LIMITS AND DERIVATIVES 2. The idea of a limit underlies the various branches of calculus. It is therefore appropriate to begin our study of calculus.
2 Derivatives. 2.1 Derivatives and Rates of Change.
DERIVATIVES 3. DERIVATIVES In this chapter, we begin our study of differential calculus. This is concerned with how one quantity changes in relation.
DIFFERENTIATION RULES We know that, if y = f (x), then the derivative dy/dx can be interpreted as the rate of change of y with respect to x.
DERIVATIVES 3. 3.1 Derivatives and Rates of Change DERIVATIVES In this section, we will learn: How the derivative can be interpreted as a rate of change.
As we saw in Section 2.1, the problem of finding the tangent line to a curve and the problem of finding the velocity of an object both involve finding.
3.1 Derivatives and Rates of Change 12.7 Derivatives and Rates of Change.
2.3 The Derivative
2.4 Rates of Change and Tangent Lines Calculus. Finding average rate of change.
The Derivative Objective: We will explore tangent lines, velocity, and general rates of change and explore their relationships.
3.7 Rates of Change in the Natural and Social Sciences
Differentiation Rules 3. Rates of Change in the Natural and Social Sciences 3.8.