a. Find the local extrema of the function f(x) = sin 10x on the interval 0

$a. Find the local extrema of the function f(x) = sin 10x on the interval 0<xs and 5' say where they occur. %3D b. Graph the function and its derivative together. Comment on the behavior of f in relation to the signs and values of f'. a. Find each local maxima, if there are any. Select the correct choice below and fill in any answer boxes within your choice. (Simplify your answers. Type exact answers, using t as needed. Use integers or fractions for any numbers in the expression.) A. The function has a local maximum value at three values of x. In increasing order of x-value, the maximum values are f and f() %D B. The function has a local maximum value at two values of x. In increasing order of x-value, the maximum values are f and f( %3D O C. The function has a local maximum at one value of x. The maximum value is f() =. %3D O D. There are no local maxima. Find each local minima, if there are any. Select the correct choice below and fill in any answer boxes within your choice. (Simplify your answers. Type exact answers, using n as needed. Use integers or fractions for any numbers in the expression.) O A. The function has a local minimum value at two values of x. In increasing order of x-value, the minimum values are f and f B. The function has a local minimum value at three values of x. In increasing order of x-value, the minimum values are f() = , f( ) = and f() %3D C. The function has a local minimum at one value of x. The minimum value is f() D. There are no local minima. $

Extracted text: a. Find the local extrema of the function f(x) = sin 10x on the interval 0
$b. Graph the function and its derivative together. Choose the correct graph below. В. D. Ay 11 11- Ay 11- 11- X -113 -113 -113 -11- Comment on the behavior of f in relation to the signs and values of f'. Moving across the interval from left to right, f'changes from positive to negative at x = so f has a local (Type exact answers, using n as needed. Use integers or fractions for any numbers in the expression.) at x= Also f' changes from negative to positive at x= so f has a local at x = $

Extracted text: b. Graph the function and its derivative together. Choose the correct graph below. В. D. Ay 11 11- Ay 11- 11- X -113 -113 -113 -11- Comment on the behavior of f in relation to the signs and values of f'. Moving across the interval from left to right, f'changes from positive to negative at x = so f has a local (Type exact answers, using n as needed. Use integers or fractions for any numbers in the expression.) at x= Also f' changes from negative to positive at x= so f has a local at x =

Jun 05, 2022

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a. Find the local extrema of the function f(x) = sin 10x on the interval 0

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