Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2011 | January | Q#7

Hits: 6

 

Question

The curve C with equation y=f(x) passes through the point (-1,0).

Given that

Find f(x).

Solution

We are required to find f(x), when;

We are also given that the curve passes through the point P(-1,0).

Clearly it is the case of finding equation from its derivative.

We can find equation of the curve from its derivative through integration;

For the given case;

Rule for integration of  is:

Rule for integration of  is:

Rule for integration of  is:

If a point   lies on the curve , we can find out value of . We substitute values of  and    in the equation obtained from integration of the derivative of the curve i.e. .

We are also given that the curve passes through the point (-1,0).

Therefore, substituting given values of y and x.

Hence, above equation obtained from integration can now be written as;

Please follow and like us:
error0

Comments