Explanation Given information: f ( t ) = t 10 , t = 10 and t = 50 Explanation: Let f ( t ) = t 10 Differentiate with respect to t , f ' ( t ) = d d t ( t 10 ) = 10 t 9 By using definition of logarithmic derivative, d d t [ ln f ( t ) ] = f ' ( t ) f ( t ) ⇒ d d t [ ln ( t 10 ) ] = 10 t 9 t 10 ⇒ d d t [ ln ( t 10 ) ] = 10 t Thus, the logarithmic derivative of f ( t ) = t 10 is 10 t

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Chapter 5.3, Problem 2E

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The logarithmic derivative of f(t)=t10 at t=10 and t=50. Also the percentage rate of change of the functions at the points t=10 and t=50.

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Chapter 5.3, Problem 1E

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The logarithmic derivative of f ( t ) = t 10 at t = 10 and t = 50 . Also the percentage rate of change of the functions at the points t = 10 and t = 50 .

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The logarithmic derivative of f(t)=t10 at t=10 and t=50. Also the percentage rate of change of the functions at the points t=10 and t=50.

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