- #1
souldoutt
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Homework Statement
Find the values of the constants a and b such that the function f(x) is differentiable on R
Homework Equations
f(x) = ax2 if x < 2
f(x) = -4(x-3) + b if x >= 2
The Attempt at a Solution
ax2 = -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?