You can get this either by implicit differentiation and the product rule, or you could get this just by putting here, here,and here the partial derivatives of this with respect to x, y, and z.
可以通过隐函数微分法和乘法法则得到,或者直接,把关于x,y,z的偏微分放进来。
Automatic differentiation, by which the derivatives of the function can be evaluated both exactly and economically, is applied to the field of scientific and engineering computation extensively.
自动微分技术能以较低的成本精确计算中大规模问题函数的导数,在科学计算、工程计算及其应用领域中有着广泛的应用。
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