Use logarithmic differentiation to find dy/dx. (x + 1)(x - 7 (x - 1)(x + 7) x > 7 Step 1 The given function y is positive for all x greater than seven. Hence, the function In y is defined defined in the domain of x. Obtain the natural logarithm of the function y, using the logarithmic properties In ab- In a + In b and = In a In b, where a and b are positive. In y = In(x + 1) + +In(x - 7) E - In(x - 1) - In(x + 7) Step 2 Use the rule for logarithmic differentiation, in x) = Obtain the derivative, ax

Use logarithmic differentiation to find dy/dx. (x + 1)(x - 7 (x - 1)(x + 7) x > 7 Step 1 The given function y is positive for all x greater than seven. Hence, the function In y is defined defined in the domain of x. Obtain the natural logarithm of the function y, using the logarithmic properties In ab- In a + In b and = In a In b, where a and b are positive. In y = In(x + 1) + +In(x - 7) E - In(x - 1) - In(x + 7) Step 2 Use the rule for logarithmic differentiation, in x) = Obtain the derivative, ax

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.1: Exponential Functions

Problem 57SE: Repeat the previous exercise to find the formula forthe APY of an account that compounds daily....

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