**Candidates should be able to:**

- differentiate hyperbolic functions and differentiate sin
^{–1}x, cos^{–1}x, sinh^{–1}x, cosh^{–1}x and tanh^{–1}x - 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 + y
^{2}.)

**Differentiation – Further Pure Maths 2 Video (2 Parts)**

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