Point to remember..
d/dx(constant)=0
Now,
d/dx[ln(e^i)]
= d/dx[i.ln.(e)]
'i' and ln(e) both has numerical values
So,
d/dx[i.ln.(e)]
=0
d/dx(constant)=0
Now,
d/dx[ln(e^i)]
= d/dx[i.ln.(e)]
'i' and ln(e) both has numerical values
So,
d/dx[i.ln.(e)]
=0
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ln(e^i) is a constant, and the derivative of a constant is zero.
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d/dx[ln(e^i)] = d/dx[i*lne] = d/dx[i] = 0 >===========< ANSWER
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0