. The graph of y : (373)33 has one horizontal tangent line. Find an equation for it. . Use logarithmic differentiation to evaluate Hf'(.r) rm 2 . Evaluate the derivative of the function. Simplify the answer. f(r1:) : .7: cos'1 it V 1 3:2 1 , . Suppose the slope of the curve 3} : f(.r) at (4, 7) is E. Find (fil),(7). . The sides of a square decrease in length at a rate of 1 m/s. (a) At What rate is the area of the square changing when the sides are 5 m long? (1)) At What rate are the lengths of the diagonals of the square changing? Inow rates . Two cylindrical swimming pools are being lled are equal' simultaneously at the same rate (in mB/min; see gure). :r'f ' 'I . ' " The smaller pool has a radius of 5 m, and the water level rises ' 'F' at a rate of 0.5 m/min. The larger pool has a radius of 8 m. "W" I , How fast is the water level rising in the larger pool? iFSma