Explore BrainMass

Continuity and Differentiability : Finding Values that Make a Function Differenentiable

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

Solution Summary

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.