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puchie1225
19.08.2019 •
Mathematics
Find the relative extrema of the function. use a graphing utility to confirm your results. (order your answers from smallest to largest x, then from smallest to largest y.) f(x) = sin(x) sinh(x) − cos(x) cosh(x), −4 ≤ x ≤ 4
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Ответ:
Answe![-1 \quad \dfrac{e^{\pi}+e^{-\pi}}{2}](/tpl/images/0179/5056/55c94.png)
Step-by-step explanation:
Recall that
and that
Also note that,
and that
Now, to find the relative extrema of the function, we first have to compute the derivative of f(x) and find the values of x where the derivative is equal to zero, using the last equations, the linear property of the derivative and the product rule, we get that
Since
for all x, to find the relative extrema of the function in the interval -4≤x≤4, we only have to find the values x, in the given interval, where
. After a inspection of
on the given interval, we can see that the extrema of f(x) can be find at
.
It holds that
and that
Ответ:
the answer is SR
Step-by-step explanation:
the answer is c i just took the test lol gimme a like and 5 stars