By By (author) Bob Miller

**With Bob Miller at your part, you by no means need to be clueless approximately math back! **

Algebra and calculus are difficult on highschool scholars such as you. Professor Bob Miller, with greater than 30 years' instructing event, is a grasp at making the complicated uncomplicated, and his now-classic sequence of Clueless examine aids has helped tens of millions comprehend the cruel subjects.

Calculus-with its integrals and derivatives-is recognized for tripping up even the fastest minds. Now Bob Miller-with his 30-plus years' adventure instructing it-presents highschool calculus in a transparent, funny, and interesting way.

**Read Online or Download Bob Miller's High School Calc for the Clueless - Honors and AP Calculus AB & BC PDF**

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**Extra resources for Bob Miller's High School Calc for the Clueless - Honors and AP Calculus AB & BC **

**Example text**

We will differentiate the first term implicitly, the second term implicitly and with the product rule, and the rest the old way. 3. We will solve for dy/dx by using an algebraic trick that can save up to five algebraic steps. With a little practice, you can save a lot of time!!!! Let’s do the problem. 3y2 dy dy ϩ c x4(7y6) ϩ y7(4x3)d ϩ 3x2 ϭ 0 dx dx implicit (n ϭ 3) implicit (n ϭ 7) and product rule power derivative rule of constant We now solve of dy/dx. Once we take the derivative, it becomes an elementary algebra equation in which we solve for dy/dx.

A smaller theorem used to prove a major theorem is called a lemma. sin h ϭ1 h LEMMA 2 lim 35 0 ϭ (Ϫ1) 1 ϩ 1 ϭ (Ϫ1)(0) ϭ 0 36 BOB MILLER’S HIGH SCHOOL CALCULUS FOR THE CLUELESS If lemma 1 is true, then lemma 2 is true. Now let’s show lemma 1 is true. We now really need the unit circle (probably it made your life miserable in trig). To review, the unit circle is the circle, center at the origin, with radius 1: x2 ϩ y2 ϭ 1. The center of the circle is O. Point A is (1, 0). Point B ϭ (x, y). The angle of the sector OAB is h.

Line L4 is secant to a circle if it hits the curve in two places. DEFINITION Tangent line to a curve at the point P. A. Take point P on the curve. B. Take point Q1 on the curve. C. Draw PQ1. D. Take Q2, Q3, Q4, . . , drawing PQ2, PQ3, PQ4, . . with Qs approaching P. 23 Copyright © 2008 by The McGraw-Hill Companies, Inc. Click here for terms of use. 24 BOB MILLER’S HIGH SCHOOL CALCULUS FOR THE CLUELESS E. Do the same thing on the other side of P: Take R1, R2, . . such that R1 and R2 are approaching P.