Differentiation Of Different Function | Chapter 03 | Lecture 03 Notes For Polytechnic

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

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

Lecture - 03 ( Topics ) :

1 ) Differentiation Of Parametric Function 

2 ) Some Important Questions 

3 ) Lecture Related Questions

- Differentiation Of Parametric Function

Differentiation Of Parametric Function .

Let x & y are given as function ,

Define as, 

                 X = g ( t )  &  Y = g ( t ) 

Hence, x & y are called Parametric Function & t is called parameter.

Then, differentiation of y, w.r.t x 

             dy/ dx = dy/dt . dt/dx

 

Or.       dy/dx  = dy/dt ÷ dx/ dt 

- Some Important Questions 

Question 01 ) 

If X = 3Cosθ - Cos3θ, Y = 3Sinθ - Sin3θ , Find dy/dx .

Solution : View On This Page 

Question 02 ) 

Find dy/dx, when x = a Cos³t  & y = a Sin³t 

Solution : View On This Page 

Question 03 ) 

If x = a Cosθ, Y = bSinθ & ( dy/dx ) at θ =π/4 is 1 .Find The relation between a & b 

Solution : View On This Page 

Question 04 ) 

For a positive Constant 'a' , Find dy/dx where y = a ^ ( t +1/t ) & x = ( t + 1/t )^a

Solution : View On This Page 

Lecture Related Questions :

Lecture 03 | Chapter 03 | Differentiation Of Different Function :

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