the function needs to be continuous ...
and so does the derivative of f ...
The problem: Find the value of b that makes the function differentiable.
f(x) =
ax^2 + 10, x> 2
x^2 -6x +b, x < 2
It is a peicewise function just incase that doesn't look right to someone.
I have attempted setting both functions equalto one another but all I ended up with was b-4a = 2 and I am stuck after that.
so then a = -1/2?
but that makes my b = -1 and for what Im doing it is not possible to have negative answers. Am I just wrong in my calculations?
Yes I am wrong, I multiplied by -8 instead off subtracting.