5.3 Partial Derivatives - Pennsylvania State University
Example 5.3.0.4 1. Find the first partial derivatives of the function f(x,t)=e t cos(⇡x) Since there is only two variables, there are two first partial derivatives. First, let’s consider fx. In this case, t is fixed and we treat it as a constant. So, et is just a constant. fx(x,t)=e t⇡sin(⇡x) Now, find ft. Here, x is fixed so cos ... ................
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