Question

y=(1+x)(2-3xﾁ0ﾅ5)(3-4xﾁ0ﾅ6)求导数y´

Answer 1

猜y=(1+x)(2-3x^2)(3-4x^3),

y'=(2-3x^2)(3-4x^3)-6x(1+x)(3-4x^3)-12x^2(1+x)(2-3x^2)

=6 -9x^2-8x^3 +12x^5

-18x-18x^2 +24x^4+24x^5

-24x^2-24x^3+36x^4+36x^5

=6-18x-51x^2-32x^3+60x^4+72x^5.