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OCR A Level Maths

Implicit Differentiation

OCR (A) H240/01 Jun 2022 A2 Exam Q. 7 :   8 marks in 9:36 min.
OCR (A) H240/03 Nov 2020 A2 Exam Q. 6 :   11 marks in 13:12 min.
OCR (A) H240/01 Jun 2019 A2 Exam Q. 5 :   8 marks in 9:36 min.
OCR (A) H240/01 Jun 2017 A2 Sample Exam Q. 13 :   9 marks in 10:48 min.
Chain Rule in Implicit Differentiation
This display shows implicit differentiation of $\color{blue}{y^a = b \, x}$.
Differentiation involves use of the chain rule for $\color{green}{y^a}$.
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Product/Chain Rules in Implicit Differentiation
This display shows implicit differentiation of $\color{blue}{x^a \, y^b = c}$.
Differentiation involves use of the product rule for $\color{green}{x^a \, y^b}$, and the chain rule for $\color{green}{y^b}$.
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Implicit Differentiation of Ellipse
A standard cartesian equation of an ellipse is $\color{blue}{{{{x^2}} \over {{a^2}}} + {{{y^2}} \over {{b^2}}} = 1}$,
where a and b are constants.

This display shows implcit differentiation of an ellipse.
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Implicit Differentiation of Hyperbola
A standard cartesian equation of a hyperbola is $\color{blue}{ { { x^2 } \over { a^2 } } - { { y^2 } \over { b^2 } } = 1 }$,
where a and b are constants.

This display shows implcit differentiation of a hyperbola.
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