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wonderland12372
31.07.2019 •
Mathematics
Evaluate the expression for the given value of the variable(s) 4(3h-6)/1+h; h=-2
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Ответ:
= 4* -12 / -1
= -48 / -1
= 48 Answer
Ответ:
y = (cos x)^x
ln(y) = ln[(cos x)^x]
ln(y) = x * ln[cos x]
(1/y) * y' = 1* ln[cos x] + x * (-sin x)/(cos x)
y' / y = ln[cos x] - (x sin x)/(cos x)
y' = y* [ ln[cos x] - (x sin x)/(cos x) ]
the key step in the process - the substitution.
You had: y = (cos x)^x, so we will substitute for y.
y' = (cos x)^x* [ ln[cos x] - (x sin x)/(cos x) ]
(and this is your final answer)