Chapter 3.3, Problem 26E of James Stewart calculus 8th edition.

Question

Question

math calculus

Answer 1

Answer #1

26E. (a)Consider the tunetin : さ= 3x+ 6 cc)s(T) Fe 3 335 Equaton ot tangent Line 3-34 -[Te+ 3) マース

(b) Sketch of the curve and the tangent line :

8 (T/3, 6.142) 4 y = 3x + 6cos(x)

As the slope of the tangent line is negative at the given point, the function y = 3x + 6cos(x) is decreasing in a small interval around x = $\pi$ /3

Answer 2

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