Calculate $y ^ { \prime }$ $$y = \frac { e ^ { x } } { x ^ { 3 } }$$

question 41

Multiple Choice

Calculate $y ^ { \prime }$ .
$$y = \frac { e ^ { x } } { x ^ { 3 } }$$
Select the correct answer.

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

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Definitions:

Pending Codes

Diagnostic trouble codes stored by a vehicle's onboard computer that indicate potential issues not yet severe enough to trigger the malfunction indicator light.

DTCs

Abbreviation for Diagnostic Trouble Codes, which refer to the codes generated by a vehicle's onboard diagnostics system indicating specific issues or malfunctions.

Type C DTCs

Specific Diagnostic Trouble Codes that indicate chassis-related issues or malfunctions in a vehicle.

Type D DTCs

Diagnostic Trouble Codes associated with drivetrain issues, identifying specific problems with a vehicle's driveability.