XII Maths Chapter 6. Application of Derivatives | Page 7

2 . Let Δx be the error in the measurement of independent variable x and Δy is corresponding error in the measurement of dependent variable y . Then ,
Δy = Absolute error in measurement of y ( Δy / y ) = Relative error in measurement of y ( Δy / y ) * 100 = Percentage error in measurement of y Monotonicity of Functions 1 . Monotonic Function
A function f ( x ) is said to be monotonic on an interval ( a , b ), if it is either increasing or decreasing on ( a , b ).
2 . Strictly Increasing Function
f ( x ) is said to be increasing in D1 , if for every x1 , x2 ∈ D1 , x1 > x2 ⇒ f ( x1 ) > f ( x2 ). It means that there is a certain increase in the value of f ( x ) with an increase in the value of x .
3 . Classification of Strictly Increasing Function