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MathReview

# MathReview - Math Review 1 due Jan 14/15 The math review is...

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Math Review 1 due: Jan, 14/15 The math review is collected on Tuesday / Monday, before the sections starts. Note that the math review will be collected with certainty. Some students asked me for books that would help them with calculus. I think, Barron°s "How to prepare for the AP Calculus 2008" is a good source. It provides lots of sample questions for training and you can get it for about \$12. However, the book contains much more than we need. The relevant chapters are 1,3a-h, and 4 a-i, L. You don°t need to worry about trigonometric functions. 1. Derivatives For each of the following functions f ( x ) calculate the deriva- tive: (a) f ( x ) = 4 x (b) f ( x ) = 3 x 2 + 3 p x (c) f ( x ) = ( x 2 + 1)(3 x ° 1) (d) f ( x ) = 7 ln(1 + x ) (e) f ( x ) = 7 ln( x 1 2 ) (f) f ( x ) = ° x 1 2 + 4 ± 3 2. Graphs: Graph the following relationships in a coordinate system with x 1 on the horizontal axis and x 2 on the vertical axis: (a) Plot x 2 = 2 x 1 + 10 and x 2 = 1 ° 3 x 1 . (b) Plot x 2 = 1 + ( x 1 ) 2 and x 2 = (1 ° x ) 2 (c) Plot x 2 = 1 + p x 1 (d) Plot all points x 1 + x 2 ± 7 and x 1 ² 0 and x 2 ² 0 .

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MathReview - Math Review 1 due Jan 14/15 The math review is...

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