A bacteria culture starts with 1000 bacteria and the number doubles every 40 minutes. (a) find a formula for the number of bacte
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Answer:
Step-by-step explanation:
we would like to figure out the differential coefficient of
remember that,
the differential coefficient of a function y is what is now called its derivative y', therefore let,
to do so distribute:
take derivative in both sides which yields:
by sum derivation rule we acquire:
Part-A: differentiating $e^{2x}$
the rule of composite function derivation is given by:
so let g(x) [2x] be u and transform it:
differentiate:
substitute back:
Part-B: differentiating ln(x)•e^2x
Product rule of differentiating is given by:
let
substitute
differentiate:
Final part:
substitute what we got:
and we're done!