Calculus Methods: Gradients and First Principles

by Batool Akmal

Differentiation, along with integration, is a cornerstone of fundamental calculus. Differentiation is used to find the gradient of a curve, rather than a straight line, which can be accomplished without calculus. The derivation of differentiation comes from the concept of differentiation from first principles, which states that by identifying two points on a curve very close to one another, you can draw a straight line between these points to get a gradient that approximates the tangent there. It follows that the closer these points are to one another, the more accurate the approximation.

Course Details

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

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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

(6)
4,7 of 5 stars

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

I understood the calculus introduction

By Hakika Z. on 14. March 2024 for Calculus: Introduction

Extremely perfect ? I enjoyed the lecture and fully understood the calculus introduction

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.

(6)
4,7 of 5 stars

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

I understood the calculus introduction

By Hakika Z. on 14. March 2024 for Calculus: Introduction

Extremely perfect ? I enjoyed the lecture and fully understood the calculus introduction

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.

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