0
Sign In
Sign Up for Free
Sign Up
We have detected that Javascript is not enabled in your browser. The dynamic nature of our site means that Javascript must be enabled to function properly. Please read our
terms and conditions
for more information.
Chain, Product, Qoutient
View full resource
416848
Mind Map
by
sammy414
, created
almost 6 years ago
Maths core 3 (Differentiation) Mind Map on Chain, Product, Qoutient, created by sammy414 on 12/04/2013.
Pinned to
80
0
0
No tags specified
differentiation
maths core 3
Created by
sammy414
almost 6 years ago
{"ad_unit_id":"App_Resource_Canonical","width":300,"height":250,"rtype":"mind_map","rmode":"view","sizes":"[[[0, 0], [[300, 250]]]]","custom":[{"key":"env","value":"production"},{"key":"rtype","value":"mind_map"},{"key":"rmode","value":"view"},{"key":"uauth","value":"f"},{"key":"ulang","value":"en_us"}]}
Suggestions
Resource summary
VCE biology Units one and two: Unit two - Cell cycle, asexual and sexual reproduction, meiosis, cell growth and differentiation
Sherlock Holmes
maths- PC1- Differentiation
evie.daines
Life Science - Chapter 3 - From Cells to Organisms
Ashley Ketterling
Present Simple vs. Present Continuous
Marek Mazur
med chem 2 final exam
lola_smily
A-level Maths: Key Differention Formulae
Andrea Leyden
AQA Biology 12.1 cellular organisation
Charlotte Hewson
A-level Maths: Key Differention Formulae
humayun.rana
Formulas to remember: C3
kerihowe1997
1.1 Introduction to Cells
Elisabeth Morell
Chain, Product, Qoutient
1 Chain rule
1.1 Use when a function of x
1.1.1 eg. y= (x^3 + 4)^7
1.1.2 y= du/dx x dy/dx
1.2 Method:
1.2.1 1. Find u ( inner most function) 2. Rewrite y in terms of u
1.2.1.1 3. Differentiate y with respect to u dy/du 4. Differentiate u with respect to x du/dx
1.2.1.1.1 5. Multiply the two together dy/dx 6. Replace u with the correct term
2 Product rule
2.1 Use when functions of x are multiplied together
2.1.1 eg. y= e^x x^8
2.1.2 y= u(dv/dx) + v(du/dx)
2.1.3 Method:
2.1.3.1 1. Find u and v ( two different functions) 2. Differentiate u with respect to x du/dx
2.1.3.1.1 3. Differentiate v with respect to x dv/dx 4. Replace the terms in dy/dx = udv+vdu
3 Qoutient rule
3.1 Use when functions of x are being divided
3.1.1 eg. y= x^3 +1 / 2x^2 +3
3.1.2 y= vdv- udv / v^2
3.1.3 Method:
3.1.3.1 1. Find u and v u=top function v=denominator 2.differntiate u with respect to x du/dx
3.1.3.1.1 3. Differentiate v with respect to x dv/dx 4. Replace the terms in dy/dx = vdu-udv/ v^2
4 How to differentiate :
4.1 Take the power to the front then decrease the power by one
Media attachments