Answer: The values for the constants are c=2, and d=-4.
explanation: We have the function f, defined as:
and
where c and d are constants.
So, if f is differentiable at x=2, then it must be continuos at x=2, therefore
Let's call this, equation 1.
On the other hand, we have that f is differentiable, therefore
and
so, we calculate
which, replacing in equation 1, gives us
Finally, the answer is that c=2, and d=-4.
