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Limits - The Basics — Topic Review
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- Study Guide (print me!)
- Limits - Overview (p. 3-6) (11:20)
- Evaluating Limits - Overview (p. 7) (5:36)
- Indeterminate Forms (p. 8) (2:42)
- Evaluating Limits Algebraically - Piecewise Functions (p. 9) (5:26)
- Evaluating Limits Algebraically - 0/0 Form (p. 10-14) (21:28)
- Evaluating Infinite Limits - Number/0 Form (p. 15) (5:56)
- Evaluating Infinite Limits - Knowing Graphs (p. 16-17) (5:18)
- The Squeeze Theorem (p. 18) (4:42)
- Limits of Trig Functions (p. 19-20) (6:33)
Limits - The Basics — Practice Exam Questions
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- Practice Exam Questions
- Practice Exam Questions Answer Key
- Evaluating Limits from a Graph Question 1 Solution (1:52)
- Evaluating Limits from a Graph Question 2 Solution (2:38)
- Evaluating Limits Algebraically Question 1 Solution (3:54)
- Evaluating Limits Algebraically Question 2 Solution (1:22)
- Evaluating Limits Algebraically Question 3 Solution (2:26)
- Evaluating Limits Algebraically Question 4 Solution (2:05)
- Evaluating Limits Algebraically Question 5 Solution (1:42)
- Evaluating Limits Algebraically Question 6 Solution (3:35)
- Evaluating Limits Algebraically Question 7 Solution (2:30)
- Evaluating Limits Algebraically Question 8 Solution (3:32)
- Evaluating Limits Algebraically Question 9 Solution (2:23)
- Evaluating Limits Algebraically Question 10 Solution (4:22)
- The Squeeze Theorem Question 1 Solution (1:45)
- The Squeeze Theorem Question 2 Solution (1:33)
- The Squeeze Theorem Question 3 Solution (1:38)
- The Squeeze Theorem Question 4 Solution (1:57)
- The Squeeze Theorem Question 5 Solution (2:19)
- Limits of Trig Functions 1 (1:03)
- Limits of Trig Functions 2 (2:34)
- Limits of Trig Functions 3 (3:57)
- Limits of Trig Functions 4 (1:30)
Applications of Limits — Topic Review
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Applications of Limits — Practice Exam Questions
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- Practice Exam Questions
- Practice Exam Questions Answer Key
- Continuity 1 Solution (1:03)
- Continuity 2 Solution (2:02)
- Continuity 3 Solution (3:56)
- Continuity 4 Solution (3:34)
- Continuity 5 Solution (2:28)
- Continuity 6 Solution (3:00)
- Continuity 7 Solution (3:21)
- The Intermediate Value Theorem 1 Solution (4:01)
- The Intermediate Value Theorem 2 Solution (3:42)
- The Intermediate Value Theorem 3 Solution (1:28)
- The Intermediate Value Theorem 4 Solution (1:58)
- Limits at Infinity 1 Solution (9:40)
- Limits at Infinity 2 Solution (2:28)
- Limits at Infinity 3 Solution (2:48)
- Limits at Infinity 4 Solution (2:44)
- Limits at Infinity 5 Solution (0:58)
Definition of the Derivative & Differentiability — Topic Review
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Definition of the Derivative & Differentiability — Practice Exam Questions
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- Practice Exam Questions
- Practice Exam Questions Answer Key
- The Definition of the Derivative 1 Solution (3:15)
- The Definition of the Derivative 2 Solution (4:37)
- The Definition of the Derivative 3 Solution (4:12)
- The Definition of the Derivative 4 Solution (4:34)
- The Derivative as a Function 1 Solution (1:55)
- The Derivative as a Function 2 Solution (3:09)
- The Derivative as a Function 3 Solution (3:15)
- The Derivative as a Function 4 Solution (5:56)
- Differentiability 1 Solution (6:51)
- Differentiability 2 Solution (6:00)
- Differentiability 3 Solution (2:49)
- Differentiability 4 Solution (1:06)
- The Graph of the Derivative 1 Solution (4:03)
- The Graph of the Derivative 2 Solution (2:53)
- The Graph of the Derivative 3 Solution (3:49)
Derivative Rules — Topic Review
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- Study Guide (print me!)
- Derivative Rules - Overview (p. 3-4) (7:52)
- Derivatives of Polynomials and Exponents (p. 5) (11:44)
- Product and Quotient Rules (p. 6-7) (12:35)
- Finding Tangent and Normal Lines (p. 8-9) (7:31)
- Horizontal and Vertical Tangent Lines (p. 10) (3:26)
- Derivatives of Trig Functions (p. 11-12) (8:25)
- The Chain Rule (p. 13-14) (12:27)
Derivative Rules — Practice Exam Questions
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- Practice Exam Questions
- Practice Exam Questions Answer Key
- Derivative Rules 1 (1:35)
- Derivative Rules 2 (1:15)
- Derivative Rules 3 (3:15)
- Product and Quotient Rules 1 (2:01)
- Product and Quotient Rules 2 (2:40)
- Product and Quotient Rules 3 (9:02)
- Product and Quotient Rules 4 (5:44)
- Chain Rule 1 (6:27)
- Chain Rule 2 (1:51)
- Chain Rule 3 (2:20)
- Differentiation Mixed Practice 1 (0:37)
- Differentiation Mixed Practice 2 (2:45)
- Differentiation Mixed Practice 3 (5:37)
- Differentiation Mixed Practice 4 (1:24)
- Differentiation Mixed Practice 5 (0:47)
- Differentiation Mixed Practice 6 (2:42)
- Differentiation Mixed Practice 7 (2:28)
- Differentiation Mixed Practice 8 (2:30)
Implicit Differentiation and Rates of Change Applications — Topic Review
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- Study Guide (print me!)
- Implicit Differentiation (p. 3-5) (17:22)
- Logarithmic Differentiation (p. 6-8) (13:02)
- Derivatives of Inverse Functions (p. 9) (6:48)
- Derivatives of Inverse Trig Functions (p. 10-11) (8:34)
- Rates of Change Applications - Motion of Particles (p. 12-14) (17:04)
- Rates of Change Applications - Economics (p. 15) (9:20)
- Rates of Change Applications - Chem and Bio (p. 16-17) (5:21)
- Exponential Growth and Decay (p. 18-20) (16:05)
- Compound Interest (p. 21) (3:34)
Implicit Differentiation and Rates of Change Applications — Practice Exam Questions
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- Practice Exam Questions
- Practice Exam Questions Answer Key
- Implicit Differentiation 1 Solution (2:37)
- Implicit Differentiation 2 Solution (6:22)
- Implicit Differentiation 3 Solution (3:35)
- Logarithmic Differentiation 1 Solution (1:55)
- Logarithmic Differentiation 2 Solution (5:54)
- Logarithmic Differentiation 3 Solution (6:22)
- Derivatives of Inverse Functions 1 Solution (4:20)
- Derivatives of Inverse Functions 2 Solution (3:41)
- Derivatives of Inverse Trig Functions 1 Solution (2:10)
- Derivatives of Inverse Trig Functions 2 Solution (2:02)
- Derivatives of Inverse Trig Functions 3 Solution (3:44)
- Rate of Change Applications 1 Solution (6:38)
- Rate of Change Applications 2 Solution (4:21)
- Rate of Change Applications 3 Solution (10:28)
Related Rates, Linear Approximations, and Differentials — Topic Review
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Related Rates, Linear Approximations, and Differentials — Practice Exam Questions
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Hyperbolic Functions — Topic Review
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Hyperbolic Functions — Practice Exam Questions
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Maxima and Minima, Curve Sketching, and The Mean Value Theorem — Topic Review
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Maxima and Minima, Curve Sketching, and The Mean Value Theorem — Practice Exam Questions
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Optimization — Topic Review
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Optimization — Practice Exam Questions
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L'Hôpital's Rule — Topic Review
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L'Hôpital's Rule — Practice Exam Questions
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Antiderivatives and Indefinite Integrals, Initial Value Problems, and Motion — Topic Review
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Antiderivatives and Indefinite Integrals, Initial Value Problems, and Motion — Practice Exam Questions
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Newton's Method — Topic Review
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Newton's Method — Practice Exam Questions
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Definite Integrals, Area, and Average Value of a Function — Topic Review
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Definite Integrals, Area, and Average Value of a Function — Practice Exam Questions
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Fundamental Theorem of Calculus and Applications — Topic Review
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Fundamental Theorem of Calculus and Applications — Practice Exam Questions
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Substitution — Topic Review
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Substitution — Practice Exam Questions
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Your Math Tutor
Marty attended the University of Florida, where he earned a Bachelor of Science in statistics, a Bachelor of Arts in mathematics, and a Master of Science in electrical engineering.
While working as a teaching assistant for math and physics professors, he also did research on control systems. Later, he also taught high school physics and AP Computer Science.
Marty prides himself on making difficult concepts easier to understand. He’s been tutoring since he was a teenager, and he believes that anybody is capable of learning tough subjects with the right help.
Aside from working on CramBetter videos, Marty loves to learn languages, travel, and produce music. He’s fluent in Spanish and has studied French and Hebrew, too. Reach out to him if you wanna share something interesting about a language you speak!
Questions?
Check out the answers to our most frequently asked questions, or shoot us an email at [email protected] for a quick reply!
