MATH 110 - Techniques of Calculus I.

MATH 110 - Techniques of Calculus I. 1. Identify polynomial, rational, power, exponential, and logarithmic functions. 2. Calculate the domains of polynomial, rational, power, exponential, and logarithmic functions. 3. Calculate the sums, differences, products, quotients, and compositions of functions. 4. Model cost, revenue, profit, supply, and demand business functions. 5. Calculate equilibrium points within supply/demand markets and interpret the results. 6. Calculate or estimate finite/infinite limits of functions given by formulas, graphs, or tables. 7. Calculate one-sided limits of functions. 8. Determine whether a function given by a graph or formula is continuous at a given point or on a given interval. 9. Determine whether a function given by a graph or formula is differentiable at a given point or on a given interval. 10. Distinguish between average and instantaneous rate of change and interpret the definition of the derivative graphically. 11. Determine derivatives of some functions using the definition of derivative of a function. 12. Calculate derivatives of polynomial, rational, power, exponential, and logarithmic functions, and combinations of these functions.