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(sin(ln(e^x)))'The calculation above is a derivative of the function f (x)
cos(ln(e^x))*(ln(e^x))'
cos(ln(e^x))*(1/(e^x))*(e^x)'
ln(e)*cos(ln(e^x))*(1/(e^x))*e^x
1*cos(ln(e^x))
cos(x)
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