UrbanPro
true

Take Class 12 Tuition from the Best Tutors

  • Affordable fees
  • 1-1 or Group class
  • Flexible Timings
  • Verified Tutors

Mathematical Economics

Samiksha K.
27/12/2021 0 0

Functions of one variable

(DEMO)

Reference book: Sydsaeter and Hammond

Play with Graphs- Arihant 

Content plan for Day 1:

Graphs of Functions: Special focus on trigonometric functions. All basic functions like exponential, logarithmic and power functions will be covered.

Linear and quadratic functions: Domain, Range, Notations, optimisation problems.

Functions:

Definition: A real valued function is a function that assigns a unique real number to a real variable x in the domain D. The set of values f(x) taken by x is called the range of f.

Quadratic Functions: A function from R-R(n) taking the form ax(n) + bx(n-1)+ ........ +z , where a,b,.....z belong to R and a is not equal to 0.

Example: x^2+x+1

Linear function: A quadratic function with n=1.

Example: x+1

Domain and Range:

Domain is the input set

Range is the output set

Let us define f: R-R given by f(x)=x

then, The domain is R and the Range is also R.

This function is also known as identity function.

Optimisation:

f(x) = x^2 

We optimise using derivatives.

f'(x) = 2x+2=0

f'' (x)= 2

We thus have a minimum as f'' >0

so, x=0

f(-1) = 2 which is the minimum value the function can take.

 

 

 

 

 

 

 

 

 

 

 

0 Dislike
Follow 1

Please Enter a comment

Submit

Other Lessons for You

Statistics
Measures of Central Tendency: There are three measures of central tendency that are: Mean: It is used to represent the average of the data. Median: It is used to represent the middle value. Mode:...

Astha V. | 14 Feb

0 0
0

Banking
Functions of RBI: 1. Authority to issue currency: It has the sole authority to issue notes and coins in India except for one rupee note, and coins are issued by the ministry of finance. 2. Banker's...

Astha V. | 14 Feb

0 0
0

A Brief Outline of the Anglo-Saxon Period in the History of English Literature
The Germanic tribes arrived in Britain around 600 A. D. The three main tribes. - the Angles, the Saxons and the Jutes - occupied different regions in Britain after defeating the inhabitants, the Celts....

Sharada Devi V. | 10 Feb

0 0
0

Adam Smith's Economic theory
The classical principle of unfastened marketplace economics, to paintings right, has greater necessities than maximum fans realize of or intentionally pick out to ignore. Several years earlier than he...

Nadeem Khan | 10 Feb

0 0
0

X

Looking for Class 12 Tuition Classes?

The best tutors for Class 12 Tuition Classes are on UrbanPro

  • Select the best Tutor
  • Book & Attend a Free Demo
  • Pay and start Learning

Take Class 12 Tuition with the Best Tutors

The best Tutors for Class 12 Tuition Classes are on UrbanPro

Book a Free Demo

UrbanPro.com is India's largest network of most trusted tutors and institutes. Over 55 lakh students rely on UrbanPro.com, to fulfill their learning requirements across 1,000+ categories. Using UrbanPro.com, parents, and students can compare multiple Tutors and Institutes and choose the one that best suits their requirements. More than 7.5 lakh verified Tutors and Institutes are helping millions of students every day and growing their tutoring business on UrbanPro.com. Whether you are looking for a tutor to learn mathematics, a German language trainer to brush up your German language skills or an institute to upgrade your IT skills, we have got the best selection of Tutors and Training Institutes for you. Read more