**Chapter 6 Partial Derivatives**

**6.1 Partial Derivatives: Representation and Evaluation**

• This section provides the definition and notation for partial derivatives and evaluating first, second, and third partial derivatives.

• Derivatives of functions containing one variable generally represent aspects of curves, tangent lines, and rates of change. *Partial derivatives* involve functions of more than one variable and typically represent aspects of surfaces, tangent planes, and rates of change. In these functions each variable can change independently of the other variable(s), thus affecting change in the function as a whole.

• In a graph of y = f(x), x is the *independent variable*, y is the *dependent variable*, and points that satisfy y = f(x) fall ...