Find the Differential of the Function at the Indicated Number $$f ( x ) = e ^ { 7 x } + \ln ( x + 8 ) ; x = 0$$

question 23

Essay

Find the differential of the function at the indicated number. $$f ( x ) = e ^ { 7 x } + \ln ( x + 8 ) ; x = 0$$

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Definitions:

New Patient

An individual consulting a healthcare provider for the first time or after a significant period without services, requiring a complete history and examination.

Physical Examination

An examination of the body undertaken by a healthcare professional to assess a patient's physical health and detect any possible signs of disease.

Double-booking

A practice in scheduling where two or more appointments are arranged at the same time slot, often to maximize efficiency or accommodate urgent needs.

Time-specified Scheduling

An appointment system where patients are given specific times for their visits, intended to increase efficiency and reduce wait times.