Business Calculus

Q1 - Find f'(x) and the equation of the line tangent to the graph of f at x=1 is y=

Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x. X f(x) = X= 3 (3x - 8)" f'(x) =Give the dnmain of f, the tie main of g, and the domain of m, where mm: f[g{x}]_ u] = In u; gEx}=E+4x2 E) The domain eff is E. {Type your answer in interval notation} The drug concentration in the bloodstream t hours after injection is given approximately by C(t) = 4.95 e " , 0sts5, where C(t) is the concentration in milligrams per milliliter. (A) What is the rate of change of concentration after 2 hours? After 4 hours? (B) Graph C. (A) Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round until the final answer. Then round to the nearest hundredth as needed.) O A. After 2 hours, the concentration is decreasing at the rate of mg/ml per hour. O B. After 2 hours, the concentration is increasing at the rate of mg/mL per hour. O C. After 2 hours, the rate is neither increasing nor decreasing