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10 POINTS!!! FULL ANSWER WITH FULL STEP BY STEP SOLUTION PLEASE
4 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