Practice_Exam_II

Practice_Exam_II - Practice Midterm II MAT 21A NAME...

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Practice Midterm II MAT 21A NAME: DIRECTIONS: Read the directions carefully before beginning. Remember the exam is a closed book, closed notes. Nothing should on the table except a pencil, an eraser, and this exam. NO CALCULATORS or other PAPERS allowed. Show all work, clearly and in order. When required, do not forget the units ! Circle your final answers. You will loose points if you do not circle your answers . 1

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Practice Midterm II MAT 21A NAME: Problem 1: Using the definition of a derivative find the derivative of (a) f ( x ) = 1 x 2 (b) f ( x ) = x 2 + x - 1 (c) f ( x ) = 2 x x +1 2
Practice Midterm II MAT 21A NAME: Problem 2: Find the derivatives of the following. (a) f ( x ) = x 2 +1 tan - 1 ( x 2 +1) . (b) f ( x ) = e 2 x - 1 x + 1. (c) f ( x ) = sec 2 ( x + sinx ). (d) f ( x ) = e cosx + x 2 e x . (e) f ( x ) = ( x 2 + 4 x + 3 ) sin - 1)( e x ) . (e) f ( x ) = 3

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Practice Midterm II MAT 21A NAME: Problem 3: A rock is thrown straight up in the air with an initial velocity of 160 ft/sec. The height of the rock is given by h ( t ) = 160 t - 16 t 2 .
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