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∙ 2009-12-16 11:33:52Suppose, 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
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∙ 2009-12-16 11:33:52total 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.
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.
Complementary angles total 90 degrees. Supplementary angles total 180 degrees.
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Population is total number of people who live in a geographical area
partial is PART, total is TOTAL
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.
A partial eclipse is where the eclipse is only covering half of the sun/moon. A total eclipse (or full eclipse) is where is the illuminated object is fully submerged in the shadow of the affecting planet/moon.
Total eclipse is when,for a few moments. the moon passes between sun and earth and completely blocks off sunlight to earth. In partial eclipse the moon does not pass completely between sun and earth allowing some sunlight through.
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.
analgesics: don't always stop pain completely. Anesthesia: total or partial loss of bodily sensations.
dysphasia = difficulty speaking; impairment of speech and verbal comprehension aphasia = partial or total loss of the ability to speak
The differnence between a total solar eclipse and a partial solar eclipse is that a total solar eclipse you can see the moon appear to cover the sun completely and then the sky becomes dark that you can see the stars and a total solar eclipse lasts no longer than about seven minutes. The partial solar eclipse is similar to a total solar eclipse except that the moon never completely covers the sun. From- Amanda amondo
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.
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.
What is the difference between theodolite and total station?