Derivability of Tangent and Secant Function on Plane Curve with Second Variable

Objective To explore derivability of tangent and secant function on plane curve with the second variable.Methods A group of computation formula were constructed and geometry analysis method was used.Results The first derivative and the second derivative expression of the tangent and secant function about the second parameter were obtained,as well as the limits of the discontinuity points of the tangent and secant function.Conclusion The tangent and secant function is derivable about the second parameter,and its first derivatives and second derivatives are continuous.