Please help me with these questions

All change W Q1. (03.01 MC) If f(x) = h(tan(x)), then f'(x) is equal to which of the following? (10 points) Oh'(sec2 (x) ) O sec2 (x) O h '(tan(x)) Oh '(tan (x))(sec2(x))f (x ) + 2 x + 2. Let f be a function given by 4 What is the instantaneous rate of change of the derivative of fat x = -1? (10 points) O 12 O -8 O 8 O 12An airplane's height in feet during an eight-hour flight is given as h(t). Find the expression that represents the rate of change of the plane's height, with respect to time, one hour into the flight. (10 points) Oh ' (1) Oh " ( 1 ) O h ( 1) - h(0) 1-0 O Ah 41A particle in rectilinear motion is defined as s(t) = -In(-4t + 4) + cos(2t) for t 2 0 seconds, where s is given in meters. Find the instantaneous rate of change in position, in meters per second, at t = 2. (10 points) 0.25 - sin4 O -1 - 2sin4 O 1 - 2cos4 O 1 - 4cos4The amount of medication, in milligrams, in a patient's bloodstream after t hours, can be represented by the following function: 100 1+e"'08 le)= What is the rate of change for the amount of medication in the patient's bloodstream after 3 hours? (10 points) 0 2.1881 mg/hr 0 2.1402 mg/hr 0 0.0479 mg/hr 0 2.1881 mg/hr A particle moves along the yaxis such that its position at time t is given by y(t) = t3 - 3t2 for t 2 D. At what time is the particle speeding up? (10 points)