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3.6.5 Differentiation (A-level only)

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Question 35

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

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

[5]

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]

Markscheme

3.6.5 Differentiation (A-level only) Questions

A Level
Maths
3.6.5 Differentiation (A-level only)

133 exam-style questions on WJEC A Level Maths 3.6.5 Differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

3.6.5 Differentiation (A-level only)

Question bank

3.6.5 Differentiation (A-level only)

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Question 35

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

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

[5]

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]

Markscheme

3.6.5 Differentiation (A-level only) Questions

A Level
Maths
3.6.5 Differentiation (A-level only)

133 exam-style questions on WJEC A Level Maths 3.6.5 Differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.