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We use differentiation to find the rate at which a function changes as its input changes. This can give us information about the rate at which a physical process is occurring, or about how a physical quantity changes with position, for example. Partial differentiation gives us an extra facility: it is a way for us to find out about the change in a function that depends on more than one input. In real problems, physical quantities very commonly depend on more than one physical variable and we need to know how the quantity changes as we change any of these variables. For example, the sediment build-up on a river bed may be described by a function representing the thickness of the sediment. This function will depend on one or more spatial coordinates (i.e. whereabouts on the bed we look) and will also depend on time. That means we can ask two quite different questions about the sediment thickness: how rapidly does the sediment thickness change as we move over the bed, at any particular time, or how rapidly does the thickness change in time, at any particular point on the bed. Notice that these questions are about two totally different physical characteristics of the sediment build-up. The main point to remember about those two questions is the following. When we are concerned about how the thickness changes as we change one of the variables, we want to keep the other variable fixed. So if we look at different positions we do it at a particular time and if we're looking at different times we do it at a fixedposition. That idea is at the heart of the process of partial differentiation.

Q: What is difference between partial differentiation and total differentiation?

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Suppose, Z is a function of X and Y. In case of Partial Differentiation of Z with respect to X, all other variables, except X are treated as constants. But, total derivative pf z is given by, dz=(partial derivative of z w.r.t x)dx + (partial derivative of z w.r.t y)dy

total differentiation is closer to implicit differentiation although you are not solving for dy/dx. in other words: the total derivative of f(x1,x2,...,xk) with respect to xn= [df(x1,x2,...,xk)/dx1][dx1/dxn] + df(x1,x2,...,xk)/dx2[dx2/dxn]+...+df(x1,x2,...,xk)/dxn +[df(x1,x2,...,xk)/dxn+1][dxn+1/dxn]+...+[df(x1,x2,...,xk)/dxk][dxk/dxn] however, the partial derivative is not this way. the partial derivative of f(x1,x2,...,xk) with respect to xn is just that, can't be expanded. The chain rule is not the same as total differentiation either. The chain rule is for partially differentiating f(x1,x2,...,xk) with respect to a variable not included in the explicit form. In other words, xn has to be considered a function of this variable for all integers n. so the total derivative is similar to the chain rule, but not the same.

what is the meaning of sum? and total

The difference between sub total and grand total is the components that make up the price. The subtotal comes before the grand total and does not include items like shipping and tax. The grand total is the final price that does include those items and is the final price that must be paid.

there are 360 in a square and 180 in a triangle

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Suppose, Z is a function of X and Y. In case of Partial Differentiation of Z with respect to X, all other variables, except X are treated as constants. But, total derivative pf z is given by, dz=(partial derivative of z w.r.t x)dx + (partial derivative of z w.r.t y)dy

Total productivity is the goal of any business or organization. This concept is possible only in theory. The highest possible partial productivity is actually the accepted practice.

a total lunar eclipse is an eclipse which covers the moon fully. whereas a partial one is when some part of moon is covered.

total differentiation is closer to implicit differentiation although you are not solving for dy/dx. in other words: the total derivative of f(x1,x2,...,xk) with respect to xn= [df(x1,x2,...,xk)/dx1][dx1/dxn] + df(x1,x2,...,xk)/dx2[dx2/dxn]+...+df(x1,x2,...,xk)/dxn +[df(x1,x2,...,xk)/dxn+1][dxn+1/dxn]+...+[df(x1,x2,...,xk)/dxk][dxk/dxn] however, the partial derivative is not this way. the partial derivative of f(x1,x2,...,xk) with respect to xn is just that, can't be expanded. The chain rule is not the same as total differentiation either. The chain rule is for partially differentiating f(x1,x2,...,xk) with respect to a variable not included in the explicit form. In other words, xn has to be considered a function of this variable for all integers n. so the total derivative is similar to the chain rule, but not the same.

Total hysterectomy normally refer to complete removal of the uterus and sometimes include the ovaries (oophorectomy). Partial hysterectomy normally leave the cervix behind. The cervix in the part of the uterus visible from the vagina and the opening of the uterus to the outside.

A partial reboiler only partial vaporizes the bottoms liquid coming in. A total reboiler would completely vaporize this stream. A partial reboiler is advantageous because it allows dissolved light components to return to the column while minimizing the amount of heavy components that return to the column. This creates a higher purity of your desired product in the distillate stream.

# What kinds of data would you store in an entity subtype?# What is a subtype discriminator? Given an example of its use.# What is an overlapping subtype? Give an example.# What is the difference between partial completeness and total completeness?# What kinds of data would you store in an entity subtype?# What is a subtype discriminator? Given an example of its use.# What is an overlapping subtype? Give an example.# What is the difference between partial completeness and total completeness?

Total constraints are those in which a table's existence requires the existence of an associated table in a particular defined relation between them. whereas Partial constraints are involved with the tables in which presence of one table is partial for the associated table.

In a total condenser te temperature is lowerd to a level on which all gasses turn to liquids. with a partial condenser you can separate gasses on there dew point. It means that the temperature is set to a level on wich a one or several gasses leave the partial condenser as a liquid and the others as a gas.

The difference between total customer value and total customer cost is__________.

No such thing as a "partial total eclipse", sorry. Did you mean "partial lunar eclipse"? In a total lunar eclipse, the Moon goes completely into the umbra, or total shadow, of the Earth. Except for some red sunlight that passes through the Earth's atmosphere and is bent into the dark area, the Moon becomes completely dark. The remaining red glow is all of the sunrises and sunsets all the way around the world, at once. In a partial lunar eclipse, the Moon isn't quite precisely aligned with the Sun and Earth, and only part of the Moon goes into the umbra. The rest of the Moon is still sunlit. The sunlit area isn't COMPLETELY bright; it is in the "penumbra", where part of the Sun's light is blocked by the Earth. But we generally can't tell the difference between total sunlight and partial sunlight on the Moon without special instruments.

what is the meaning of sum? and total