Posted by **Derek** on Wednesday, July 16, 2008 at 11:42pm.

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.

- Calc. -
**drwls**, Wednesday, July 16, 2008 at 11:53pm
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.

## Answer This Question

## Related Questions

- Derivatives- Math - Can someone explain how to find the derivative of : 1. y= 5...
- Calc - I'm creating a "calculu for dummies" project book. I've already done most...
- Math- Calc - Suppose f(5)=5, f′(5)=5, g(5)=8, g′(5)=−8, and H(...
- math - Estimate f′(−3) where f(x) = x^3 + 8x^2 − 10x − 1...
- calculus - i need to find the derivative using chain rule: (x^2 + 2x - 6)^2 (1-x...
- Calculus - Given f(x)=−2x^3 -3x + 1, the value of the derivative of the ...
- Calc 1 - G(X) = x^2(1-2x) I have to differentiate this function I used the power...
- Algebra 2 - Am I correct? The radius of a cylinder is 3x – 2 cm. The height of ...
- math - I have the same project as Jill down there... -What is the definition of ...
- Algebra II - 4. The radius of a cylinder is 3x – 2 cm. The height of the ...

More Related Questions