MathsNet: D - Differentiation - Finding tangents

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Page ID: 1205

D | Differentiation | Parametric differentiation | «Finding tangents»

If y is given as a function of a parameter t, and x is given as a function of the same parameter t, then \displaystyle \frac{dy}{dx} can be found by using: \displaystyle \frac{dy}{dx} = \frac{\frac{dy}{dt} }{\frac{dx}{dt} } = \frac{dy}{dt} \times \frac{dt}{dx}

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This question appears in the following syllabi:

Syllabus	Module	Section	Topic	Exam Year
AP Calculus BC (USA)	3	Differentiation	Parametric differentiation	-
AQA A-Level (UK - Pre-2017)	C4	Differentiation	Parametric differentiation	-
AQA A2 Maths 2017	Pure Maths	Parametric Equations	Parametric Differentiation	-
AQA AS/A2 Maths 2017	Pure Maths	Parametric Equations	Parametric Differentiation	-
CBSE XII (India)	Calculus	Continuity and Differentiability	Derivatives of parametric functions	-
CCEA A-Level (NI)	C4	Differentiation	Parametric differentiation	-
CIE A-Level (UK)	P2	Differentiation	Parametric differentiation	-
Edexcel A-Level (UK - Pre-2017)	C4	Differentiation	Parametric differentiation	-
Edexcel A2 Maths 2017	Pure Maths	Differentiation	Parametric Differentiation	-
Edexcel AS/A2 Maths 2017	Pure Maths	Differentiation	Parametric Differentiation	-
Methods (UK)	M8	Differentiation	Parametric differentiation	-
OCR A-Level (UK - Pre-2017)	C4	Differentiation	Parametric differentiation	-
OCR A2 Maths 2017	Pure Maths	Differentiation Techniques	Parametric Differentiation	-
OCR MEI A2 Maths 2017	Pure Maths	Parametric Equations	Parametric Differentiation	-
OCR-MEI A-Level (UK - Pre-2017)	C4	Differentiation	Parametric differentiation	-
Pre-U A-Level (UK)	4	Differentiation	Parametric differentiation	-
Scottish Advanced Highers	M2	Differentiation	Parametric differentiation	-
Scottish (Highers + Advanced)	AM2	Differentiation	Parametric differentiation	-
Universal (all site questions)	D	Differentiation	Parametric differentiation	-
WJEC A-Level (Wales)	C4	Differentiation	Parametric differentiation	-