Find $\frac { d y } { d x }$ If $y = x ^ { 4 } e ^ { x ^ { 10 } }$

question 108

Multiple Choice

Find $\frac { d y } { d x }$ if $y = x ^ { 4 } e ^ { x ^ { 10 } }$ .

• A) \(\frac { d y } { d x } = e ^ { x ^ { 10 } } \left( \frac { x ^ { 5 } } { 5 } + \frac { x ^ { 11 } } { 11 } \right)\)
• B) \(\frac { d y } { d x } = e ^ { x ^ { 10 } } \left( x ^ { 4 } + x ^ { 10 } \right)\)
• C) \(\frac { d y } { d x } = e ^ { x ^ { 10 } } \left( 4 x ^ { 3 } + 10 x ^ { 13 } \right)\)
• D) \(\frac { d y } { d x } = 4 x ^ { 3 } e ^ { x ^ { 10 } - 1 }\)
• E) \(\frac { d y } { d x } = 4 x ^ { 3 } e ^ { x ^ { 10 } }\)

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To dissuade or deter someone from doing something through persuasion or by creating doubts or fears.

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To keep something in an existing state or condition, preventing it from deteriorating or ensuring its continual effectiveness.

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The practice of gaining a competitive advantage or superiority over others, often through clever but sometimes dubious means.