Applied Mathematics - ll : Differentiation | Chapter 02 | Lecture 04 Notes For Polytechnic.
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Applied Mathematics - ll : Differentiation|Chapter 02 | Lecture 04 Notes For Polytechnic
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| ( Lecture 04 ) |
Hey Everyone, How are you ... Today I will tell you How to Derivate Very Important trigonometry Function By First Principle Which is lecture 04 of Chapter 02 Differentiation Of Applied Mathematics 2
Lecture - 04 ( Topics ) :
1 ) Differentiation From First Principles
2 ) Differentiation Of Trigonometry Function By Using First Principle
3 ) Most Important Questions of trigonometry Function By First principle.
4 ) Lecture Related Question.
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
Differentiation Of Trigonometry Function By Using First Principle
d ( Sin x ) = Cos x
dx
d ( Cos x ) = - Sinx
dx
d ( tan x ) = Sec²x
dx
d ( Sec x ) = secx tanx
dx
d ( Cot x ) = Cosec²x
dx
d ( Cosec x ) = ( Cosec x ) ( cotx )
dx
- Learn This All Important Formulas
Most Important Questions of trigonometry Function By First principle
Question 01)
Differentiate Sin²x with respect to x from first principle.
Solution :- View In This Page
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| ( Question 01 ) |
Question 02 )
Differentiate ✓ Sinx with respect to x from first principle
Solution : View In This Page
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| ( Question 02 ) |
Question 03 )
Differentiate Sin✓x with respect to x first principle
Solution : View In This Page
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| ( Questions 03 ) |
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| ( Question 03 ) |
Question 04 )
Differentiate x sinx, with respect to x using first principle.
Solution : View On This Page
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| ( Question 04 ) |
Lecture Related Questions
Lecture Related Questions
- Do Your Self ✔️
- Differentiation Lecture 04 Notes :
Learn Some Important Trigonometry Formulas
1 ) sin(x+y) = sin(x)cos(y)+cos(x)sin(y)
2 ) cos(x+y) = cos(x)cos(y)–sin(x)sin(y)
3 ) sin(x–y) = sin(x)cos(y)–cos(x)sin(y)
4 ) cos(x–y) = cos(x)cos(y) + sin(x)sin(y)
And Also ,
5 ) SinA + SinB = 2sin (A + B )/2 Cos( A - B )/2
6 ) SinA - SinB = 2Cos (A + B )/2 Sin( A - B )/2
7 ) CosA + CosB = 2Cos(A + B )/2 Cos( A - B )/2
8 ) CosA - CosB = - 2Sin (A + B )/2 Sin( A - B )/2
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