Eh. Here's the problem:

"A cubic polynomial is given by where a, b, and k are constants. The function f(x) has a local minimum at (-1,-10) and a point of inflection at x=2.

a) Find the values of a, b, and k.

b) Use the second derivative to verify that (-1,-10) really is a local minimum for your function.

c) Find the location of any local maximums for your function. Verify that they are indeed a local maximum."

Here's what I've done so far..

I've found the first derivative,

and the second derivative, .

I then plugged the value of x=1 into the first derivative, getting .

I also plugged the inflection point of x=2 into the second derivative and got

.

From there, I can't seem to remember what to do. Help, please? D: