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in Continuity and Differentiability by (48.6k points)
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Show that f (x) = x3 is continuous as well as differentiable at x = 3.

1 Answer

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by (49.9k points)
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Best answer

Consider left hand limit at x = 3

We know that left hand derivative at x = 3

By substituting the value of h

= 02 +27 -9(0) = 27

Here Lf' = Rf'

Therefore, the function is continuous and differentiable at x = 3.

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