The partial derivative of a function f (x, y, ...) with respect to the variable x is variously denoted by.Since in general a partial derivative is a function of the same arguments as was the original function, this functional dependence is sometimes explicitly included in the notation, as in.he cross partial derivative with respect to x and y is obtained by taking the partial derivative of f with respect to x, and then taking the partial derivative of the result with respect to y, to obtain.
Considering mountains with a topographic prominence of at least 300 m (980 ft), the Matterhorn is the sixth-highest summit in the Alps and Europe outside the Caucasus Mountains. It is also the fifth-highest summit of both Valais and Switzerland and the third highest summit of both the Aosta Valley and Italy.
In an article published in Texas Longhorn Journal in December 1999, Malcolm Goodman suggested that Texas Longhorn bulls reach about 50% of their eventual tip-to-tip horn measurement at about one year of age (on average). By four years of age, they have reached approximately 95% of their maximum length. The horns of the average Texas Longhorn cow reach 50% of their eventual tip-to-tip measurement a little later, at about 15 months of age, and they reach 95% between five and six years of age. They continue to grow, but usually slow down considerably with age.