Question: For each function given below, identify its fundamental algebraic structure. In particular, is the function a sum, a composition of functions, a product, or

For each function given below, identify its fundamental algebraic structure. In particular,

For each function given below, identify its fundamental algebraic structure. In particular, is the function a sum, a composition of functions, a product, or a quotient? Use an appropriate rule to determine the derivative of each function. If the function is a composition of basic functions, state a formula for the inner function g and the outer function f so that the overall composite function can be written as f(g(x)). 1. h(x) = ex 2. p(x) = xe 3. r(x) = (ex) 4. w(x) = x + ex 5. z(x) = ex

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