Calculus Can Be Used to Find the Slope of the Line

question 77

Multiple Choice

Calculus can be used to find the slope of the line tangent to a curve. The slope of the tangent to the curve $y = f ( x ) \text { at } x = a$ is f'(a) . Use f'(x) to find the slope of the tangent to $y = f ( x )$ at the given value of x.
- $$f ^ { \prime } ( x ) = - x ^ { 4 } + 3 x ^ { 3 } + 5 x ^ { 2 } - 8 x + 13 \text { at } x = 2$$

• A) 25
• B) 31
• C) \(- 1\)
• D) 57

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Definitions:

Myelin sheath

A fatty layer that encases the axons of some neurons, which helps increase the speed at which information can travel along the nerve cells.

Electrically charged atoms

Atoms that have gained or lost electrons, resulting in a positive or negative electrical charge, known as ions.

Free radicals

Unstable atoms or molecules with an unpaired electron that can cause cellular damage, contributing to aging and diseases.

Cellular wastes

Unwanted or toxic byproducts produced by cells during metabolism and other biological processes, which need to be removed or recycled to maintain cellular health.