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 Limits2.12.4. Limits2.12.5. Limits2.12.6. Limits2.12.7. Limits2.12.8. Limits2.12.9. Limits2.12.10. Limits: Indeterminate forms2.12.11. Limits2.12.12. IVT2.12.13. IVT2.12.14. IVT2.12.15. Fundamental Trig Limit2.12.16. Fundamental Trig Limit2.12.17. Squeeze Theorem2.12.18. Squeeze Theorem2.12.19. 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 Derivatives4.6.4. Derivative by Definition4.6.5. Chain Rule4.6.6. Chain Rule4.6.7. Quotient Rule4.6.8. Quotient Rule4.6.9. Power of a Function Rule4.6.10. Implicit Differentiation4.6.11. Implicit Differentiation4.6.12. Second Derivative4.6.13. Logarithmic Differentiation4.6.14. Logarithmic Differentiation 4.6.15. Inverse Trigonometric Derivatives4.6.16. Tangent Lines4.6.17. Tangent Lines4.6.18. Horizontal Tangent Lines4.6.19. Product Rule4.6.20. Product Rule4.6.21. Product Rule4.6.22. Normal Line
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.
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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.