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5. Continuity And Differentiability
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Q25 of 107 Page 107

Differentiate each of the following w.r.t. x

Given:


Let Assume


Now, Taking Log on both sides we get,




Now, Differentiate w.r.t x





Now, substitute the value of y



Hence,


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23

Show that f(x) = |x – 5| is continuous but not differentiable at x = 5.

24

A function satisfies the equation f(x + y) = f(x) f(y) for all x, y . Suppose that the function is differentiable at x = 0 and f’(0) = 2. Prove that f’(x) = 2f(x).

26

Differentiate each of the following w.r.t. x

27

Differentiate each of the following w.r.t. x

Questions · 107
5. Continuity And Differentiability
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