$$\text { Find the derivative of the function } f ( t ) = 15 t ^ { 3 } + 6 \sec ( t ) \text {. }$$

question 169

Multiple Choice

$$\text { Find the derivative of the function } f ( t ) = 15 t ^ { 3 } + 6 \sec ( t ) \text {. }$$

• A) \(f ^ { t} ( t ) = 45 t ^ { 2 } + 6 \sec ( t ) \tan ( t )\)
• B) \(f ^ { t } ( t ) = 3 t ^ { 2 } + 6 \sec ^ { 2 } ( t )\)
• C) \(f ^ {t} ( t ) = 45 t ^ { 2 } + 6 \tan ( t )\)
• D) \(f ^ { t } ( t ) = 3 t ^ { 2 } + 6 \sec ( t ) \tan ( t )\)
• E) \(f ^ { t} ( t ) = 45 t ^ { 2 } - 6 \sec ( t ) \tan ( t )\)

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Definitions:

Blood Viscosity

The measure of the thickness and stickiness of an individual's blood, which affects how easily it flows through the vessels.

Pumping Action

It refers to a mechanical or physiological function where a fluid is moved through or out of a system, such as the heart pumping blood through the circulatory system.

Respiratory Rate

The number of breaths an individual takes per minute, an important vital sign indicating the respiratory health and metabolic function of a person.

Intracranial Pressure

The pressure exerted by fluids such as cerebrospinal fluid (CSF) within the skull on the brain tissue, used to assess and monitor conditions like head injuries or brain swelling.