Find the Derivative of the Function $y=8 \cos ^{-1}\left(\sin ^{-1} t\right)$

question 83

Multiple Choice

Find the derivative of the function. $y=8 \cos ^{-1}\left(\sin ^{-1} t\right)$

• A) \(y^{\prime}=-\frac{8}{\sqrt{1-\left(\sin ^{-1}(t)\right)^{2}}}\)
• B) \(y^{\prime}=-\frac{8}{\sqrt{\left(1-t^{2}\right)\left(1-\sin ^{-1}(t)\right)}}\)
• C) \(y^{\prime}=-\frac{8}{\sqrt{\left(1+t^{2}\right)\left(1+\left(\sin ^{-1}(t)\right)^{2}\right)}}\)
• D) \(y^{\prime}=-\frac{8}{\sqrt{\left(1-t^{2}\right)\left(1-\left(\sin ^{-1}(t)\right)^{2}\right)}}\)
• E) \(y^{\prime}=-\frac{8}{\sqrt{\left(1-t^{2}\right)}}\)

Recognition of the various types of bribery and their illegalities.

Understanding the concept and examples of public order crimes.

Understand the impact of taxes and environmental fees on production decisions.

Comprehend the concept of user cost of capital and how it affects investment decisions.

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Definitions:

Refreezing Phase

The final step in the Lewin's change model where new behaviors or changes are solidified into the organization's culture, making them standard practice.

Performance-Contingent Rewards

Rewards or incentives that are given to employees based specifically on their performance or achievements.

Positive Reinforcement

Strengthens a behaviour by making a desirable consequence contingent on its occurrence.

Force-Coercion

A change strategy that involves using power to induce change through pressure or the use of authority, often leading to compliance but not necessarily agreement.