Problem 1. Differentiate the following functions: (a) f(x) = 5¹ (b) g(t) = 9e + 12 (c) y = 3r²-4¹ +9ln(x) - 7e - Vr² +1

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Problem 1 Differentiate The Following Functions A F X 5 B G T 9e 12 C Y 3r 4 9ln X 7e Vr 1 1 (43.37 KiB) Viewed 25 times

Problem 1. Differentiate the following functions: (a) f(x) = 5¹ (b) g(t) = 9e + 12 (c) y = 3r²-4¹ +9ln(x) - 7e - Vr² +1 Problem 2. With t in years since the start of 2000, the population of Nevada, P, in millions, can be approximated by P(t) = 2.020(1.036)¹. (a) Find P'(t) (b) Find I'(15) and interpret in the context of the problem. Problem 3. A market analyst is predicting that a particular stock will bahave accord- ing to the model S(t) = 100ln(1 +t), where S is in dollars and t > 0 is in weeks. (a) Find S'(t) (b) Find S'(4) and interpret in the context of the problem. = Problem 4. Find the equation of the tangent line to f(x) = x = 0. 6e +2 at the location