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5. Continuity And Differentiability
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Q55 of 107 Page 107

Find when x and y are connected by the relation given

sec (x + y) = xy

We have,

sec(x + y) = xy


By the rules given below:


Chain Rule


f(x) = g(h(x))


f’(x) = g’(h(x))h’(x)


Product rule:



On differentiating both sides with respect to x, we get









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Questions · 107
5. Continuity And Differentiability
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