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Continuity And Differentiability

Question

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Differentiate the following w.r.t.x: $straight e to the power of straight x plus 3 sec space straight x plus log space straight x squared$

Solution

Let space space space space space straight y equals straight e to the power of straight x plus 3 sec space straight x plus log space straight x squared therefore space space space space space space space straight y equals straight e to the power of straight x plus 3 sec space straight x plus 2 log space straight x therefore space dy over dx equals straight e to the power of straight x plus 3 sec space xtan space straight x plus 2 over 3

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