Production Function

Determine the product function of the identify function and modulus function.

State the site of production and function of Secretin, Gastrin and Cholecystokinin.

If RR is the set of real numbers and f(x)=|x|,g(x)=x , find the product function fg.

Indicate the organs of production and function of the following hormones: (Prolactin, Insulin, Testosterone, Thyroxine).

Using the formula of differentiation of product functions show that (d)/(dx)(x^(n))=nx^(n-1) , where n is a positive integer.

Let f and g be two differentiable functions defined on an interval I such that f(x)>=0 and g(x)<= 0 for all x in I and f is strictly decreasing on I while g is strictly increasing on I then (A) the product function fg is strictly increasing on I (B) the product function fg is strictly decreasing on I (C) fog(x) is monotonically increasing on I (D) fog (x) is monotonically decreasing on I

Let f and g be two differentiable functions defined on an interval I such that f(x)>=0 and g(x)<= 0 for all x in I and f is strictly decreasing on I while g is strictly increasing on I then (A) the product function fg is strictly increasing on I (B) the product function fg is strictly decreasing on I (C) fog(x) is monotonically increasing on I (D) fog (x) is monotonically decreasing on I