Calculate $\frac { \mathrm { d } y } { \mathrm {~d} x }$

question 94

Multiple Choice

Calculate $\frac { \mathrm { d } y } { \mathrm {~d} x }$ . You need not expand your answer. $y = \frac { 4.2 x ^ { - 0.8 } - 0.6 x ^ { - 0.5 } } { 0.4 + x ^ { 0.1 } }$

• A) \(\frac { \left( - 3.36 x ^ { - 1.8 } + 0.3 x ^ { - 1.5 } \right) \left( 0.4 + x ^ { 0.1 } \right) + 0.1 x ^ { - 0.9 } \left( 4.2 x ^ { 0.8 } - 0.6 x ^ { 0.5 } \right) } { \left( 0.4 + x ^ { 0.1 } \right) ^ { 2 } }\)
• B) \(\frac { - 3.36 x ^ { - 1.8 } + 0.3 x ^ { - 1.5 } } { 0.4 + x ^ { 0.1 } }\)
• C) \(\frac { \left( - 3.36 x ^ { - 1.8 } + 0.3 x ^ { - 1.5 } \right) \left( 0.4 + x ^ { 0.1 } \right) - 0.1 x ^ { - 0.9 } \left( 4.2 x ^ { - 0.8 } - 0.6 x ^ { - 0.5 } \right) } { \left( 0.1 x ^ { - 0.9 } \right) ^ { 2 } }\)
• D) \(\frac { \left( - 3.36 x ^ { - 1.8 } + 0.3 x ^ { - 1.5 } \right) \left( 0.4 + x ^ { 0.1 } \right) - 0.1 x ^ { - 0.9 } \left( 4.2 x ^ { - 0.8 } - 0.6 x ^ { - 0.5 } \right) } { \left( 0.4 + x ^ { 0.1 } \right) ^ { 2 } }\)
• E) \(\frac { \left( - 3.36 x ^ { - 1.8 } + 0.3 x ^ { - 1.5 } \right) \left( 0.4 + x ^ { 0.1 } \right) - 0.1 x ^ { - 0.9 } \left( 4.2 x ^ { 0.8 } - 0.6 x ^ { 0.5 } \right) } { 0.4 + x ^ { 0.1 } }\)

Identify the biochemical processes and muscle structures involved in exercise.

Discuss how genetic mutations can affect muscle function.

Understand the structural differences between muscle types and their functional implications.

Grasp the essential mechanics of the muscular and skeletal systems, including the roles of levers and muscle contractions.

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Cultural Dimensions

The framework for understanding and comparing the cultural differences across countries, affecting behaviors, values, and workplace dynamics.

Leadership Research

The systematic study of the qualities, behaviors, and processes that make an effective leader, including strategies, influence, and outcomes.

Cultural Clusters

Groups of countries or societies that share similar cultural dimensions and characteristics.

Universally Undesirable

Characteristics or behaviors that are generally considered negative or unwelcome across different cultures and contexts.