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Edexcel A Level

Differentiation from First Principles

Edexcel 9MA0/01 Jun 2023 A2 Exam Q. 12 :   5 marks in 6:00 min.
Edexcel 9MA0/02 Jun 2022 A2 Exam Q. 4 :   3 marks in 3:36 min.
Edexcel 8MA0/01 Nov 2021 AS Exam Q. 5 :   6 marks in 7:12 min.
Edexcel 9MA0/01 Jan 2019 A2 Mock Q. 5 :   5 marks in 6:00 min.
Edexcel 8MA0/01 Jun 2018 AS Exam Q. 10 :   4 marks in 4:48 min.
Edexcel 9MA0/02 Jun 2018 A2 Exam Q. 9 :   5 marks in 6:00 min.
Edexcel 9MA0/01 May 2018 A2 Mock Q. 9 :   5 marks in 6:00 min.
Edexcel 8MA0/01 Jun 2017 AS Sample Exam Q. 6 :   4 marks in 4:48 min.
Edexcel 9MA0/01 May 2017 A2 Sample Exam Q. 10 :   5 marks in 6:00 min.
Derivative as limit of chord gradient
Explore the derivatives of sin and cos
Explore derivative of a to power x
Chords and Tangents of Polynomials
You can use this display to see how the gradient of a chord (or secant) approaches the gradient of a tangent as the length of the chord approaches zero.

Having defined your polynomial, with the blue sliders, you can set the tangent point with the "tangent x" slider, and then drag an approaching point towards it with the "approach x" slider.
Chords and Tangents of Trig Functions
You can use this display to see how the gradient of a chord (or secant) approaches the gradient of a tangent as the length of the chord approaches zero.

Having selected your trigonometric function, you can set the tangent point with the "tangent x" slider,
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