Calculus Methods: Gradients and First Principles

by Batool Akmal

Along with integration, differentiation is one of the two main branches of calculus. We use it when finding the gradient of a curve as opposed to a straight line. It is derived from a method known as differentiation from first principles, the formal technique for finding the gradient of a tangent.

This method states that by taking two points on a curve that lie very closely together, the straight line between them will have approximately the same gradient as the tangent there. Evidently, the closer these points are together, the better the approximation.

Course Details

Videos 7
Duration 0:36 h
Quiz questions 9
Concept Pages 0

Get Premium

Content

Your Educators of course Calculus Methods: Gradients and First Principles

Batool Akmal

Batool Akmal is the founder of A-level Maths Cardiff; a mathematics tuition and revision company in Wales, UK.
She obtained her Mathematics and Physics Degree, and Postgraduate Certificate in Education from Cardiff University.
She was the Director of the Honours Programme at St. David’s Catholic College from 2012 to 2016 and Head of Numeracy from 2017-2019.
Within Lecturio, Batool Akmal teaches courses on Calculus.

User reviews

(5)
4,8 of 5 stars

5 Stars		4
4 Stars		1
3 Stars		0
2 Stars		0
1 Star		0

Calculus lecture 1

By Shahinaz E. on 22. October 2022 for Gradients of Straight and Curved Lines

Genial Batool Akmal, you illustrate in a very genuine, smart mindset and comprehensive logical illustration.

One concern

By Charles P. on 09. July 2019 for Calculus Methods: Gradients and First Principles

I have trouble reading the instructor's writing at times which makes following the equations difficult.

This is a very great from of lecturing, well explained and user friendly.

By Taiwo A. on 16. November 2018 for First Principles – Calculus Methods

Succinctly theorized. This is a very great from of lecturing, well explained and user friendly.

a very good explanation

By Anna B. on 06. March 2017 for Gradients of Straight and Curved Lines

the explanation was very clear , i've understood it very quickly , the vidéo is realy well done .

(5)
4,8 of 5 stars

5 Stars		4
4 Stars		1
3 Stars		0
2 Stars		0
1 Star		0

Calculus lecture 1

By Shahinaz E. on 22. October 2022 for Gradients of Straight and Curved Lines

Genial Batool Akmal, you illustrate in a very genuine, smart mindset and comprehensive logical illustration.

One concern

By Charles P. on 09. July 2019 for Calculus Methods: Gradients and First Principles

I have trouble reading the instructor's writing at times which makes following the equations difficult.

This is a very great from of lecturing, well explained and user friendly.

By Taiwo A. on 16. November 2018 for First Principles – Calculus Methods

Succinctly theorized. This is a very great from of lecturing, well explained and user friendly.

a very good explanation

By Anna B. on 06. March 2017 for Gradients of Straight and Curved Lines

the explanation was very clear , i've understood it very quickly , the vidéo is realy well done .

it was great

By lucie I. on 23. November 2016 for Gradients and First Principles: Exercise 3

it was great, everything was explained. At the end it completely made sense to me.

USMLE™ is a joint program of the Federation of State Medical Boards (FSMB®) and National Board of Medical Examiners (NBME®). MCAT is a registered trademark of the Association of American Medical Colleges (AAMC). NCLEX®, NCLEX-RN®, and NCLEX-PN® are registered trademarks of the National Council of State Boards of Nursing, Inc (NCSBN®). None of the trademark holders are endorsed by nor affiliated with Lecturio.