Question

y=a^x·x^a的导数是（    ）

A.x·a·a^x-1·x^a-1                                   B.a^x-1·x^a+1+a^x+1·x^a-1

C.a^x·x^a·lna+x^a-1·a^x+1                       D.a^xx^a-1(lna+a)

Answer 1

C

分析：y′=(a^x)′x^a+a^x·(x^a)′

=a^x·x^alna+a^x·x^a-1·a

=a^x·x^a·lna+a^x+1·x^a-1.