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