in order to find the derivative of a natural log you have to multiply 1/u by du where u is the inside of the natural log and du is the derivative of the inside of the natural log.
for example: ln(7x)
d/dxln(7x) = 1/7x multiplied by 7 = x
and when finding the derivative of e^u you take e^u multiplied by the derivative of u.
for example: d/dx e^ x^2 - 1
e^x^2 - 1 multiplied by 2x = 2xe^x^2-1
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