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Question: differentiate fxoverview question 8 of 10 f x prove that...

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Differentiate fx)Overview, question 8 of 10 f ,(x)=

Prove that if y yoekt, where yo and k are constants, thenky. (This says that for exponential growth and decay, the rate of change of the population is proportional to the size of the population, and the constant of proportionality is the growth or decay constant.) dy dt The derivative of (e) equals (e 90)g(x). Use this property to determine the derivative of yoe kt Type an exact answer in terms of e) se the give n value y to rewrite the derivative above (Type an expression using y as the variable.) State your conclusion. Choose the correct answer below dy O A. Sine(Yo ekt) -ky, it can be concluded thatky 0 B. Since (Yo e kt)-kyo, it can be concluded that-y-ky dt Click to select your answer(s)

Find f[g(x)Jand g(f(x)) t(x)-yx + 4, g(x) = 18x2-13

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