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5. Continuity and Differentiability
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Q1 of 147 Page 166

Differentiate the functions with respect to x.

sin (x2 + 5)

Given: sin(x2 + 5)

Let y = sin(x2 + 5)





= cos(x2 + 5).(2x + 0)


= cos(x2 + 5).(2x)


= 2x.cos(x2 + 5)


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Examine that sin | x| is a continuous function.

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Find all the points of discontinuity of f defined by f (x) = | x| – | x + 1|.

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Questions · 147
5. Continuity and Differentiability
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