The derivative of function

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Step-by-step explanation
Hello!
In this question,we have to find derivative of f(x) with respect to t.
Now,f(x)=ln(2x) (When log is at base e,we write ln)
f(x)=ln2+lnx (ln(ab)=lna+lnb)
Apply chain rule and differentiate,
f'(x)=0+(1/x)(dx/dt)=1/x(dx/dt)
Hope you understood.
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