Find the Derivative of Y with Respect to X $$y = \tan ^ { - 1 } \sqrt { 5 x }$$

question 106

Multiple Choice

Find the derivative of y with respect to x.
- $$y = \tan ^ { - 1 } \sqrt { 5 x }$$

• A) \(\frac { 1 } { 1 + 5 x }\)
• B) \(\frac { 1 } { 10 \sqrt { 5 x ( 1 + 5 x ) } }\)
• C) \(\frac { 1 } { \sqrt { 1 - 5 x } }\)
• D) \(\frac { 5 } { 2 ( 1 + 5 x ) \sqrt { 5 x } }\)

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Definitions:

Lactic Acid

A compound generated within muscles during rigorous physical activity, frequently linked to feelings of muscle tiredness and discomfort.

Glucose

A simple sugar that serves as a primary source of energy for the body's cells.

Muscular Endurance

The ability of a muscle, or group of muscles, to perform repetitive contractions over a period of time without becoming fatigued.

Aerobic Activities

Physical exercises that increase the heart rate and promote increased oxygen consumption over a sustained period.