Note that "u" in the above formulas refers to a function of "x" and hence implies the chain rule. "u'" is the derivative of "u" with respect to "x", or "du/dx".
I have also included the previous charts on EVT, MVT, and Rolles Theorem, as well as basic concepts and definitions. You should know that a critical value is where f'(x)=0 or DNE, and that relative extrema always occur at critical values, but a critical value does not guarantee the existence of relative extrema, as in f(x)=x^3 at x=0.
Mr. Flint, why are there u' in some of these derivatives... for example if you look at dy/dx(tan u) it says (sec^2 u)*u' why is there a "u'" there? Shouldn't it just be dy/dx(tanu) = (sec^2u)?
ReplyDeleteJust kidding, it's the chain rule.
ReplyDeleteNo one escapes the chain rule. No one.
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