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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.
First, larger the number (ignoring any minus signs) the steeper the line. Thus, we can use the slope to tell us something regarding just how steep a line is. Next, if the slope
f(x)=x^2-5x+6, determine inverse of f(x)!
Kristen earns $550 each week after taxes. She deposits 10% of her income in a savings account and 7% in a retirement fund. How much does Kristen have left after the money is taken
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objective of linear programming?
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Example of quotient rule : Let's now see example on quotient rule. In this, unlike the product rule examples, some of these functions will require the quotient rule to get the de
Project part A, part B, part C
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