ex Consider the function f(x): = 6+ ex Compute the derivative of this function. f'(x) = (6e^x)/(6+e^x)^2 For the following questions, write inf for ∞, -inf for -∞, and NA (ie. not applicable) if no su answer exists. a.) f(x) is increasing on the interval b.) f(x) is decreasing on the interval c.) f(x) has a local minimum at d.) f(x) has a local maximum at e.)f" (x) = (36e^x-6e^(2x))/(6+e^x)^3 f.) f(x) is concave up on the interval g.) f(x) is concave down on the interval h.) f(x) has a point of inflection at