# Business Smarts!

## Max Your Grade!

Module Description

Calculus I - Differentiation

Contents

This module is aimed at students who are taking their first course in calculus and have taken prior mathematics courses that included algebra, trigonometry, and geometry.

The following is a list of the specific topics this module covers.

1. Limits:
Definition, continuity, basic theorems.

2. Derivatives:
Rate of change, position, velocity, acceleration.

3. Rules of Differentiation:
Chain rule, quotient rule, reciprocal rule, product rule, sums rule, scalar multiple rule, inverse rule.

4. Graphing:
Increasing function, decreasing function, maximum, minimum, convexity, point of inflection, cusp, vertical asymptote, horizontal asymptote.

5. Optimization:
Profit maximization, revenue maximization, cost minimization.

6. Special Functions:
Trigonometric functions, logarithmic functions, exponential functions, implicit differentiation.

7. Questions: 1,000 practice questions with explained solutions.

Pre-requisites for this Module

This module requires prior knowledge of algebra and geometry.

This module is a pre-requisite for the Calculus II module on integration.

Sample Module.

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