若fx=(x-1)×e^ (x-1)则f‘x=?

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若fx=(x-1)×e^(x-1)则f‘x=?若fx=(x-1)×e^(x-1)则f‘x=?若fx=(x-1)×e^(x-1)则f‘x=?f(x)=(x-1)xe^(x-1)f''(x)=(x-1)''x

若fx=(x-1)×e^ (x-1)则f‘x=?
若fx=(x-1)×e^ (x-1)则f‘x=?

若fx=(x-1)×e^ (x-1)则f‘x=?

f(x)=(x-1)xe^(x-1)
f'(x)=(x-1)'xe^(x-1)+(x-1)x[e^(x-1)]'
=e^(x-1)+(x-1)xe^(x-1)
=xe^(x-1)

用导数的乘法则: