Determine the values of and that make the function h(x)= cases mx^ 2 +nx+1, & x<2,…
MATHEMATICS · Subjective · AP · Calculus AB · Differentiation: Composite, Implicit, and Inverse Functions · Differentiation: Composite, Implicit, and Inverse Functions
Problem
Determine the values of m and n that make the function
h(x)={mx2+nx+1,(x−2)3+1,x<2,x≥2
continuous and with continuous first and second derivatives at x=2.