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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.
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difference between PERT and CPM
The line 4x-3y=-12 is tangent at the point (-3,0) and the line 3x+4y=16 is tangent at the point (4,1). find the equation of the circle. solution) well you could first find the ra
The positive value of k for which x 2 +Kx +64 = 0 & x 2 - 8x + k = 0 will have real roots . Ans: x 2 + K x + 64 = 0 ⇒ b 2 -4ac > 0 K 2 - 256 > 0 K
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Mark intends to tile a kitchen floor, which is 9 by 11 ft. How many 6-inch tiles are required to tile the floor? a. 60 b. 99 c. 396 c. Since the tiles are calculated in
Solve following x - x e 5 x + 2 = 0 . Solution : The primary step is to factor an x out of both terms. DO NOT DIVIDE AN x FROM BOTH TERMS!!!! Note as well that it i
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Can anybody provide me the solution of the following example? You are specified the universal set as T = {1, 2, 3, 4, 5, 6, 7, 8} And the given subjects of the universal s
Theorem, from Definition of Derivative If f(x) is differentiable at x = a then f(x) is continuous at x =a. Proof : Since f(x) is differentiable at x = a we know, f'(a
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