d/dx f(g(x))
= lim[h→0] ((f( g(x+h) ) - f(g(x)))/h)
= lim[h→0] ((f(g(x) + (g(x+h) - g(x))) - f(g(x)))/h)
= lim[h→0](((f(g(x) + (g(x+h) - g(x))) - f(g(x)))/(g(x+h) - g(x)))
((g(x+h) - g(x))/h))
= (lim[h→0] ((f(g(x) + (g(x+h) - g(x))) - f(g(x)))/(g(x+h) - g(x))))
lim[h→0]((g(x+h) - g(x))/h)
= (lim[t→0] ((f(g(x) + t ) - f(g(x)))/ t ))
lim[h→0]((g(x+h) - g(x))/h)
= f'(g(x)) g'(x)
最新の画像［もっと見る］
