Find the Derivative of the Function $$y = x ^ { 6 } \cos x - 10 x \sin x - 10 \cos x$$

question 512

Multiple Choice

Find the derivative of the function.
- $$y = x ^ { 6 } \cos x - 10 x \sin x - 10 \cos x$$

• A) \(- x ^ { 6 } \sin x + 6 x ^ { 5 } \cos x - 10 x \cos x\)
• B) \(- 6 x ^ { 5 } \sin x - 10 \cos x + 10 \sin x\)
• C) \(- x ^ { 6 } \sin x + 6 x ^ { 5 } \cos x - 10 x \cos x - 20 \sin x\)
• D) \(x ^ { 6 } \sin x - 6 x ^ { 5 } \cos x + 10 x \cos x\)

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Definitions:

Marginal Utility

The change in satisfaction or utility an individual gains from consuming one additional unit of a good or service.

Consumer Equilibrium

In marginal utility theory, the combination of goods purchased that maximizes total utility by applying the utility-maximizing rule.

Prices

The amount of money required to purchase a good or service, often determined by the forces of supply and demand in the market.