Abstract
This chapter reviews the derivatives of functions and the rules of differentiation. It explains the product and quotient rules as the rules that allow the differentiation of complicated functions, provided they are built up from standard basic functions whose derivatives are known. It also includes problems that differentiate the reciprocal functions: the secant, cosecant, and cotangent. The chapter explores the use of implicit differentiation to find the derivative of the natural logarithm, y = ln x. It describes a curve as continuous if there are no sudden jumps in the function value, and differentiable if there are no sudden changes in the first derivative.
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