The edge of a cube was found to be 60 cm with a possible error of 0.4 cm. Use differentials to estimate the maximum possible error in the calculated volume of the cube. Error ~ cm 3Consider the function below. f(z) = 23 +1522 Find all the critical numbers. Give your answer as a list. Answer:Let y = 3x2 + 2x + 4. Find the differential dy when x = 5 and dx = 0.4 Find the differential dy when x = 5 and dx = 0.8(2,-2) return this question to its initial state Consider the applet above. The graph shown is a continuous function on the interval [-1,2]. Move the point along the graph to find all the critical numbers. List all the critical numbersConsider the function defined on the indicated interval. f(z) = 2x3 - 24x2 + 90x - 104, [4, 7] Find the maximum and minimum values. Max: Min:Determine where the absolute extrema of f(x) = 3x2/3 - 2x on the interval [-1, 1] occur. 1. The absolute maximum occurs at x= 2. The absolute minimum occurs at x Note.Consider the function defined on the indicated interval. f(z) = 2x2 - 24x + 64, [4, 10] Find the maximum and minimum values. Max: Min:Consider the function defined on the indicated interval. f(z) = 3(2 + 5) 3 - 22, [-6, -4] Find the maximum and minimum values. Max: Min