Candidates should be able to:

• differentiate hyperbolic functions and differentiate sin^–1x, cos^–1x, sinh^–1x, cosh^–1x and tanh^–1x
• obtain an expression for \(\frac{d^2y}{dx^2}\) in cases where the relation between x and y is defined implicitly or parametrically
• derive and use the first few terms of a Maclaurin’s series for a function. (Derivation of a general term is not included, but successive ‘implicit’ differentiation steps may be required, e.g. for y = tan x following an initial differentiation rearranged as y′= 1 + y².)

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Differentiation – Further Pure Maths 2 Video (2 Parts)

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