9.3 The Chain Rule

Question 2

The point $P\,$ lies on the curve with equation $y=22x+1\displaystyle y = \frac{2}{\sqrt{2x + 1}}$ with $x\,$ coordinate 12

The tangent intersects the $x\,$ axis at the point $A\,$ and the $y\,$ axis at the point $B$ . Find an equation to the tangent to the curve at the point $P\,$ and hence find the exact area of the triangle $A O B$ , where $O\,$ is the origin.

A coordinate sketch shows the curve y = 2/√(2x + 1), its tangent at P, and the tangent meeting the axes at A and B, with O at the origin.

[9]

9.3 The Chain Rule

1 2

Question 2

The point $P\,$ lies on the curve with equation $y=22x+1\displaystyle y = \frac{2}{\sqrt{2x + 1}}$ with $x\,$ coordinate 12

The tangent intersects the $x\,$ axis at the point $A\,$ and the $y\,$ axis at the point $B$ . Find an equation to the tangent to the curve at the point $P\,$ and hence find the exact area of the triangle $A O B$ , where $O\,$ is the origin.

A coordinate sketch shows the curve y = 2/√(2x + 1), its tangent at P, and the tangent meeting the axes at A and B, with O at the origin.

[9]

9.3 The Chain Rule

Question 2

Markscheme

9.3 The Chain Rule

Question 2

Markscheme

9.3 The Chain Rule

Question 2

9.3 The Chain Rule Questions

9.3 The Chain Rule

Question 2

9.3 The Chain Rule Questions