Showing posts with label calculus. Show all posts
Showing posts with label calculus. Show all posts

Thursday 31 March 2022

Class 12 - Mathematics - Differential Equations - Study Notes - Part - 1 #calculus #differentialEquations #class12Maths #eduvictors

Class 12 - Mathematics - Differential Equations - Part - 1

Class 12 - Mathematics - Differential Equations - Study Notes - Part - 1 #calculus #differentialEquations #class12Maths #eduvictors

An equation involving an independent variable (variables), dependent variable and derivative or derivatives of the dependent variable with respect to the independent variable (variables) is called a differential equation.

It is an equation involving unknown functions and their derivatives w.r.t. one or more independent variables.

Friday 25 March 2022

Methods of Differentiation - CBSE Class 11 - Mathematics - Limits and Derivatives Part-11 #class11Maths #limits #calculus #differentiation #eduvictors

Methods of Differentiation 

CBSE Class 11 - Mathematics - Limits and Derivatives Part-11 

Methods of Differentiation - CBSE Class 11 - Mathematics - Limits and Derivatives Part-11 #class11Maths #limits #calculus #differentiation #eduvictors


#class11Maths  #calculus 

Working rule for finding the derivative of implicit functions

First method:

Differentiate every term of f (x, y) = 0 with respect to x.

Tuesday 15 February 2022

DIFFERENTIATION OF STANDARD FUNCTIONS- CBSE Class 11 - Mathematics - Limits and Derivatives Part-10 #class11Maths #limits #calculus #differentiation #eduvictors

 

DIFFERENTIATION OF STANDARD FUNCTIONS

CBSE Class 11 - Mathematics - Limits and Derivatives Part-10

DIFFERENTIATION OF STANDARD FUNCTIONS- CBSE Class 11 - Mathematics - Limits and Derivatives Part-10 #class11Maths #limits #calculus #differentiation #eduvictors


 #class11Maths #Limits

You have learnt theorems of differentiation part-9. Let us proceed further. Here is a list of differentiation of some standard functions: 

Sunday 6 February 2022

THEOREMS ON DIFFERENTIATION - CBSE Class 11 - Mathematics - Limits and Derivatives Part-9 #class11Maths #limits #calculus #differentiation #eduvictors

THEOREMS ON DIFFERENTIATION 

CBSE Class 11 - Mathematics - Limits and Derivatives Part-9

THEOREMS ON DIFFERENTIATION - CBSE Class 11 - Mathematics - Limits and Derivatives Part-9  #class11Maths #limits #calculus #differentiation #eduvictors


 #class11Maths #Limits

You have learnt about finding derivatives using the first principle in part-7 and part-8. Let us proceed further. Here is a summary of theorems on differentiation.

Wednesday 12 January 2022

CBSE Class 11 - Mathematics - Limits and Derivatives (Part-7) Derivatives Using First Principle #class11Maths #limits #calculus #differentiation #eduvictors

CBSE Class 11 - Mathematics - Limits and Derivatives Part-7

Derivatives Using First Principle

CBSE Class 11 - Mathematics - Limits and Derivatives (Part-7)  Derivatives Using First Principle #class11Maths #limits #calculus #differentiation #eduvictors



In the previous post[Part-6], we learned about the Derivative of a function at a point. Let us focus on some important derivatives using the First Principle.


Theorem 1: From the first principle, we have 

Friday 31 December 2021

CBSE Class 11 - Mathematics - Limits and Derivatives (Part-6) - Derivative of a Function At a Point #limits #class11Maths #calculus #eduvictors

Class 11 - Mathematics - Limits and Derivatives (Part-6) - Derivative of a Function At a Point 

CBSE Class 11 - Mathematics - Limits and Derivatives (Part-6) - Derivative of a Function At a Point #limits #class11Maths #calculus #eduvictors



In the previous blog post Limits and derivatives Part-5, we learned about the limits. Let us understand the derivative of a function at a point.

Q1: What is the derivative of a function at a point?

Answer: Let y = f(x) is a continuous function. It means the value of y changes as the value of x changes.

At x = a, is a point in its domain of definittion. The derivative of f at a is defines as: