Rationalizing the denominator, simply means "getting rid of that pesky root at the bottom", and we do so by simply multiplying it by something to take it out, of course, we multiply the bottom, we have to also multiply the top,
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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!