Find the Derivative of the Function $y ( x ) = 7 \cos \left( e ^ { x } \right) + 9 e ^ { x } \cos x$

question 14

Multiple Choice

Find the derivative of the function. $y ( x ) = 7 \cos \left( e ^ { x } \right) + 9 e ^ { x } \cos x$

• A) \(y' ( x ) = e ^ { x } \left( - 7 \sin \left( e ^ { x } \right) + 9 \cos x - 9 \sin x \right)\)
• B) \(y' ( x ) = - 7 \sin \left( e ^ { x } \right) + 9 \sin x - 9 \cos x\)
• C) \(y' ( x ) = - 7 \sin \left( e ^ { x } \right) + 9 \cos x - 9 \sin x\)
• D) \(y '( x ) = e ^ { x } \left( - 7 \sin \left( e ^ { x } \right) - 9 \cos x + 9 \sin x \right)\)
• E) \(y ^ { \prime } ( x ) = e ^ { x ^ { 2 } } \left( - 7 \sin \left( e ^ { x } \right) - 9 \cos x + 9 \sin x \right)\)

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The difference between sales revenue and variable costs of a product or service, indicating the amount contributed towards covering fixed costs and generating profit.

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The level of revenue necessary for a firm to cover all its operating expenses and financial costs, achieving a net income of zero.