BSCE11 Lecture Notes - Tynan, Southeastern Conference, Power Rule
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1 (loga u) = u ln a u (arccos u) = 1. 1 + u2 u (arccsc u) = 1 d d dx (arccot u) = 1 dx(cid:16) u v(cid:17) = (f (g(x))) = f (g(x)) g (x) (chain rule) (quotient rule) u v uv d dx v2. 1. 2 facts about derivatives: derivatives have many names. The slope of the tangent line at a point. The rate of change at a point. Each of the above ask for the exact same thing: to compute the derivative: when using the chain rule, its advisable to work from the outside function inwards. This will be described in the examples section: we need to take care of which variable with which we are taking a derivative. 5y2 = 0, since we are taking the derivative with respect to x. Since no x"s show up in the d dx equation, 5y2 is treated as a constant.
