MAT 265
ASU
Course Overview
Lessons & Practice
I. Welcome
1. Optional Review
2.9hr2. Limits & Continuity [ 1.3-1.6]
1.5hr2.12.1. One-sided Limits2.12.2. Limits2.12.3. Special Limits4 min2.12.4. Limits2.12.5. Limits2.12.6. Limits2.12.7. Limits2.12.8. Limits2.12.9. Limits2.12.10. Limits: Indeterminate forms2.12.11. Limits3 min2.12.12. IVT2.12.13. IVT2.12.14. IVT5 min2.12.15. Fundamental Trig Limit5 min2.12.16. Fundamental Trig Limit3 min2.12.17. Squeeze Theorem1 min2.12.18. Squeeze Theorem4 min2.12.19. Squeeze Theorem2.12.20. Continuity
3. Limits Involving Infinity, Asymptotes [1.6]; Derivatives & Rates of Change [2.1]
26min4. Derivatives [ 2.2-2.3]
1.3hr4.6.1. Derivative by Definition4.6.2. Basic Derivatives4.6.3. Basic Derivatives1 min4.6.4. Derivative by Definition4.6.5. Chain Rule4.6.6. Chain Rule4.6.7. Quotient Rule10 min4.6.8. Quotient Rule2 min4.6.9. Power of a Function Rule2 min4.6.10. Implicit Differentiation4.6.11. Implicit Differentiation4.6.12. Second Derivative6 min4.6.13. Logarithmic Differentiation4 min4.6.14. Logarithmic Differentiation 4.6.15. Inverse Trigonometric Derivatives4.6.16. Tangent Lines4.6.17. Tangent Lines4.6.18. Horizontal Tangent Lines2 min4.6.19. Product Rule6 min4.6.20. Product Rule4 min4.6.21. Product Rule4 min4.6.22. Normal Line5 min
5. Product & Quotient Rule [ 2.4]
24min6. Chain Rule, Implicit Differentiation [2.5-2.6]
17min7. Related Rates, Linear Approximation, Differentials [2.7-2.8]
37min8. Exponential, Inverse Functions and Logarithms, Derivatives of Exp & Log Functions [3.1-3.3]
54min9. Inverse Trig Functions, L'Hospital's Rule [ 3.5, 3.7]
37min10. Max & Min Values, Mean Value Theorem [ 4.1-4.2]
29min11. Derivatives & the Shapes of Graphs [4.3]
32min12. Curve Sketching, Optimization [4.4-4.5]
37min13. Antiderivatives, areas & Distances [4.7, 5.1]
1.1hr14. The Definite Integral, Evaluating Definite Integrals [ 5.2-5.3]
51min15. The Fundamental Theorem of Calculus [5.4]
12min16. Differential Equations
1.2hrI Welcome
Free Activity
Welcome to Integral Calculus!
My name is Corey and I'm the instructor for this course. Feel free to go through this course at your own pace.
- Use the table of contents 📃 on the left to skip to parts you need help with
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Happy Studying!
Answered
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.