Plus Two Maths Notes Chapter 6 Application of Derivatives is part of Plus Two Maths Notes. Here we have given Plus Two Maths Notes Chapter 6 Application of Derivatives.

Board | SCERT, Kerala |

Text Book | NCERT Based |

Class | Plus Two |

Subject | Maths Notes |

Chapter | Chapter 6 |

Chapter Name | Application of Derivatives |

Category | Kerala Plus Two |

## Kerala Plus Two Maths Notes Chapter 6 Application of Derivatives

- Let y =
*f*(x) then rate of change of y, with respect to x. - The slope of the tangent at (x
_{0,}y_{0}) is*f*‘(x_{0})

The slope of the Normal at (x_{0.}y_{0}) is-1/*f’*(x_{0})

The equation of the tangent at (x_{0,}Y_{0}) is

The equation of the Normal at (x_{0,}y_{0}) is

- If
*f*(x) > 0 for all x ∈ (a, b) ⇒*f*(x) is increasing in (a,b)

If*f*’(x) < 0 for all x ∈ (a,b)*f*(x) is decre asing in (a,b) - x = c is called a point of local maxima if
*f*‘(e) = o and*f*”(c) < 0 - x = e is called a point of local minima if
*f ‘*‘(e) = o and*f*”(c)> o - x = c is called a point of inflexion if
*f*‘(c) =*f ”*(c) = o and*f ”*‘(c) ≠ o - Let y =f(x) then approximate value of
*f*

(x + Δx) is*f*(x + Δx) =*f*(x) +*f*‘(x).Δx

or

ΔY = thus Ax is given, Ay can be calculated.

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