For each function given below, identify its fundamental algebraic structure. In particular, is the given function a sum, product, quotient, or composition of basic functions? 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 in the form f(g(x)). If the function is a sum, product, or quotient of basic functions, use the appropriate rule to determine its derivative. a. h (x) = tan(2^x)
b. p (x) = 2xtan(x)
c. r (x) = (tan (x))^2
d. m (x) = e^tan (x)
e. w(x) = √ x + tan (x)
f. z (x) = √ tan ( x )