find the derivative of f(t)=e^-kt cos(ln(t))

is this correct e^(-kt)*-t*sin(ln(t))(1/t)?

2 answers

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e^(-kt) cos(ln(t))
using the product rule, the derivative would be
-k e^(-kt) cos(lnt)) + e^(-kt) (-sin(lnt)) * 1/t
= -e^(-kt) (k sin(lnt) + 1/t cos(lnt))