DerivativeDefn.mws Big e.g. e.g. General Rates of Change. e.g. Find the rate of change of f(x) = x^2-2*x; when x = -1 using both limit definitions. e.g. Find g'(a) if g(x) = 1/x; both ways. The Slope of the Tangent Line to y = f(x); at (a,f(a)). e.g. Find the slope of y = f(x) at (a,f(a)) if f(x)=x^3. Use this to find the tangent line to f at (2,8). More Definitions and E.G.'s Show that h(x) = abs(x); is not differentiable. Notations for the Derivative Functional Notations: f' and y' Operator Notations: Differentiability ==> Continuity