For What Values Of $c$ Does the Curve Have Maximum and Minimum Points for the and Minimum

question 144

Essay

For what values of $c$ does the curve have maximum and minimum points for the given function
$$f ( x ) = c x ^ { 4 } - 5 x ^ { 2 } + 1 ?$$ $$\text { Select the correct answer. }$$

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Definitions:

Equilibrium Reaction

A chemical reaction in which the forward and reverse reactions occur at the same rate, so that the concentrations of the reactants and products do not change with time.

Equilibrium Constant

A numerical value that expresses the ratio of the concentrations of products and reactants of a chemical reaction at equilibrium.

HA

Often shorthand for hydroxyapatite, a mineral form of calcium apatite; can also refer to hyaluronic acid or other context-specific chemical compounds.

Equilibrium

A state in which opposing forces or influences are balanced, often used in chemistry to describe reactions where reactants and products are formed at the same rate.