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If y="sec"(tan^(-1)x), then (dy)/(dx) at...

If `y="sec"(tan^(-1)x),` then `(dy)/(dx)` at `x=1` is equal to: `1/(sqrt(2))` (b) `1/2` (c) 1 (d) `sqrt(2)`

A

-2

B

4

C

-4

D

0

Text Solution

AI Generated Solution

To find \(\frac{dy}{dx}\) for the function \(y = \sec(\tan^{-1} x)\) at \(x = 1\), we will follow these steps: ### Step 1: Rewrite the function We start with the function: \[ y = \sec(\tan^{-1} x) \] ...
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