5. APPLICATIONS OF DERIVATIVES
www.supermath.info/Calc85to101.pdfAPPLICATIONS OF DERIVATIVES Derivatives are everywhere in engineering, physics, biology, economics, and much more. In this chapter we seek to elucidate a number of general ideas which cut across many disciplines. Linearization of a function is the process of approximating a function by a line near some point.
CHAPTER 3 APPLICATION OF DIFFERENTIATION
syedpkb.files.wordpress.com › 2013 › 06CHAPTER 3 APPLICATION OF DIFFERENTIATION 3.1 MAXIMUM, MINIMUM AND INFLECTION POINT & SKETCHING THE GRAPH Introduction to Applications of Differentiation In Isaac Newton's day, one of the biggest problems was poor navigation at sea. Before calculus was developed, the stars were vital for navigation. Shipwrecks occured because the ship was not
Applications of Differentiation Handout
www.uis.edu › ctl › wp-contentApplications of Differentiation 2 The Extreme Value Theorem If f is continuous on a closed interval[a,b], then f attains an absolute maximum value f (c) and an absolute minimum value )f (d at some numbers c and d in []a,b. Fermat’s Theorem If f has a local maximum or minimum atc, and if )f ' (c exists, then 0f ' (c) = . Critical Number