Applications of differentiation – A guide for teachers (Years 11–12) Principal author: Dr Michael Evans AMSI Peter Brown University of NSW
In this chapter we explore many applications of differentiation We learn to find maximum and minimum values of functions and that skill
Here is the outstanding application of differential calculus There are three steps: Find the function find its derivative and solve ft(z) = 0
7 jan 2019 · DIFFERENTIATION AND APPLICATIONS OF DERIVATIVES 1 INTRODUCTION The rate of change of one dependent quantity with respect to another
In this chapter we will study applications of the derivative in various disciplines In this section we will use differentiation to find out whether a
15: APPLICATIONS OF DIFFERENTIATION Stationary Points We can use differential calculus to We can use the first derivative or the gradient
(slope of tangent at P) Therefore when ?x ? 0 ?y is approximately equal to dy Example 29 7 Using differentials find the approximate
Business and Economics Applications 262 2 7 Implicit Differentiation and Related Rates B 2 First-Order Linear Differential Equations
3 Applications of Differentiation 31 3 1 Introduction pays attention to how mathematics is written and attempts to use a
1(b) we can use the tools of calculus to study it A typical cost function is analyzed in Example 1 y x Cost 1 Production level