Daily Graph 18-07-09

Q
Draw the graph of log(sec x ) providing all the analyzes and do it as a question is meant to be done (from basics)

3 Answers

106
Asish Mahapatra ·

range of secx is (-∞,1]U[1,∞)
But for log(secx), secx > 0
So, domain = ((2n-1)Î /2,(2n+1)Î /2)
f(x) = log(secx)
f'(x) = tanx
f''(x) = sec2x >0

further as secx > 0 so, log(secx)>0
further y=log(secx) is even function
So symmetrical abt y-axis.

1
Mirka ·

i think there should be a small correction, asish :

the graph touches the x-axis when secx = 1

106
Asish Mahapatra ·

yeah edited that

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