Find the Derivative of Y $$y = - 5 t ^ { 3 } \tanh \left( \frac { 1 } { t ^ { 2 } } \right)$$

question 24

Multiple Choice

Find the derivative of y.
- $$y = - 5 t ^ { 3 } \tanh \left( \frac { 1 } { t ^ { 2 } } \right)$$

• A) \(- 15 t ^ { 2 } \tanh \left( \frac { 1 } { t ^ { 2 } } \right) + 10 \operatorname { sech } \left( \frac { 1 } { t ^ { 2 } } \right)\)
• B) \(- 15 t ^ { 2 } \tanh \left( \frac { 1 } { t ^ { 2 } } \right) + 5 \operatorname { sech } ^ { 2 } \left( \frac { 1 } { t ^ { 2 } } \right)\)
• C) \(- 15 t ^ { 2 } \tanh \left( \frac { 1 } { t ^ { 2 } } \right) - 10 \operatorname { sech } ^ { 2 } \left( \frac { 1 } { t ^ { 2 } } \right)\)
• D) \(- 15 t ^ { 2 } \tanh \left( \frac { 1 } { t ^ { 2 } } \right) + 10 \operatorname { sech } ^ { 2 } \left( \frac { 1 } { t ^ { 2 } } \right)\)

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Persuasive Speech

A form of communication aimed at convincing the audience to adopt a particular viewpoint or take a specific action.

Cognitive Dissonance Theory

A theory suggesting that individuals experience discomfort (dissonance) when their beliefs or behaviors are inconsistent, leading them to make changes to reduce this discomfort.

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Confirmation Bias

The bias towards identifying, decoding, choosing, and memorizing details in a manner that validates one's preconceived ideas or suppositions.