Question

sinx的3次方的n阶导数是什么?

Answer 1

y=sin³x

=sinx(1-cos2x)/2

=[(sinx)/2]-[(sinxcos2x)/2]

=[(sinx)/2]-[(sin3x-sinx)/4]

=(3sinx-sin3x)/4

y^(n)=[3sin(x+nπ/2)-3^n*sin(3x+nπ/2)]/4