Use the Definition of the Derivative to Calculate F '(X)

question 152

Essay

Use the definition of the derivative to calculate f '(x) if f(x) = 4x⁴ + 7 and find the equations of the tangent line and the normal line to the graph of f at x = -4.

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Definitions:

Organized Crime

Criminal activities that are planned and controlled by powerful groups and carried out on a large scale, often involving the provision of illegal goods and services.

American Capitalist Society

A society characterized by a capitalistic economy, where private ownership, profit motive, and market competition are prevalent.

Ethnic Conspiracy

A belief or theory that a particular ethnic group is secretly working to achieve malignant goals.

Organized Crime

Structured groups engaged in criminal activities, often for profit, such as drug trafficking, extortion, and money laundering.