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Differentiation

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Question 28

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

Find, in exact form, an equation to 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

Differentiation Questions

A Level
Maths
Differentiation

717 exam-style questions on Edexcel A Level Maths Differentiation, covering 9.1 Differentiating sin x and cos x, 9.2 Differentiating exponentials and logarithms, 9.3 The Chain Rule, 9.4 The Product Rule, 9.5 The Quotient Rule, 9.6 Differentiating Trigonometric Functions, 9.7 Parametric Differentiation, 9.8 Implicit Differentiation, 9.9 Using Second Derivatives, and 9.10 Rates of Change. Each one has a worked solution and a mark scheme showing where the marks go.

Differentiation

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Differentiation

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Question 28

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

Find, in exact form, an equation to 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

Differentiation Questions

A Level
Maths
Differentiation