1.9.14 Chain rule (A-level only)

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Question 32

The point $P\,$ lies on the curve with equation $y=22x+1\displaystyle y = \frac{2}{\sqrt{2x + 1}}$ with $x\,$ coordinate 4

a.

Find an equation to the tangent to the curve at the point $P$ .

[5]

b.

The tangent intersects the $x\,$ axis at the point $A\,$ and the $y\,$ axis at the point $B$ . Find the exact area of the triangle $A O B$ , where $O\,$ is the origin.

[4]

1.9.14 Chain rule (A-level only)

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46

Question 32

The point $P\,$ lies on the curve with equation $y=22x+1\displaystyle y = \frac{2}{\sqrt{2x + 1}}$ with $x\,$ coordinate 4

a.

Find an equation to the tangent to the curve at the point $P$ .

[5]

b.

The tangent intersects the $x\,$ axis at the point $A\,$ and the $y\,$ axis at the point $B$ . Find the exact area of the triangle $A O B$ , where $O\,$ is the origin.

[4]

1.9.14 Chain rule (A-level only)

Question 32

1.9.14 Chain rule (A-level only) Questions

1.9.14 Chain rule (A-level only)

Question 32

1.9.14 Chain rule (A-level only) Questions