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Continuity and Differentiability : Finding Values that Make a Function Differenentiable

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Please explain how to find a and b such that

f(x) = {a(x^3), x is less than or equal to 2
{x^2 + b, x is greater than 2

is differentiable everywhere

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Values are found that make a function differenentiable. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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