What is the general form of a logistic function? Precalculus Exponential and Logistic Functions Exponential and Logistic Graphs 1 Answer Andrea B. Apr 18, 2015 #x'(t)=k*x(t)*(a-x(t))# then you put it like this to apply integral calculus #k=(x'(t))/(x*(a-x(t)))# #int_(tº)^tk*dt=int_(xº)^xdx/(x*(a-x))# Answer link Related questions What is an exponential function? How do I find the exponential function of the form #f(x)=ab^x# for which #f(-1)=10# and #f(0)=5#? How do I find an exponential function that passes through two given points? What is the range of a logistic function? What is a logistic function? How do I find a logistic function from its graph? How does an exponential function differ from a power function? How does exponential growth differ from logistic growth? How do you find the exponential function, #n(t)=n_oe^(kt)# that satisfies the conditions... How do you graph the function #f(x)= log_10 x#? See all questions in Exponential and Logistic Graphs Impact of this question 4217 views around the world You can reuse this answer Creative Commons License