(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the values of the constants a and b such that the function f(x) is differentiable on R

2. Relevant equations

f(x) = ax^{2}if x < 2

f(x) = -4(x-3) + b if x >= 2

3. The attempt at a solution

ax^{2}= -4(x-3) + b

2xa = -4x

a = -2

I believe that I need to equate the equations but with a value of a how do I find b and then prove that it's differentiable?

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# Homework Help: Finding constants in a piecewise function that allow the function to be differentiabl

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