MATH-1524
VT
Course Overview
Lessons & Practice
I. Welcome
1. Functions
3hr2. Business Terminology
2hr2.1.1. Cost, Price, Revenue, and Profit2.1.2. Supply and Demand2.1.3. Marginal & Average Cost, Revenue and Profit2.1.4. Example: Average Rate of Change of Cost2.1.5. Practice: Average Profit2.1.6. Example: Marginal Cost2.1.7. Practice: Marginal Revenue given Price Function2.1.8. Practice: Marginal Revenue and Profit
3. Applications of Exponential Functions
2.2hr4. Rates of Change
1.7hr4.9.1. Derivative by Definition4.9.2. Basic Derivatives4.9.3. Basic Derivatives4.9.4. Derivative by Definition4.9.5. Chain Rule4.9.6. Chain Rule4.9.7. Quotient Rule4.9.8. Quotient Rule4.9.9. Power of a Function Rule4.9.10. Implicit Differentiation4.9.11. Implicit Differentiation4.9.12. Second Derivative4.9.13. Logarithmic Differentiation4.9.14. Logarithmic Differentiation 4.9.15. Inverse Trigonometric Derivatives4.9.16. Tangent Lines4.9.17. Tangent Lines4.9.18. Horizontal Tangent Lines4.9.19. Product Rule4.9.20. Product Rule4.9.21. Product Rule4.9.22. Normal Line
5. Derivative Rules
1.8hr5.11.1. Derivative by Definition5.11.2. Basic Derivatives5.11.3. Basic Derivatives5.11.4. Derivative by Definition5.11.5. Chain Rule5.11.6. Chain Rule5.11.7. Quotient Rule5.11.8. Quotient Rule5.11.9. Power of a Function Rule5.11.10. Implicit Differentiation5.11.11. Implicit Differentiation5.11.12. Second Derivative5.11.13. Logarithmic Differentiation5.11.14. Logarithmic Differentiation 5.11.15. Inverse Trigonometric Derivatives5.11.16. Tangent Lines5.11.17. Tangent Lines5.11.18. Horizontal Tangent Lines5.11.19. Product Rule5.11.20. Product Rule5.11.21. Product Rule5.11.22. Normal Line
6. Graphing Applications of Derivatives
5hr6.17.1. Related Rates6.17.2. Related Rates6.17.3. Related Rates6.17.4. Linear Approximation6.17.5. Linear Approximation6.17.6. Taylor Series from Definition6.17.7. Taylor Polynomials6.17.8. Maclaurin Polynomial6.17.9. Newton's Method6.17.10. Newton's Method6.17.11. L'Hopital's Rule6.17.12. L'Hopital's Rule6.17.13. L'Hopital's Rule6.17.14. Limits6.17.15. L'Hopital's Rule6.17.16. L'Hopital's Rule6.17.17. Limits6.17.18. Limits6.17.19. Extreme Value Theorem6.17.20. Rolle's Theorem6.17.21. Rolle's Theorem6.17.22. MVT6.17.23. MVT6.17.24. MVT6.17.25. MVT6.17.26. Intervals of Increase and Decrease6.17.27. Intervals of Increase and Decrease6.17.28. Critical Points6.17.29. Critical Points6.17.30. Extrema6.17.31. Extrema6.17.32. Second Derivative Test6.17.33. Curve Sketching6.17.34. Curve Sketching6.17.35. Curve Sketching6.17.36. Optimization6.17.37. Optimization6.17.38. Optimization
7. Functions of Several Variables
1.8hr8. Differential Equations
1.2hrI Welcome
Free Activity
Welcome to Calculus!
My name is Corey and I'm the instructor for this course. Feel free to go through this course at your own pace.
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Happy Studying!
Answered
Anonymous
What are the conecpts to focus on for midterm 1 at western
C
Corey M
InstructorLikely limits and differentiation techniques through the chain rule, but double-check with your instructor to see exactly what will be covered.
Unanswered
L
Layan E
Use the Intermediate Value Theorem to show that thereis a root of the given equation in the specified interval.Use the Intermediate Value Theorem to show that thereis a root of the given equation in the specified interval.
sin(x)=x2−x, x∈(1,2)
C
Corey M
InstructorWhile this isn't quite the place for this question (please refer to the IVT section in the course), and we can't really just solve random problems for you, I can give you a bit of a hint: You could try moving everything to one side of the equation and treating it like a function, and then see if you can't find function values within your specified range that return a positive value and a negative value (another hint: try the endpoints of your interval first). If you're able to do that, then the IVT tells us that there should exist a function input between those two points that returns 0 or, in other words, that is a root.