| 单词 | partial derivative |
| 例句 | Depending on which variable we choose, we can come up with different partial derivatives altogether, and often do. Calculus, Volume 3 2016-03-30T00:00:00Z Nirenberg, for example, has done important work on the Navier–Stokes equations that describe fluid flow, which also involve partial derivatives. 'Beautiful mind' John Nash adds Abel Prize to his Nobel 2015-03-24T04:00:00Z The Nash approach uses partial derivatives, while the dynamic approach uses total derivatives. Definition & Reality in the General Theory of Political Economy Furthermore, continuity of first partial derivatives at that point guarantees differentiability. Calculus, Volume 3 2016-03-30T00:00:00Z In Chain Rule for One Independent Variable, the left-hand side of the formula for the derivative is not a partial derivative, but in Chain Rule for Two Independent Variables it is. Calculus, Volume 3 2016-03-30T00:00:00Z The idea to keep in mind when calculating partial derivatives is to treat all independent variables, other than the variable with respect to which we are differentiating, as constants. Calculus, Volume 3 2016-03-30T00:00:00Z Another approach to calculating a directional derivative involves partial derivatives, as outlined in the following theorem. Calculus, Volume 3 2016-03-30T00:00:00Z We can calculate partial derivatives of w with respect to any of the independent variables, simply as extensions of the definitions for partial derivatives of functions of two variables. Calculus, Volume 3 2016-03-30T00:00:00Z For the following exercises, calculate the sign of the partial derivative using the graph of the surface. Calculus, Volume 3 2016-03-30T00:00:00Z For functions of two or more variables, the concept is essentially the same, except for the fact that we are now working with partial derivatives. Calculus, Volume 3 2016-03-30T00:00:00Z We can calculate a partial derivative of a function of three variables using the same idea we used for a function of two variables. Calculus, Volume 3 2016-03-30T00:00:00Z There are no points in ℝ2 that make either partial derivative not exist. Calculus, Volume 3 2016-03-30T00:00:00Z A partial derivative is a derivative involving a function of more than one independent variable. Calculus, Volume 3 2016-03-30T00:00:00Z To calculate a partial derivative with respect to a given variable, treat all the other variables as constants and use the usual differentiation rules. Calculus, Volume 3 2016-03-30T00:00:00Z The chain rule for functions of more than one variable involves the partial derivatives with respect to all the independent variables. Calculus, Volume 3 2016-03-30T00:00:00Z A partial differential equation is an equation that involves an unknown function of more than one independent variable and one or more of its partial derivatives. Calculus, Volume 3 2016-03-30T00:00:00Z This theorem says that if the function and its partial derivatives are continuous at a point, the function is differentiable. Calculus, Volume 3 2016-03-30T00:00:00Z In Partial Derivatives we introduced the partial derivative. Calculus, Volume 3 2016-03-30T00:00:00Z We must also check for the possibility that the denominator of each partial derivative can equal zero, thus causing the partial derivative not to exist. Calculus, Volume 3 2016-03-30T00:00:00Z Verify your results using the partial derivatives test. Calculus, Volume 3 2016-03-30T00:00:00Z In that case, the partial derivatives existed at the origin, but the function also had a corner on the graph at the origin. Calculus, Volume 3 2016-03-30T00:00:00Z |
| 随便看 |
英语例句辞典收录了117811条英语例句在线翻译词条，基本涵盖了全部常用单词及词组的例句翻译及用法，是英语学习的有利工具。