Find $\frac { d ^ { 4 } } { d x ^ { 4 } } \left( x ^ { 3 } \ln x \right)$

question 78

Multiple Choice

Find $\frac { d ^ { 4 } } { d x ^ { 4 } } \left( x ^ { 3 } \ln x \right)$

• A) \(\frac { d ^ { 4 } } { d x ^ { 4 } } \left( x ^ { 3 } \ln x \right) = \frac { 1 } { x }\)
• B) \(\frac { d ^ { 4 } } { d x ^ { 4 } } \left( x ^ { 3 } \ln x \right) = \frac { 3 } { x ^ { 4 } }\)
• C) \(\frac { d ^ { 4 } } { d x ^ { 4 } } \left( x ^ { 3 } \ln x \right) = \frac { 6 } { x }\)
• D) \(\frac { d ^ { 4 } } { d x ^ { 4 } } \left( x ^ { 3 } \ln x \right) = \frac { 6 } { x ^ { 2 } }\)
• E) \(\frac { d ^ { 4 } } { d x ^ { 4 } } \left( x ^ { 3 } \ln x \right) = \frac { 6 } { x ^ { 4 } }\)

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Definitions:

Dendrites

The branch-like structures of neurons that receive messages from other neurons and conduct impulses towards the cell body.

Terminal Buttons

Small structures at the end of a neuron's axon that release neurotransmitters to communicate with other neurons.

Neuron's Cell

The basic working unit of the brain, a specialized cell designed to transmit information to other nerve cells, muscle, or gland cells.

Computational Device

An electronic machine or system, such as a computer, that performs automated calculations or processing of information.