What is the equation of the tangent to f(x) = 3x2 + 2x - 14, where the slope of the tangent is 4? Marks: 4 Use first principles to find the derivatives of the following functions. Confirm your work by using the derivative shortcuts. a. f(x) = 3x2 + 2x -14Communication: A rancher has 1000 m of fencing to enclose two rectangular corrals. The corrals have the same dimensions and one side is common. What dimensions will maximize the enclosed area? X X Marks: 8An electronic store in selling CD players with a regular price of $90. During a typical two weeks the store sells 50 units' Past sales indicate that for every $1 decrease in price the store sells ve more units during two weeks. Calculate the price that will maximize revenue. Marks: 4 The operating cost, C in dollars per hour, for an airplane cruising at a height of h metres and an air speed of 200 km/h is given by C = 4000 + h/15 + 15000000/h for the domain 1000