9.8 Implicit Differentiation

Medium Hard

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Question 25

The cross-section of a custom aerodynamic fairing is modeled by a curve with equation

2y^2 + 3x = 4ye^{0.5x}

Determine an expression for $dydx\frac{dy}{dx}$ in terms of $x$ and $y$ .

[4]

The curve intersects the $y$ -axis at the origin and at a point $P$ .

Find the equation of the normal to the curve at $P$ , writing your answer in the form $y = m x + c$ where $m$ and $c$ are constants to be found.

[4]

9.8 Implicit Differentiation Questions

A Level
Maths
9.8 Implicit Differentiation

Practise Edexcel A Level Maths 9.8 Implicit Differentiation with exam-style questions for A Level Maths. 48 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank

A Level
Maths Edexcel
Question bank