14 Calculus (part one)

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14.1 Understand the idea of a derived function

14.2 Use the notations f′(x), f″(x), dy/dx, d^2y/dx^2

14.3 Know and use the derivatives of the standard functions xn (for any rational n), sin x, cos x, tanx, ex , lnx

14.4 Differentiate products and quotients of functions

14.5 Use differentiation to find gradients, tangents and normals

14.6 Use differentiation to find stationary points

14.7 Apply differentiation to connected rates of change, small increments and approximations

14.8 Apply differentiation to practical problems involving maxima and minima

14.9 Use the first and second derivative tests to discriminate between maxima and minima

14 Calculus (part one)