# Math Help - Hard A-LEVEL Curve Question

1. ## Hard A-LEVEL Curve Question

A curve has the equation y=f(x). Given that the point A(2,0) lies on the curve and that the derivative with respect to x is f '(x)=6x(squared)-8x +1.
fidn the equation of the circle.
Thank you.

2. This is an antiderivative question with a given condition. Find the antiderivative from f' and find the integration constant by using the given point.

Originally Posted by helpishere
A curve has the equation y=f(x). Given that the point A(2,0) lies on the curve and that the derivative with respect to x is f '(x)=6x(squared)-8x +1.
fidn the equation of the circle. (?? I think you accidentally wrote circle instead of curve)
Thank you.

3. ok so basically integrate it and use the point 2 as x????

4. Originally Posted by helpishere
ok so basically integrate it and use the point 2 as x????
Find the anti-derivative. The given condition is f(2) = 0, whch is used to get the value of the arbitrary constant.