HH_Sec_6_4 - Math 10B Lecture Examples Section 6.4 Second...

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Unformatted text preview: (9/30/08) Math 10B. Lecture Examples. Section 6.4. Second Fundamental Theorem of Calculus† Example 1 Find the derivative Answer: d dx x t4 + 7 dt. 1 d dx x t4 + 7 dt = 1 x4 + 7 4 Example 2 What is the derivative of G(x) = x Answer: G 1 π 2 sin4 t dt at x = 1 2 π? = −1 Interactive Examples Work the following Interactive Examples on Shenk’s web page, http//www.math.ucsd.edu/˜ashenk/:‡ Section 6.4: Examples 1 and 2 notes to accompany Section 6.4 of Calculus by Hughes-Hallett et al. chapter and section numbers on Shenk’s web site refer to his calculus manuscript and not to the chapters and sections of the textbook for the course. ‡ The † Lecture 1 ...
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