How do you find the stationary points of a curve? Calculus Graphing with the First Derivative Identifying Stationary Points (Critical Points) for a Function 1 Answer Wataru Aug 26, 2014 A stationary (critical) point #x=c# of a curve #y=f(x)# is a point in the domain of #f# such that either #f'(c)=0# or #f'(c)# is undefined. So, find f'(x) and look for the x-values that make #f'# zero or undefined while #f# is still defined there. Answer link Related questions How do you find the stationary points of a function? How many stationary points can a cubic function have? How do you find the stationary points of the function #y=x^2+6x+1#? How do you find the stationary points of the function #y=cos(x)#? How do I find all the critical points of #f(x)=(x-1)^2#? Let #h(x) = e^(-x) + kx#, where #k# is any constant. For what value(s) of #k# does #h# have... How do you find the critical points for #f(x)=8x^3+2x^2-5x+3#? How do you find values of k for which there are no critical points if #h(x)=e^(-x)+kx# where k... How do you determine critical points for any polynomial? How do you find all critical points (if any) if #k(t)=1/sqrt(t^2 +1)#? See all questions in Identifying Stationary Points (Critical Points) for a Function Impact of this question 6195 views around the world You can reuse this answer Creative Commons License