Find the Derivative of the Function $$f ( x ) = x \sin ^ { 8 } x$$

question 65

Essay

Find the derivative of the function. $$f ( x ) = x \sin ^ { 8 } x$$

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Definitions:

Alkanes

Hydrocarbons consisting entirely of single-bonded carbon and hydrogen atoms and are the simplest form of hydrocarbons.

Dimethylpropyl

A hydrocarbon group or moiety consisting of a propyl backbone with two methyl substituents.

Ethyl

An organic functional group or radical derived from ethane, containing two carbon atoms.

Decane

A saturated hydrocarbon with the molecular formula C₁₀H₂₂, which is a component of gasoline.