23. b) c) d) e) f) Calculus word bank. Fill in the blanks using the correct answer using words. The length of the blank does not reflect the length of the answer. concave down h) i) j) negative to zero to positive second derivative positive to zero to negative point of inflection slowing down critical numbers first derivative a) If the y-coordinate of the derivative function is negative over an interval, then the function is said to be over that interval. optimization maximizing decreasing minimum speeding up concave up The maximum endpoints midpoint continuous differentiable If f'(x) > 0 and f'(x) = 0 at x = a, there is a undefined increasing is sometimes called rate of change of the slope of the tangent at (a, f(a)) as x increases from If f'(x) changes from x < a to x > a, then (a, f(a))is a local minimum value. The absolute maximum can often be found at the If h(x) = f(x) g(x), where f(x) and g(x) are then h'(x) = f'(x)g(x) + f(x)g'(x) If you are looking at the graph of f'(x) over an interval, and its slope is always negative, then you can say that f(x) is. over that interva of an interva An object is if v(t) × a(t) <0 Values in the domain where the derivative is zero or undefined are _functions, is finding a "best" outcome for a situation in a problem.