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Gnesinka [82]
3 years ago
5

Find maximum points y=11^(6x-x²) solve using derivative

Mathematics
1 answer:
Darya [45]3 years ago
8 0

Answer:

\boxed{\sf \ \ \ maximum \ is \ 11^9=2357947691 \ \ \ }

Step-by-step explanation:

hello

y = 11^{(6x-x^2)}=exp((6x-x^2)ln(11))

so to know the maximum to y we can check the maximum of

f(x)=6x-x^2

f is derivable and f'(x)=6-2x

f'(x)=0 <=> x = 3

so the maximum is reached for x = 3

f(3)=18-9=9

and then

y = 11^9=2357947691

to be rigorous, we can write the variation table of y to show that there is only one maximum

hope this helps

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