Final Answer:Thederivativeof the function f(t) = ln(ln(9t)) + ln(ln(9)) is 1/(tln(9t)).Explanation:To find the derivative of the given function f(t) = ln(ln(9t)) + ln(ln(9)), we can use thechain ruleand the derivative of thenatural logarithm.First, let's differentiate the first term, ln(ln(9t)):d/dt [ln(ln(9t))] = (1/ln(9t)) * d/dt[ln(9t)]= (1/ln(9t)) * (1/(9t)) * 9= 1/(t * ln(9t))Next, the derivative of thesecond term,ln(ln(9)), is 0 because it's a constant.Now, we can add the derivatives of the two terms:f'(t) = (1/(t * ln(9t))) + 0= 1/(t * ln(9t))So, the derivative of the function f(t) is 1/(t * ln(9t)).Learn more aboutderivativebrainly.com/question/25324584#SPJ11...

Unlock to view answer

Unlock full access for 72 hours, watch your grades skyrocket.

For just $0.99 cents, get access to the powerful quizwhiz chrome extension that automatically solves your homework using AI. Subscription renews at $5.99/week.