1.9.16 Implicit differentiation (A-level only)

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Question 32

An engineer is designing a prototype lens. The cross-section of the lens boundary in the $x y$ -plane is defined by the curve $C$ with equation

4x^2y - 2y^3 + 5x^3 = -3

Find an equation of the normal to $C$ at the point $P (1, 2)$ , giving your answer in the form $a x + b y + c = 0$ , where $a$ , $b$ and $c$ are integers.

[6]

1.9.16 Implicit differentiation (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 47

Question 32

An engineer is designing a prototype lens. The cross-section of the lens boundary in the $x y$ -plane is defined by the curve $C$ with equation

4x^2y - 2y^3 + 5x^3 = -3

Find an equation of the normal to $C$ at the point $P (1, 2)$ , giving your answer in the form $a x + b y + c = 0$ , where $a$ , $b$ and $c$ are integers.

[6]

1.9.16 Implicit differentiation (A-level only)

Question 32

1.9.16 Implicit differentiation (A-level only) Questions

1.9.16 Implicit differentiation (A-level only)

Question 32

1.9.16 Implicit differentiation (A-level only) Questions