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Math Tutorial 15.8 - Gradient of Curves

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There are 4 lessons in this math tutorial covering Gradient of Curves. The tutorial starts with an introduction to Gradient of Curves and is then followed with a list of the separate lessons, the tutorial is designed to be read in order but you can skip to a specific lesson or return to recover a specific math lesson as required to build your math knowledge of Gradient of Curves. you can access all the lessons from this tutorial below.

In this Math tutorial, you will learn:

  • What is the gradient of a curve? How to calculate it?
  • Does the gradient of a curve have the same value everywhere?
  • How to find a general formula for calculating all gradients of the same type of functions?
  • How to find the gradient of quadratic functions in two ways?
  • The same for cubic functions.
  • How to find the equation of the tangent line to a curve at a given point?

Introduction

Do you remember from previous tutorials what the gradient is? How do you calculate the gradient of a line?

Suggest a way of calculating the gradient of a curve. Is the value of the gradient the same everywhere?

In this tutorial, we will deal with the concept of the gradient of a curve. The approach is similar to that used in the gradient of straight lines. However, some important differences are worth highlighting, as they are related to more advanced topics such as limits and calculus, covered in this course in later chapters. That's why this tutorial is very important, as it acts as an introduction to more challenging parts of mathematics.

Please select a specific "Gradient of Curves" lesson from the table below, review the video tutorial, print the revision notes or use the practice question to improve your knowledge of this math topic.

Types of Graphs Learning Material
Tutorial IDMath Tutorial TitleTutorialVideo
Tutorial
Revision
Notes
Revision
Questions
15.8Gradient of Curves
Lesson IDMath Lesson TitleLessonVideo
Lesson
15.8.1Recalling the Concept of Gradient
15.8.2Gradient of Curves
15.8.3Calculating the Gradient of a Curve: Gradient of a quadratic function
15.8.4Calculating the Gradient of a Curve: Gradient of a cubic function

Whats next?

Enjoy the "Gradient of Curves" math tutorial? People who liked the "Gradient of Curves" tutorial found the following resources useful:

  1. Math tutorial Feedback. Helps other - Leave a rating for this tutorial (see below)
  2. Types of Graphs Revision Notes: Gradient of Curves. Print the notes so you can revise the key points covered in the math tutorial for Gradient of Curves
  3. Types of Graphs Practice Questions: Gradient of Curves. Test and improve your knowledge of Gradient of Curves with example questins and answers
  4. Check your calculations for Types of Graphs questions with our excellent Types of Graphs calculators which contain full equations and calculations clearly displayed line by line. See the Types of Graphs Calculators by iCalculator™ below.
  5. Continuing learning types of graphs - read our next math tutorial: Quadratic Graphs Part One

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