y=2^[In(x^2)]的导数

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y=2^[In(x^2)]的导数y=2^[In(x^2)]的导数y=2^[In(x^2)]的导数解y′={2^[In(x^2)]}′=2^[In(x^2)]*ln2*[In(x^2)]′=2^[In(

y=2^[In(x^2)]的导数
y=2^[In(x^2)]的导数

y=2^[In(x^2)]的导数
解y′={2^[In(x^2)]}′
=2^[In(x^2)]*ln2*[In(x^2)]′
=2^[In(x^2)]*ln2*[1/(x^2)]*(x^2)]′
=2^[In(x^2)]*ln2*[1/(x^2)]*2x
=2ln2*2^[In(x^2)]*1/x

y'=2^(ln(x^2))*ln2*1/x^2*2x=2^(ln(x^2))*2ln2/x