MA 125 Final Exam Outline

Calculus I - 2018 Spring

The final exam will be multiple choice and based upon some of the following objectives from your MyLabMath Study Plan. (Not all objectives will be used.)

• 1.3 Trigonometric Functions
• Evaluate trigonometric functions using the addition formulas for sine and cosine.
• 1.5 Exponential Functions
• Apply the laws of exponents.
• 1.6 Inverse Functions and Logarithms
• Solve logarithmic and exponential equations.
• 2.2 Limit of a Function and Limit Laws
• Find the limit of algebraic functions.
• 2.4 One-Sided Limits
• Find one-sided limits algebraically.
• 2.5 Continuity
• Find values that make a function continuous.
• 2.6: Limits Involving Infinity; Asymptotes of Graphs
• Find limits as x approaches infinity or negative infinity.
• 3.3 Differentiation Rules
• Find the first derivative of a function.
• 3.4 The Derivative as a Rate of Change
• Find an object’s displacement, velocity, and acceleration.
• 3.5 Derivatives of Trigonometric Functions
• Find derivatives of trigonometric functions.
• 3.6 The Chain Rule
• Use the Chain Rule to find first derivatives.
• 3.7 Implicit Differentiation
• Use implicit differentiation to find first derivatives.
• 3.8 Derivatives of Inverse Functions and Logarithms
• Use logarithmic differentiation.
• 3.9 Inverse Trigonometric Functions
• Find derivatives of inverse trigonometric functions.
• 3.10 Related Rates
• Solve applications involving related rates.
• 3.11 Linearization and Differentials
• Find the linearization of a function.
• For sections 4.1-5.4, any objective from the Study Plan may be used (but not all will be used).