Determine the point(s) of inflection on the graph of f(x) = (e^-x)sinx on the interval [0, (pi)].

Question

Determine the point(s) of inflection on the graph of f(x) = (e^-x)sinx on the interval [0, (pi)].

Answer 1

Points of inflection are where the 2nd derivative = 0

f'(x) = (e^-x)cosx + sinx(e^-x)(-1)

take the 2nd derivative and set it equal to zero, and solve for x to find the inflection points.