Can anyone help me out with this one problem please, didn't really learn this type of problem yet.
find a and b such that f is differentiable everywhere
f(x)= ax^3, x=less than or equal to 2
x^2+b, x=greater than 2
thanks
Hint: If $\displaystyle f(x)$ is differentiable everywhere, then it is continuous and smooth at all points.
Here, the only possible point of discontinuity is at $\displaystyle x = 2$.
So you need to find an $\displaystyle a$ and $\displaystyle b$ so that the function is the same at that point.
Have a go.