Very good online material

http://tutorial.math.lamar.edu/Classes/CalcI/DerivativeIntro.aspx

List of the topics covered in this chapter.

The Definition of the Derivative In this section we will be looking at the definition of the derivative.

Interpretation of the Derivative Here we will take a quick look at some interpretations of the derivative.

Differentiation Formulas Here we will start introducing some of the differentiation formulas used in a calculus course.

Product and Quotient Rule In this section we will took at differentiating products and quotients of functions.

Derivatives of Trig Functions We’ll give the derivatives of the trig functions in this section.

Derivatives of Exponential and Logarithm Functions In this section we will get the derivatives of the exponential and logarithm functions.

Derivatives of Inverse Trig Functions Here we will look at the derivatives of inverse trig functions.

Derivatives of Hyperbolic Functions Here we will look at the derivatives of hyperbolic functions.

Chain Rule The Chain Rule is one of the more important differentiation rules and will allow us to differentiate a wider variety of functions. In this section we will take a look at it.

Implicit Differentiation In this section we will be looking at implicit differentiation. Without this we won’t be able to work some of the applications of derivatives.

Related Rates In this section we will look at the lone application to derivatives in this chapter. This topic is here rather than the next chapter because it will help to cement in our minds one of the more important concepts about derivatives and because it requires implicit differentiation.

Higher Order Derivatives Here we will introduce the idea of higher order derivatives.

Logarithmic Differentiation The topic of logarithmic differentiation is not always presented in a standard calculus course. It is presented here for those how are interested in seeing how it is done and the types of functions on which it can be used.

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