# Calculus I - Derivatives - Pauls Online Math Notes

In this chapter we introduce Derivatives. We cover the standard derivatives formulas including the product rule, quotient rule and chain rule as well as derivatives of polynomials, roots, trig functions, inverse trig functions, hyperbolic functions, exponential functions and logarithm functions. We also cover implicit differentiation, related rates, higher order derivatives and logarithmic.

## Calculus II - ConvergenceDivergence of Series

In this section we will discuss in greater detail the convergence and divergence of infinite series. We will illustrate how partial sums are used to determine if an infinite series converges or diverges. We will also give the Divergence Test for series in this section.

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THE CALCULUS PAGE PROBLEMS LIST Beginning Differential Calculus: Problems on the limit of a function as x approaches a fixed constant; limit of a function as x approaches plus or minus infinity; limit of a function using the precise epsilon/delta definition of limit; limit of a function using l'Hopital's rule.prime:programming:cas-calculus_commands HP Calculator Wiki Return to the Prime Programming Page: Prime Programming Language (PPL) This section will cover the Calculus commands of the HP Prime. Unless noted, the commands are practically useful only in CAS Mode and in CAS programs. Examples given in this section.