Differential (Noun)
Meaning 1
A quality that differentiates between similar things.
Classification
Nouns denoting attributes of people and objects.
Examples
- The unique design of the new smartphone is a key differential that sets it apart from its competitors.
- The different flavors are a differential in this line of soft drinks that make them more appealing to various consumers.
- Highly skilled and experienced staff is often seen as a differential between top-rated and average-rated service providers.
- For many customers the environmentally friendly aspect is a differential that influences their decision when choosing between similar products.
- The addition of live support and after-sales service is the differential that distinguishes this online retailer from others in the market.
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Meaning 2
The result of mathematical differentiation; the instantaneous change of one quantity relative to another; df(x)/dx.
Classification
Nouns denoting cognitive processes and contents.
Examples
- The differential of the function f(x) = x^2 is f'(x) = 2x, representing the rate of change of the function with respect to x.
- To find the instantaneous velocity of an object, we need to compute the differential of its position function with respect to time.
- The differential of the cost function with respect to the number of units produced will help us determine the rate at which the total cost changes.
- The engineer calculated the differential of the force function to analyze the relationship between force and displacement.
- In calculus, the differential of a function is used to study the behavior of a function at a given point, providing information about its rate of change.
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Meaning 3
A bevel gear that permits rotation of two shafts at different speeds; used on the rear axle of automobiles to allow wheels to rotate at different speeds on curves.
Classification
Nouns denoting man-made objects.
Examples
- The car's differential allowed the wheels to rotate at different speeds when navigating a tight turn.
- Differentials are crucial components of vehicles as they enable proper traction and reduced wear on the wheels.
- A gear differential was installed in the vehicle to ensure smooth cornering by managing wheel speeds.
- Automotive manufacturers often equip their vehicles with open differentials for maximum efficiency and traction.
- During the car's check-up, the mechanic inspected the differential to determine if it required maintenance or replacement.