FORMULAS REVIEW.pdf - Calculus I MAT201 N Mosina Calculus 1...

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Calculus I MAT201 N. Mosina 1 Calculus 1 MAT 201 Dr. N. Mosina Basics – Things to Remember for Exam 1. Note: The list below emphasizes important formulas, identities, and concepts. Be aware that this list is not exhaustive. You are responsible for everything we do in class and in HW assignments. Basic Derivatives: If y = f ( x ), we use prime notation f ( x ) or Leibnitz notation dy dx to denote differentiation operation. 1. ( x n ) = nx n 1 2. ( e x ) = e x 3. ( a x ) = a x ln a 4. (sin x ) = cos x 5. (cos x ) = - sin x 6. (tan x ) = sec 2 x 7. (cot x ) = - csc 2 x 8. (sec x ) = sec x tan x 9. (csc x ) = - csc x cot x Study Rules of Differentiation (Product Rule, Quotient Rule, Chain Rule, . . . ) Make sure you know the following: Concept of one-sided limits. When does limit exist? Definition of the Derivative f ( x ) and how to apply it. Velocity. Acceleration. Intermediate Value Theorem and how to apply it. Squeeze Theorem and how to apply it. Wonderful limit (lim
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