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Chain Rule
of Differentiation So we're given an f, it's a function of x, but x itself is a function of time, or t, more general terms, right, z of t. So the question is how I am going to find the derivative of this particular function f. Well, we're going to use the chain rule as the title of this particular module recommends. So we're going to have the partial of del f del t, and then as dt dt, and then we're going to go to del f del x, right? And obviously, x itself is a function of t, so we have to dx dt. How does the x change as a function of time? And then, you know, keep going, del f del y dy dt. Last but not least, del f del z dz dt. As you will see in fluid mechanics, these x and y and t's will have more significance. |