Nayland College

Nayland College - Mathematics

Home . Year 9 . Year 10 . Level 1 . Level 2 . L3 Statistics . L3 Maths . L3 Calculus . About . Links

NZAMT NZQA NZ Grapher NZ Maths Census at School Study It Khan Academy Desmos

Sketching a Gradient Function

Calculus HOME | Achievement Objectives | Gradient | Gradient Functions | Differentiation | Gradient at a point | Find point with gradient | Equation of Tangent | Second Derivitive | Coordinates of Max & Min | Increasing, Decreasing Functions | Applications | Kinematics with differentiation | Antidifferentiation | Finding 'C' | Kinematics with anti-differentiation | Rates of Change | Mixed Problems | Revision

2

Sketching a Gradient Function

Given a graph of a function, sketch a graph of the 'gradient' function.

Key Concepts: Gradient zero at stationary point ( Maximum or Minimum,

Where a function is increasing, decreasing, stationary

Excellent interactive sketching gradient functions

Demo of Gradient Function (enable macros)

Introduction to differentiation and motion graphs link to www.mathsroom.co.uk

Calculus surfer - Thanks to Evelyn Knight for sourcing the link (homepages.gac.edu)
Note: you need to remember to use * for anything multiplied, e.g. y = x*(x+1)*(x+2).
Turn on the 'trace' to see the gradient function

Class Notes | Blank Notes

Ex14.01

Nulake AIS p68, 69, 72, 73

Thanks to Evelyn Knights (Aquinas College) for these great resources:

- Drawing the original fn given the gradient.pdf

- Gradient Fn Worksheet and Answers.pdf

Graph of gradient site

Excel Demo of Gradient Function (enable macros)

Steady free fall link to nrich

Excellent interactive sketching gradient functions

Some good derivative links: www.univie.ac.at Differentiation puzzles matching the graph and the derivative function

Matching gradient at different points on a graph: Guru maths site

Gradient of a line segment

 

Differentiation

Anti-differentiation

 

Function

 

What is the gradient at different points on the graphs?

Gradient Function

 

Mouse over the graphs

Class Notes | Blank Notes screen shots:

 

back to top