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Unformatted text preview: c) How fast was the flu spreading after 3 days? d) Graph the derivative; when will the flu spread at its maximum rate? What is this rate? -5,10 [ ] by-10, 30 [ ] Derivative of y = ln x To determine the derivative of the natural log function, change to exponential form and differentiate implicitly. y = ln x Calculus Section 3.9 Page 50 ln x ( ) = ln u ( ) = Example 3 Find the derivative of each function: a) y = ln x 2 b) y = ln 3 x c) y = ln 3 x + 3 ( ) d) y = ln x 2 + 5 ( ) e) y = ln sin x ( ) f) y = ln x ( ) 2 g) y = x ln x h) y = ln ln x ( ) Assignment II9 Pages 170 #1 10 all, 21 30 all, 41, 42, 48...
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