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So far we have considered differentiation of functions of one independent variable. In many situations, we come across functions with more than one independent variable. Since the value of the function is influenced by each independent variable, the rate of change in the value of the function relative to the change in one independent variable can be studied by holding the other independent variable constant. Let z = f(x,y). The change in z for changes in x can be obtained by holding y constant. This is the basic idea behind partial differentiation. The rules for partial differentiation and ordinary differentiation are exactly the same except that when the partial derivative of one independent variable is taken, the other independent variables are treated as constant. The partial derivatives of a function f(x,y) are symbolically represented by to indicate the partial derivative with respect to x and the partial derivative with respect to y respectively.
Coming To Grips With Mathematics : How does a child acquire mathematical concepts? Can any concept be presented to a child at any stage in such a manner that the child gets some
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f(x)=4x-3 and g(x)=(x+3)/4 a)Find the function fg(x) b)Hence describe the relationship between the functions f and g c)Write down the exact value of fg(sqrt(3))
what the answer to 1/4+1/3=3/12=?
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A Stone is dropped from the top of the tower and travel 24.5 m in last second of its journey. the height of the tower is ...?
Graph ( x + 1) 2 /9 -( y - 2) 2 /4 =1 Solution It is a hyperbola. There are in fact two standard forms for a hyperbola. Following are the basics for each form. H
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How should Shoppers’ Stop develop its demand forecasts?
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