Re: Distance Learning and Math Courses
So, I'm getting confused. I was taking my exam for derivatives. I can't bring examples to follow along with (which I work best with) so I was forced to just take down notes. The problem is that even though I had the various rules written down from OpenStax, I got stuck when attempting to figure out what rule applied to what problem. For example, if the exam gave me a problem like 12x^2-19x/14x, I got confused because most of the rules for derivatives require two functions, not one, and I wasn't sure how to find g(x) even if I had the original equation, which I automatically classified as f(x). Thoughts?
Edit: forgot to add that the chain rule seems, based on its definition, to be convoluted as all hell. OpenStax identifies the chain rule as: "let f and g be functions. For all x in the domain of g for which g is differentiable at x and f is differentiable at g(x), the derivative of the composite function h(x)=(fºg)(x)=f(g(x)) is given by h'(x)=f'(g(x))g'(x); alternatively, if y is a function of u and u is a function of x then dy/dx=dy/du(du/dx)." Wikipedia lists differently, and it makes a bit more sense, but I'm still stuck on how to determine g(x).
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