Using the limit definition of the derivative, determine the derivative of f(x) - x f' (2) =The image below shows the graph of the function f (x). On the same image, sketch the graph of f' (x). Clear All Draw: Freehand Draw EraserUse derivative rules to differentiate the function. Perform reasonable simplifications. 14 2 h(y) = - 44/y 13 y 2/5 h' (y ) =Use derivative rules to differentiate the function. Perform reasonable simplifications. h(x) = x cos x h' (x) =A hot dish is placed in a refrigerator and then removed from the refrigerator after one hundred minutes. Suppose that the function D(t) represents the temperature of the dish, in degrees Centigrade, t minutes after the dish is placed in the refrigerator. Responding with complete sentences and appropriate units: A. What is the meaning of the derivative, D' (t) ? B. What does D'(20) - - 7 mean in this situation? C. Is D' (t) always negative? Or does it change sign? Explain