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The Legendary n^2+n+41 (why do we need math proofs?).An Easy Putnam Exam Problem!.Proving sqrt(2) is irrational by using the rational zero theorem.Why do you rationalize the denominator? (here's my reason).That Time Euler Was Wrong.
Master calculus 2 integral techniques with blackpenredpen's 6-hour material, covering u-substitution, trigonometric substitution, integration by parts, and more.
Quadratic Equations vs. Equations in Quadratic Form. Find the complex solutions to this quadratic equation by completing the square.Factoring 5-term polynomials by grouping. Find an equation of the line in slope-intercept form (given 2 points, parallel,…
How I Make My Calculus Exams Harder!.Solving my Calc 2 Exam#3 (Series & Power Series). Series Are NOT Scary (part 3).Series are NOT scary! (Part 1: test for divergence, telescoping, geometric, p-series)
An unfair calculus 1 homework question. When is the best time to take the derivative? Why the area under the tangent line of 1/x is special. When calculus teachers don't think the derivative question is hard enough. Why is the derivative of e^x equal to…
Master power series representations of functions in calculus with blackpenredpen's 2-3 hour material, including detailed videos on various topics.
Learn to integrate and evaluate limits using Taylor and Maclaurin series in under an hour with blackpenredpen.
Master algebraic limit evaluation with blackpenredpen's concise guide. Learn factoring, expanding power, handling complex fractions, and more in under an hour.
Learn about graph limits and continuity with blackpenredpen. Master the domain of various functions in just 1-2 hours.
Learn about limits at infinity, horizontal and vertical asymptotes, and removable discontinuity in less than an hour with blackpenredpen.
Learn the definition of derivatives in terms of limits with blackpenredpen. Understand displacement, velocity, and rational functions in under an hour.
Master derivatives with blackpenredpen's concise material, covering definitions, chain rule usage, and sketching f' from f. Ideal for Stewart Calculus 7th ed users.
Master the power rule for derivatives with blackpenredpen's concise, under 1-hour material. Learn through examples, limits as derivatives, and tangent line equations.
Master the product and quotient rules for derivatives with blackpenredpen's concise video solutions. Ideal for Stewart Calculus 7th ed learners.
Learn to derive trigonometric functions with blackpenredpen in under an hour. Master the quotient rule, cofunction identities, and power + chain rule.
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