用導數定義求Y=根號X的導數(詳細過程) 網友廻答:
- Y=(x)^(1/2)=(1/2)x^(1-1/2)=1/(根號x)
網友廻答:
- y=√x
dy/dx=lim(h→0) 1/h*[√(x h)-√x]
=lim(h→0) 1/h*[√(x h)-√x][√(x h) √x]/[√(x h) √x],分[fèn]子有理化
=lim(h→0) 1/h*(x h-x)/[√(x h) √x]
=lim(h→0) 1/h*h/[√(x h) √x]
=lim(h→0) 1/[√(x h) √x]
=1/[√(x 0) √x]
=1/(√x √x)
=1/(2√x)
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