Applied Mathematics - ll : Differentiation Of Different Function|Chapter 03 | Lecture 04 Notes For Polytechnic

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Applied Mathematics - ll : Differentiation Of Different Function|Chapter 03 | Lecture 04 Notes For Polytechnic

( Lecture 04 )

Hey Everyone, How are you ... Today I will tell you How to Differentiate Of Implicit  Function, Which is lecture 04 of Chapter 03 Differentiation Of Different Function Applied Mathematics 2 

Lecture - 04 ( Topics ) :

1 ) Differentiation Of Implicit Function 

2 ) Some Important Questions 

3 ) Lecture Related Questions

( Overview )

- Differentiation Of Implicit Function

Differentiation Of Implicit Function .

Let x & y are given as function ,

Such as, 

               X & y Can't be Separated 

                

Hence, x & y are called Implicit Function

( Implicit Function )

- Some Important Questions 

Question 01 ) 

If X² + 2xy +y³ = 42 , Find dy/dx .

Solution : View On This Page 

( Question 01 )

Question 02 ) 

If x ✓ 1 + y + y ✓ 1 + x = 0 , Prove That dy/dx = - 1 / ( x +1 ) ²

Solution : View On This Page 

( Question 02 )

Question 03 ) 

If y✓ 1 - x² + x ✓ 1- y² = 1, Prove That dy/dx = - ✓( 1 - y² ) / ( 1 - X² ) .

Solution : View On This Page 



( Question 03 )

Question 04 ) 

If Sin y = xsin ( a +y ) .prove that dy/dx = Sin² ( a + y ) / Sin a .

Solution : View On This Page 

( Question 04 )

Question 05 ) 



If  X² + Y² = t - 1/t & x⁴ + y⁴ = t² + 1/t² , Prove That dy / dx = 1/X³ y 

Solution : View On This Page 

( Question 05 )

Lecture Related Questions ;

( Lecture Related Questions )

Lecture 04 | Chapter 03 | Differentiation Of Different Function Notes ;

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