total derivative sentence in Hindi
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- So, the differential \ operatorname dt is applied to the total derivatives of x and y to find differentials \ operatorname dx and \ operatorname dy, which can then be used to find the contribution to \ operatorname df.
- A less obvious result is that two Lagrangians describing the same system can differ by the total derivative ( not partial ) of some function " f " ( "'q "', " t " ) with respect to time;
- The relation between the total derivative and the partial derivatives of a function is paralleled in the relation between the " k " th order jet of a function and its partial derivatives of order less than or equal to " k ".
- Holding all other things constant is directly analogous to using a partial derivative in calculus rather than a total derivative, and to running a regression containing multiple variables rather than just one in order to isolate the individual effect of one of the variables.
- The fact that \ mathbf { U } \ cdot \ mathbf { \ partial } is a Lorentz scalar invariant shows that the total derivative with respect to proper time \ frac { d } { d \ tau } is likewise a Lorentz scalar invariant.
- The existence of the total derivative " f " 2 ( "'a "') is strictly stronger than the existence of all the partial derivatives, but if the partial derivatives exist and are continuous, then the total derivative exists, is given by the Jacobian, and depends continuously on "'a " '.
- The existence of the total derivative " f " 2 ( "'a "') is strictly stronger than the existence of all the partial derivatives, but if the partial derivatives exist and are continuous, then the total derivative exists, is given by the Jacobian, and depends continuously on "'a " '.
- The total derivatives are found by totally differentiating the system of equations, dividing through by, say " dr ", treating " dq / dr " and " dp / dr " as the unknowns, setting " dI = dw = " 0, and solving the two totally differentiated equations simultaneously, typically by using Cramer's rule.
- This " special " derivative is in fact the ordinary derivative of a function of many variables along a path following the fluid motion; it may be derived through application of the chain rule in which all independent variables are checked for change along the path ( i . e . the total derivative ).
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