Let G(x) = $\sqrt { x }$ Using the Chain Rule, Find an Expression for the Chain

question 65

Multiple Choice

Let g(x) = $\sqrt { x }$ . Using the chain rule, find an expression for the derivative of [g(f(x) ) ].

• A) \(\frac { 1 } { 2 \sqrt { f ( x ) } }\) f'(x)
• B) \(\frac { 1 } { 2 \sqrt { x } }\) f'( \(\sqrt { x }\) )
• C) \(\sqrt { x }\) f'(x) + \(\frac { 1 } { 2 }\) \(x ^ { - 1 / 2 }\) f(x)
• D) \(\sqrt { x }\) f( \(\sqrt { x }\) )
• E) none of these

Appreciate the intricacies of organizational behavior focusing on psychosocial, interpersonal, and behavioral dynamics.

Understand the importance of formal and informal elements within an organization.

Grasp the significance of experiential and structured learning in developing essential organizational skills.

Understand interdisciplinary influences on the study of organizational behavior.

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Definitions:

Wire Resistance

The electrical resistance of a wire, determined by its material, length, and cross-sectional area, affecting the flow of electric current through it.

Fleming's Left-hand Generator Rule

A rule used to predict the direction of movement in a motor, the direction of induced current, or the force on a conductor in a magnetic field, based on the thumb, forefinger, and middle finger of the left hand.

Time Constant

The time required for a system to charge or discharge to approximately 63.2% of its maximum value, characteristic of both RC and RL circuits.

R-L

Refers to a circuit that contains both resistance (R) and inductance (L), affecting the phase and amplitude of the circuit's response to an AC input.