Teaching OSSTET Mock Test 2023 Mathematics Differential Calculus

If \(y = \sec \left( {{{\tan }^{ - 1}}x} \right)\) then find the value of dy/dx ?

1
\(\frac{{xy}}{{1 + x}}\)
2
\(xy\sqrt {1 + {x^2}} \)
3
\(\frac{y}{{\sqrt {1 + {x^2}} }}\)
4
\(\frac{{xy}}{{1 + {x^2}}}\)
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