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Question

The derivative of sec-1 12 x2+1 w.r.t. 1+3 x at x=-1/3

(a) does not exist
(b) 0
(c) 1/2
(d) 1/3

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Solution

(a) does not exist

We know that sec-1α is not defined for α-1, 1Here for x=-13, 12x2+1=911-1, 1 sec-112x2+1 is not defined at x=-13 Derivative of sec-112x2+1 does not exist at x=-13

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