Question Detail

MTH 102 Practice Questions MTH 102 Objective Question

Question

Find dy/dx of y=sec(x)/tan(x)
Options
A -cosec²x
B secx tanx
C sec²x
D -cosecx cotx
Correct Answer
Correct Answer

Option D is the correct answer.

Detailed Explanation

secx/tanx = 1/sinx = cosecx. The derivative of cosecx is -cosecx·cotx.

Hint

Simplify secx/tanx to a single trig function before differentiating.

Question Info