y=x的平方乘以sin1\x求函数的导数 求y=（tanx）^x+x^sin1/x的导数
\u7528\u590d\u5408\u9ad8\u6570\u6c42y=x^2sin(1/x)\u7684\u5bfc\u6570y=x^2sin(1/x)
y'=2xsin(1/x)+x^2cos(1/x)(-1/x^2)
=2xsin(1/x)-cos(1/x)
\u5316\u4e3a\u5bf9\u6570\u51fd\u6570\u518d\u6c42\u5bfc.
y'=(x²)'sin(1/x)+x²[sin(1/x)]'
=2xsin(1/x)+x²[(-1/x²)cos(1/x)]
=2xsin(1/x)-cos(1/x)
[2]
这是对的.
∵该函数在0点可导.
字数限制,不能打字太多.
y=x^2 sin(1/x)
y'=2x sin(1/x)-cos(1/x)
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