f(x)=sin 1/x 和f(x)=e的x次方-1/x

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f(x)=sin1/x和f(x)=e的x次方-1/xf(x)=sin1/x和f(x)=e的x次方-1/xf(x)=sin1/x和f(x)=e的x次方-1/xf(x)=sin(1/x)f''(x)=cos

f(x)=sin 1/x 和f(x)=e的x次方-1/x
f(x)=sin 1/x 和f(x)=e的x次方-1/x

f(x)=sin 1/x 和f(x)=e的x次方-1/x
f(x)=sin(1/x)
f'(x)=cos(1/x)*(1/x)'
=cos(1/x)*x^(-1)
=cos(1/x)*(-1)*x^(-2)
=-cos(1/x)/x²
f(x)=(e^x-1)/x
f'(x)=[(e^x-1)'*x-(e^x-1)*x']/x²
=[x*e^x-(e^x-1)]/x²
=(x*e^x-e^x+1)/x²

y=ln[sin(x的2次方+1)]的导数
y'=1/[sin(x的2次方+1)]*cos(x的2次方+1)*(x的2次方+1)'
=2xcos(x的2次方+1)/[sin(x的2次方+1)]