Every problem in the chapter beside the book’s answer, a chapter at a time as you scroll.
Chapter 7: Practice: Differentiation
30 problems · 105 figuresThe Derivative of |x| §7.2 source ↗
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1. §7.3 source ↗
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2. §7.3 source ↗
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3. §7.3 source ↗
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Continuous but not Smooth §7.4 source ↗
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1. §7.5 source ↗
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2. §7.5 source ↗
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3. §7.5 source ↗
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4. §7.5 source ↗
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5. §7.5 source ↗
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The Function sinc(x) §7.7 source ↗
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Smoothing a Piecewise Polynomial §7.8 source ↗
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Quotient Rule Practice §7.9 source ↗
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Do We Need the Quotient Rule? §7.10 source ↗
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Implicit Differentiation and the Second Derivative §7.12 source ↗
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Implicit Differentiation and the Chain Rule §7.13 source ↗
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Derivative of the Square Root Function §7.14 source ↗
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1. §7.15 source ↗
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2. §7.15 source ↗
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1. §7.16 source ↗
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2. §7.16 source ↗
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3. §7.16 source ↗
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4. §7.16 source ↗
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5. §7.16 source ↗
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1. §7.17 source ↗
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2. §7.17 source ↗
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3. §7.17 source ↗
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1. §7.17 source ↗
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2. §7.17 source ↗
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Hyperbolic Angle Sum Formula §7.18 source ↗
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Exercises and answers are adapted from 18.01SC Single Variable Calculus by Prof. David Jerison, which is free to read and download, and are used under the CC BY-NC-SA 4.0 licence. They are taken from the course’s problem and solution PDFs, cropped as printed, and set for the web, so they may differ slightly from the printed page. This adaptation is released under the same licence and is neither affiliated with nor endorsed by Jerison or MIT OpenCourseWare.