Unit 2 Radha Calculus Notes PDF

Unit 2 Application of Calculus Extreme We will learn how to locate and identify extreme values of values of a function from its derivative. functions Extreme Value Theorem Remark: What will happen if we drop the continuity condition from the extreme value theorem? Local Extremum...

Unit 2 Application of Calculus Extreme We will learn how to locate and identify extreme values of values of a function from its derivative. functions Extreme Value Theorem Remark: What will happen if we drop the continuity condition from the extreme value theorem? Local Extremum Values  A list of all local maxima will automatically include absolute maximum if there is one. Similarly, a list of Note: local minima will include absolute minimum if there is one. First Derivative Test: Critical Points Rolle’s Theorem: Mean Value Theorem: Concave Concave Concavity ? Down Up Newton’s Method ? 1642-1676 1 When does the Newton-Raphson method fail? Area Between the Curves Questions End of Unit-II