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What is the differential coefficient of logx x ?

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NDA Other Question

Consider the following statements:
1. The derivative where the function attains maxima or minima must be zero
2. If a function is differentiable at a point, then it must be continuous at that point.
Which of the above statements is/are correct ?
(a) 1 only (b) 2 only (c) Both 1 and 2 (d) Neither 1 nor 2 What is ∫dx/(x^2+4) equal to