Calculate the Derivative of the Function $f ( x ) = \left( x ^ { 2 } + 5 x \right) ^ { 3 }$

question 17

Essay

Calculate the derivative of the function.
​ $f ( x ) = \left( x ^ { 2 } + 5 x \right) ^ { 3 }$

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Definitions:

Arachidic Acid

A saturated fatty acid with a 20-carbon chain, found in certain plant oils and the fat components of some animals.

Carbon Atoms

The fundamental building blocks of all organic molecules, characterized by having six protons in their nucleus.

Melting Point

The temperature at which a solid becomes a liquid at atmospheric pressure.

Intermolecular Forces

Forces of attraction or repulsion which act between neighboring particles, such as atoms or molecules, affecting the physical properties of substances.