1.y=3√x^2的导数是2.y=3√x的导数是
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1.y=3√x^2的导数是2.y=3√x的导数是
![1.y=3√x^2的导数是2.y=3√x的导数是](/uploads/image/z/18983673-9-3.jpg?t=1.y%3D3%E2%88%9Ax%5E2%E7%9A%84%E5%AF%BC%E6%95%B0%E6%98%AF2.y%3D3%E2%88%9Ax%E7%9A%84%E5%AF%BC%E6%95%B0%E6%98%AF)
1解当x≥0时,y=3√x^2=3x
则y'=(3x)'=3
当x<0时,y=3√x^2=-3x
即y'=(-3x)'=-3
2
y'=(3√x)'
=3(√x)'
=3×1/2√x
=3/(2√x)
再问: 不是3倍根号下x的平方,是3立方根号下x平方![](http://img.wesiedu.com/upload/7/41/7414182d34d257eaec527b6abe2ceff6.jpg)
再答: 1y=3√x^2=x^(2/3) 则y'=[x^(2/3)]'=2/3×x^(2/3-1)=2/3×x^(-1/3)=2/[3x^(1/3)] y'=(3√x)'=(x^(1/3))' =1/3×x^(1/3-1) =1/3×x^(-2/3) =1/[3×x^(2/3)] =1/[3x^(2/3)]
则y'=(3x)'=3
当x<0时,y=3√x^2=-3x
即y'=(-3x)'=-3
2
y'=(3√x)'
=3(√x)'
=3×1/2√x
=3/(2√x)
再问: 不是3倍根号下x的平方,是3立方根号下x平方
![](http://img.wesiedu.com/upload/7/41/7414182d34d257eaec527b6abe2ceff6.jpg)
再答: 1y=3√x^2=x^(2/3) 则y'=[x^(2/3)]'=2/3×x^(2/3-1)=2/3×x^(-1/3)=2/[3x^(1/3)] y'=(3√x)'=(x^(1/3))' =1/3×x^(1/3-1) =1/3×x^(-2/3) =1/[3×x^(2/3)] =1/[3x^(2/3)]