>>372
f'(x)
=lim_[h→0]{f(x+h)-f(x)}/h
=lim_[h→0]{−(x+h)^3+x^3+6*(x+h)^2−6*x^2−9*(x+h)+9*x}/h
=lim_[h→0]{−3*x^2*h−3x*h^2−h^3+12*x*h+6*h^2−9*h}/h
=lim_[h→0]{−3*x^2−3x*h−h^2+12*x+6*h−9}
=−3*x^2+12*x−9
簡単だろ