Find the Derivative of Y $$y = - 4 t ^ { 3 } \tanh \left( \frac { 1 } { t ^ { 2 } } \right)$$

question 94

Multiple Choice

Find the derivative of y.
- $$y = - 4 t ^ { 3 } \tanh \left( \frac { 1 } { t ^ { 2 } } \right)$$

• A) \(- 12 t ^ { 2 } \tanh \left( \frac { 1 } { t ^ { 2 } } \right) + 8 \operatorname { sech } ^ { 2 } \left( \frac { 1 } { t ^ { 2 } } \right)\)
• B) \(- 12 t ^ { 2 } \tanh \left( \frac { 1 } { t ^ { 2 } } \right) + 8 \operatorname { sech } \left( \frac { 1 } { t ^ { 2 } } \right)\)
• C) \(- 12 \mathrm { t } ^ { 2 } \tanh \left( \frac { 1 } { \mathrm { t } ^ { 2 } } \right) + 4 \operatorname { sech } ^ { 2 } \left( \frac { 1 } { \mathrm { t } ^ { 2 } } \right)\)
• D) \(- 12 t ^ { 2 } \tanh \left( \frac { 1 } { t ^ { 2 } } \right) - 8 \operatorname { sech } ^ { 2 } \left( \frac { 1 } { t ^ { 2 } } \right)\)

Grasp the concept of magnification calculation and how it’s achieved using different lens combinations.

Familiarize with the terminology specific to microscopy, including parfocal, ocular, and objective lenses.

Understand the various components and functions of the cell, including organelles and structures.

Distinguish between membranous and nonmembranous organelles within the cell.

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