1.9.14 Chain rule (A-level only)

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Question 19

The point $P\,$ lies on the curve with equation $y = 3xe^{x^2}$ with $x$ -coordinate 1.

a.

Find an equation of 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 19

The point $P\,$ lies on the curve with equation $y = 3xe^{x^2}$ with $x$ -coordinate 1.

a.

Find an equation of 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 19

1.9.14 Chain rule (A-level only) Questions

1.9.14 Chain rule (A-level only)

Question 19

1.9.14 Chain rule (A-level only) Questions