Derivative of exponential functions

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I'm having trouble for the derivative of this exponential function which looks difficult. I have used the quotient rule and chain rule to solve for $0.6^x$ but its still wrong.

$$P(x)= \frac{1864}{1+49\times (0.6)^x}$$

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we have after simplifications $$P'(x)=-91336\,{\frac { \left( 3/5 \right) ^{x}\ln \left( 3/5 \right) }{ \left( 1+49\, \left( 3/5 \right) ^{x} \right) ^{2}}} $$