f(x) = log[a](x), g(y) = a^y とすると、
d/dx log[a](x)
= f'(x)
= 1/g'(f(x)) (∵ g(f(x)) = x のとき、f'(x) = 1/g'(f(x)) )
= 1/(ln(a) a^f(x))
= 1/(ln(a) a^log[a](x))
= 1/(ln(a) x)
= (1/ln(a)) (1/x)
最新の画像［もっと見る］
f(x) = log[a](x), g(y) = a^y とすると、
d/dx log[a](x)
= f'(x)
= 1/g'(f(x)) (∵ g(f(x)) = x のとき、f'(x) = 1/g'(f(x)) )
= 1/(ln(a) a^f(x))
= 1/(ln(a) a^log[a](x))
= 1/(ln(a) x)
= (1/ln(a)) (1/x)
