13112an3.12-13

# 13112an3.12-13 - c Kendra Kilmer February 3 2012 Section...

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Unformatted text preview: c Kendra Kilmer February 3, 2012 Section 3.7 - Derivatives of Logarithmic Functions Derivatives of Logs: • If f (x) = ln x then • If f (x) = logb x then • If g(x) = ln ( f (x)) then • If g(x) = logb ( f (x)) then Example 1: Find the derivative of each of the following functions: a) f (x) = ln x + 7 √ b) h(x) = 4x2 − 3 x + log7 x3 − 5x c) y = ln (x7 ) + 3(2)x d) y = log8 e) F (x) = ln √ 1 + x2 + 10x 5 x6 12 c Kendra Kilmer February 3, 2012 f) y = log7 g) y = x−1 x+2 5 ln((x2 + x)5 ) x3 h) f (x) = ln |x| Example 2: Find y′ and y′′ for y = ln (3x) x8 Section 3.7 Highly Suggested Homework Problems: 3, 5, 7, 9, 11, 17, 19, 21, 25, 27, 29 (Do not simplify) 13 ...
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13112an3.12-13 - c Kendra Kilmer February 3 2012 Section...

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