back O 112 What is the average rate of change of the function y = 4x3 - 2 between x = 2 and x = 4? O -112 110 O -110back True or false? O True If f(x) is a differentiable function and g(x) = If(x)]1/", then dg ~ If(2)]-(n-1) df O False daback O -260.4 hours The temperature begins to drop on a winter day in Maine as a cold front moves in. The O 260.4 hours temperature is given by the function O -1.9 hours T(x) =12- 1 12 5x, where a is the time in O 1.9 hours hours and T (x) is the temperature in Fahrenheit. Given that T' (x) = - 5 12 ", when will the temperature be falling at a rate of 5 degrees per hour?back Suppose f(x) = -2/x. Find the equation of the line tangent to f(x) at (1, -2). O y = x+3 O y= x-3 O y= 2x -4 O y= 2x +5back O Suppose f(x) = x3. What is the instantaneous rate of change in f when x = 2? 4 O 6 O 12 24 O None of the aboveback Find the derivative of: O Cannot be determined. f(z) = (z+ 1)2 . (x-1)3. Of' (2) = 3 (2 + 1) 3 (2 - 1)7+ =(20-1)7(2+1)3 Of' ( I ) = 3 (z + 1) + 2(2 -14 (2 - 1) 4 (z + 1) 3 O f'(x) - 3( @+ 1)3 2(x - 1) 4 4(x - 1) 4 3(x + 1 3back Consider the function y= x2 - x + 7. What is the equation of the tangent line at x = 2? O y+ 9=3(x+2) O y- 9=3(x+2) O y+ 9=3(x-2) O y - 9=3(x-2)back Suppose f (x) = x2 - 3. What is the equation O y-1 = 2(x+2) of the line tangent to the curve with a slope O y - 2= 2(x+1) equal to 2? O y+ 1=2(x-2) O y+2=2(x-1)