Applied Mathematics - ll : Differentiation | Chapter 02 | Lecture 05 Notes For Polytechnic.

March 14, 2021

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Applied Mathematics - ll : Differentiation|Chapter 02 | Lecture 05 Notes For Polytechnic

( Lecture 05 )

Hey Everyone, How are you ... Today I will tell you How to Differentiate Exponential & Logarithmic, Polynomial Function By First Principle Which is lecture 05 of Chapter 02 Differentiation Of Applied Mathematics 2 .

Lecture - 05 ( Topics ) :

1 ) Differentiation Of Exponential Function

From first principle.

2 ) Differentiation Of Logarithmic Function from first principle.

3 ) Differentiation Of Polynomial Function From First principle.

4 ) Questions Based On Each Topics

5 ) Lecture Related Questions

( Overview )

Differentiation From First Principle

Let F( x ) be a real value function .

Then, derivative of function using the first principal.

F' ( x ) = lim F ( x + h ) - F ( X )

h→0 h

- Note This Formula

Also learn ,

Limits Of Exponential & Logarithmic Function ;

1 ) Lim a^x - 1 = loga

x→0 x

2 ) Lim e^x - 1 = 1

x→0 x

3 ) Lim log ( 1 + x ) = 1

X→0 x

Differentiation Of Exponential Function From First Principle

Question 01 )

Find The Derivative Of e^x with respect to x, using first principle.

Solution : View On This Page

( Question 01 )

Question 02 )

Differentiate a^x with respect to x from first principle

Solution : View On This Page

( Question 05 )

Question 03 )

Differentiate e^✓x with respect to x from first principle

Solution : View On This Page

( Question 03 )

Differentiation Of logarithmic Function By first Principle

Question 01 )

Differentiate log^x , With Respect To x from first principle.

Solution : View On This Page

( Question 01 )

Question 02 )

Differentiate logaX With respect to x form first principle

Solution : View On This Page

( Question 02 )