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

Answe

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

452,489 to the nearest thousand is 452,000