What function would have a derivative of ƒ′(x) = 12x2 + 4x − 10? Explain how you arrived at your answer...I believe the answer is this: f(x)=4x^3+2x^2-10x...and I got this using the power rule and multiplying. Thanks.

Answer 1

Your answer is correct. You can add an arbitrary constant to it for the general answer, which is called the indefinite integral. Whatever method you used seems to work.

The integral or "antiderivative" of each term of the form
a x^n is a*x^(n+1)/(n+1)
Just add the different polynomial terms. That apparently is what you did.