x^2*β(1 -1/x^2)) -(-1)/(x^2*β(1 -1/x^2))

a) f'(x) = (d/dx)(arcsec(x) -arccsc(x)) = 2/β(x^4 -x^2)

b) f'(4) = 2/β(4^4 -4^2) = 2/β240 = (β15)/30

c) f'(-1) = 2/β((-1)^4 -(-1)^2) = 2/0 = undefined

d) f'(1/2) = 2/β((1/2)^4 -(1/2)^2) = 2/β(-3/16) = 8/β-3 = -i(8/3)β3

a) f'(x) = (d/dx)(arcsec(x) -arccsc(x)) = 2/β(x^4 -x^2)

b) f'(4) = 2/β(4^4 -4^2) = 2/β240 = (β15)/30

c) f'(-1) = 2/β((-1)^4 -(-1)^2) = 2/0 = undefined

d) f'(1/2) = 2/β((1/2)^4 -(1/2)^2) = 2/β(-3/16) = 8/β-3 = -i(8/3)β3