Differentiation

The DerivativeSign up

understand the derivative of f(x) as the gradient of the tangent to the graph of y = f(x) at a general point, and use the notations dy/dx and f'(x) · be able to differentiate x^n for any rational n, including sums and constant multiples of such terms · be able to differentiate from first principles for simple polynomial functions

Applications of DifferentiationSign up

be able to find equations of tangents and normals to a curve at a given point · be able to locate stationary points of a curve and determine their nature using the second derivative or sign of the first derivative · be able to apply differentiation to problems involving rates of change, optimisation and curve sketching