Answer:
y = x^(sin(x))
y = e^(SIN(x)*LN(x))
y' = (COS(x)·LN(x) + SIN(x)/x)*e^(SIN(x)*LN(x))
y' = (COS(x)·LN(x) + SIN(x)/x)*x^(SIN(x))
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A and b because both values are less than 365
3^x = 729
log(3^x) = log(729)
xlog(3) = log(729)
x = log(729)/log(3)
x = 6
ANSWER
The maximum y-value is 0.
EXPLANATION
The domain of the given absolute value function is (-∞, ∞) .
This means the function is defined for all real values of x.
The range of the function is (-∞, 0].
This can be rewritten as

This means that, the highest y-value on the gray of this absolute value function is 0.
Hence the maximum y-value of the function is 0.