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AQA A Level

Differentiation from First Principles

AQA 7357/2 Jun 2022 A2 Exam Q. 2 :   1 mark in 1:12 min.
AQA 7357/3 Nov 2021 A2 Exam Q. 3 :   1 mark in 1:12 min.
AQA 7356/2 Nov 2021 AS Exam Q. 8 :   4 marks in 4:30 min.
AQA 7356/1 Nov 2020 AS Exam Q. 5 :   4 marks in 4:30 min.
AQA 7357/1 Jun 2019 A2 Exam Q. 11 :   4 marks in 4:48 min.
AQA 7357/1 Jun 2018 A2 Exam Q. 15 :   6 marks in 7:12 min.
AQA 7356/1 Jun 2018 AS Exam Q. 9 :   8 marks in 9:00 min.
AQA 7357/1 Jun 2017 A2 Sample Exam Q. 17 :   6 marks in 7:12 min.
AQA 7356/1 Jun 2017 AS Sample Exam Q. 9 :   5 marks in 5:38 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.
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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,
OPEN FULL-WINDOW
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