INTRODUCTORY CALCULUS I [C3T1G1]
INTRODUCTORY CALCULUS I [C3T1G1] MATH 205
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This 1 page Study Guide was uploaded by Eunice Schoen on Saturday September 26, 2015. The Study Guide belongs to MATH 205 at James Madison University taught by Ramon Mata-Toledo in Fall. Since its upload, it has received 15 views. For similar materials see /class/214027/math-205-james-madison-university in Mathematics (M) at James Madison University.
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Date Created: 09/26/15
Study Guide Test N0 3 In this test we will concentrate primarily on Sections 26 31 and 32 However there are exercises that may require material from the previous exams Section 26 page 135 of your textbook Need to know the geometric meaning of the derivative pages 136138 Need to know the meaning of average rate of change and what it represents geometrically page 139 Need to know the meaning of instantaneous rate of change and what it represents geometrically page 139 Need to know the FourStep Rule for nding the derivative of given function page 140 Do exercises 9 through 16 on page 149 Do exercises 17 through 23 parts a and b on page 149 Do exercises 27 parts a and b 28 parts a and b Do exercise 29 and 30 Remember that the velocity of an object is de ned as v gwhere s is the t distance covered by the object in a given time t See example No 6 on page 143 Section 31 page 160 of your textbook Need to know the following rule for calculating a derivative Derivative of a constant page 160 Power Rule page 161 Derivative of a constant multiple of a function page 162 Derivative of a Sum of functions page 162 Derivative of a Difference of functions page 162 Read and understand examples 7 page 164 and 8 page 165 0 Do exercises 1 through 36 on page 167 Note about the exercises Whenever is convenient remember to use the following properties of the real numbers m 4 1 Vquot x39quot x examples x5 V5 x4 and x2 6 l 2 1 n x39quot example 3 2x393 or 7 4 x x t 7 x3 3 x7 xiv To obtain the right hand side of the expression xZV do the following Divide the exponent of the x inside the square root 7 in this case by the degree of the root 3 in this case to obtain 7 32 1 Remember that in this division 7 is the dividend 3 is the divisor 2 is the quotient and 1 is the remainder
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