Hello i need help with the following 6 questions please and thank you.

Consider the curve x = y". Use implicit differentiation to verify that dy dx 11y 10 and then find dx 2 Use Implicit alTerentiation to Tina Ine derivative of each side of Ine equation. d X= dy and dx dx dx Solve for dy dx dy dx Find dx =The volume of a cube decreases at a rate of 0.2 ft3 I min. What is the rate of change of the side length when the side lengths are 7 ft? Write an equation relating the volume of a cube, V, and an edge of the cube, s. Differentiate both sides of the equation with respect to t. dV ds _ _ _ = ( {Type an expression using s as the variable.) dt dt The rate of change of the side length when the side lengths are 7 ft is : (Type an integer or a decimal. Round to ve decimal places as needed.) Find the critical points of the following function. f(x) = 75x5 - 5x3 Select the correct answer below and, if necessary, fill in the answer box to complete your choice. A. The critical point(s) is/are at x = (Use a comma to separate answers as needed. Type an exact answer, using radicals as needed.) O B. There are no critical points.Determine the location and value of the absolute extreme values of f on the given interval, if they exist. f(x) = x (x+ 6) on [ - 243,243] . . . What is the absolute maximum value of f and its location on the given interval? Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The absolute maximum value is at x = (Use a comma to separate answers as needed. Type exact answers, using radicals as needed.) O B. There is no absolute maximum of f on the given interval. What is the absolute minimum value of f and its location on the given interval? Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The absolute minimum value is at x = (Use a comma to separate answers as needed. Type exact answers, using radicals as needed.) O B. There is no absolute minimum of f on the given interval