Use Logarithmic Differentiation to Find the Derivative of the Function

question 83

Essay

Use logarithmic differentiation to find the derivative of the function.
y = (x + 7)^5/x

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Definitions:

Psychodynamic Explanation

An approach in psychology that emphasizes the role of the unconscious mind, inner forces, and childhood experiences in shaping behaviors and personalities.

Rumination Theory

The concept that persistent focusing on one's distress, and on its possible causes and consequences, exacerbates and maintains depressive symptoms.

Negative Thinking

A cognitive process involving pessimistic or detrimental thoughts, often leading to decreased motivation and emotional well-being.

Unipolar Depression

An enduring depressive disorder marked by constant sadness or a lack of enthusiasm for external activities.