differentiate

Examples of differentiate in the following topics:

• Product Differentiation

  • Oligopolies can form when product differentiation causes decreased competition within an industry.
  • Product differentiation (or simply differentiation) is the process of distinguishing a product or service from others, to make it more attractive to a particular target market.
  • This involves differentiating it from competitors' products as well as a firm's own products.
  • Differentiation is due to buyers perceiving a difference; hence, causes of differentiation may be functional aspects of the product or service, how it is distributed and marketed, or who buys it.
  • The major sources of product differentiation are as follows:

• Product Differentiation

  • Although research in a niche market may result in changing a product in order to improve differentiation, the changes themselves are not differentiation.
  • Simple: the products are differentiated based on a variety of characteristics;
  • Differentiation occurs because buyers perceive a difference.
  • The major sources of product differentiation are as follows:
  • Differentiation affects performance primarily by reducing direct competition.

• Differentials

  • Differentials are the principal part of the change in a function $y = f(x)$ with respect to changes in the independent variable.
  • The differential $dy$ is defined by:
  • The domain of these variables may take on a particular geometrical significance if the differential is regarded as a particular differential form, or a particular analytical significance if the differential is regarded as a linear approximation to the increment of a function.
  • Higher-order differentials of a function $y = f(x)$ of a single variable $x$ can be defined as follows:
  • Use implicit differentiation to find the derivatives of functions that are not explicitly functions of $x$

• Models Using Differential Equations

  • Differential equations can be used to model a variety of physical systems.
  • Differential equations are very important in the mathematical modeling of physical systems.
  • Many fundamental laws of physics and chemistry can be formulated as differential equations.
  • In biology and economics, differential equations are used to model the behavior of complex systems.
  • Give examples of systems that can be modeled with differential equations

• Solving Differential Equations

  • Differential equations are solved by finding the function for which the equation holds true.
  • Differential equations play a prominent role in engineering, physics, economics, and other disciplines.
  • Solving the differential equation means solving for the function $f(x)$.
  • The "order" of a differential equation depends on the derivative of the highest order in the equation.
  • You can see that the differential equation still holds true with this constant.

• Compensation Differentials

  • Some differences in wage rates across places, occupations, and demographic groups can be explained by compensation differentials.
  • The compensation differential ensures that individuals are willing to invest in their own human capital.
  • Not to be confused with a compensation differential, a compensating differential is a term used in labor economics to analyze the relation between the wage rate and the unpleasantness, risk, or other undesirable attributes of a particular job.
  • One can also speak of the compensating differential for an especially desirable job, or one that provides special benefits, but in this case the differential would be negative: that is, a given worker would be willing to accept a lower wage for an especially desirable job, relative to other jobs. .
  • Hazard pay is a type of compensating differential.

• Differential

  • Differential pricing exists when sales of identical goods or services are transacted at different prices from the same provider.
  • Price differentiation, or price discrimination, exists when sales of identical goods or services are transacted at different prices from the same provider.
  • Price differentiation is thus very common in services where resale is not possible, such as airlines and movie theaters.
  • Price differentiation can also be seen where the requirement that goods be identical is relaxed.
  • There are two conditions that must be met if a price differentiation scheme is to work.

• Cellular Differentiation

  • Cellular differentiation occurs so cells can specialize for different functions within an organism.
  • To develop a multicellular organisms, cells must differentiate to specialize for different functions.
  • The variation in proteomes between cell types is what drives differentiation and thus, specialization of cells.
  • Muscle satellite cells (progenitor cells) that contribute to differentiated muscle tissue
  • Mechanics of cellular differentiation can be controlled by growth factors which can induce cell division.

• Nonhomogeneous Linear Equations

  • In the previous atom, we learned that a second-order linear differential equation has the form:
  • When $f(t)=0$, the equations are called homogeneous second-order linear differential equations.
  • In general, the solution of the differential equation can only be obtained numerically.
  • Linear differential equations are differential equations that have solutions which can be added together to form other solutions.
  • Identify when a second-order linear differential equation can be solved analytically

• Differentiation Rules

  • The rules of differentiation can simplify derivatives by eliminating the need for complicated limit calculations.
  • When we wish to differentiate complicated expressions, a possible way to differentiate the expression is to expand it and get a polynomial, and then differentiate that polynomial.
  • In many cases, complicated limit calculations by direct application of Newton's difference quotient can be avoided by using differentiation rules.