Instantaneous rate of change: exploring more functions with the first and second derivatives

DerivativesChoose the logistic function. Check the first derivative box. Find an approximate x0 value where the increase of f(x) is highest. Choose the exponential function. Check the second derivative box. Find an approximate x0, the inflection point, where the tangent line switches from above the function to below. Actually, it is the zero of f´´(x). Choose the polynomial of degree four. Check both the first derivative and second derivative boxesComponente Curricular::Educação Superior::Ciências Exatas e da Terra::Matemátic