Discussion 3 The function k(x) = In Vx² +3 (Equation 1) is the composition of the three functions f(x) = In x, g(x) = /x , and h(x) =x² +3. Therefore, k(x) = (f og• h)(x) = f(g(h(x))) = In Vx² +3. %3D dk а) Find by taking the derivative of Equation 1 by using quick methods. dx Now, find the derivative by using the chain rule in Liebniz notation. Does this agree with the derivative found in part (a)? b) dk _ df dg dh dx dg dh dx Chain rule in Liebniz notation: h(x) = x² +3 Hint: g(h) = h f(g) = In g

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.