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:

Receptor Eye

Specialized cells located in the eye that convert light into neurotransmitters to produce visual images. This term is not exactly standard, and a more accurate phrase might be "photoreceptor cells in the eye."

Rod

A type of photoreceptor cell in the retina that is highly sensitive to light, enabling vision in low-light conditions.

Young-Helmholtz Theory

A theory of color vision proposing that the eye contains three types of receptors sensitive to red, green, and blue light.

Color-Sensitive Cones

Photoreceptor cells in the retina of the eye that are responsible for color vision.