Fill in the Blank - ***Choose one word or phrase from the box below to complete each sentence correctly, Each word or phrase is only used ONCE!* * * chain . limit . linear . infinte limit concavity . constant . concave up . limits at infinity increase product . concave down extrema derivative instantaneous . inflection . differentiate 1. (16 points) [K, C] (a) To find the derivative of a function, you need to the function. (b) If f" (x) > 0 over an interval, then the function will be over that interval. (c) In order to differentiate f (x) = 2x sin(x), you will need to use the rule. (d) Maximum and minimum points can also be called the of a function. (e) One can use. to describe the end behaviour of a rational function. (f) If a limit is "equal" to infinity, then we say it is an (g) The of a function changes at a point of (h) If a function has a maximum at a = o, then the function must be at () If f'(z) = 0, then f() is a function. () If g(x) is a composite function, then we need to use the rule to differentiate it. (k) If " >0, over an interval ce(a, b), then the function y will have an interval of from a to b. (1) The of a function is defined by taking the of the difference quotient. (m) The slope of the tangent line at z = a is equal to the rate of change of the function at a. (n) The derivative of a quadratic function will always be a function.3. (11 points) [K, A] For the graph below state (a) the intervals where the function is increasing (e) ONE interval where f"(z) > 0 (b) the intervals where f'(x)