Suppose $f ( x ) = ( \sec x + \tan x ) ( \sec x - \tan x )$

question 59

Essay

Suppose $f ( x ) = ( \sec x + \tan x ) ( \sec x - \tan x )$ (a) Use the product rule to differentiate $f ( x )$ (b) What does the value of the derivative tell you?
(c) How can you arrive at this simple result more quickly?

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Definitions:

Quantity Supplied

The overall quantity of a particular product or service that vendors are willing and prepared to trade at an agreed price during a defined time period.

Supply Increase

A situation in economics where the quantity of goods or services offered by businesses grows, typically leading to lower prices if demand remains constant.

Supply Decrease

A reduction in the overall amount of goods and services that producers are willing and able to offer at a given price level.

Demand Increase

A rise in the quantity of a product or service that consumers are willing and able to purchase at various prices.