The awareness of the product is appx. by A(t)= (10t^2)(2^-t), where t is the time in months. Find the rate of change of the percent of public that is aware of the product after 5 months.
I used the product rule but not sure if I applied it properly
You're find on the derivative of the 10t2
part, but you might want to review the rules for exponentials
. They are not
the same as polynomials!
In general, for f(x) = ax
, the derivative is f'(x) = ax
ln(a), where "ln(a)" is the natural logarithm of "a".
In your case, a = 2.