5

QUESTION 5Find the critical points of flxy) = (xy-v)T t I Aral3 (12pt)Path:7CE dlanscnd...

Question

QUESTION 5Find the critical points of flxy) = (xy-v)T t I Aral3 (12pt)Path:7CE dlanscnd

QUESTION 5 Find the critical points of flxy) = (xy-v) T t I Aral 3 (12pt) Path: 7CE dlans cnd



Answers

Locate all critical points. $$s(t)=2 t^{3}-9 t^{2}-60 t+5$$

Any number in the mind of a function at which derivative is your zero or feel truly exists is called the critical number. If say the critical number, then the point of CFC is called a critical point. So first we take the relative to this function. It's the relative is as prime T deco's six two squared miners 18 t miners 60. And we can factor this into two parts Rachel six times T minus five. And team miners too. And sorry, T plus two. And we like this because zero. Then we get to solutions. T echoes five empty eco's minus two. They saw the two critical numbers and the function value at five is miners 270. The function relative minors to is 73 hence we have two critical points which are five minus 270 and minors to 73.

Now let's solve exercise 20. This exercise asks us to find the critical point. What is a critical point? Any number in the dimensional function. Maravich that derivatives is either zero Field Street exist is called a critical number. And if C is a critical number, then the point C f. C is called a critical point. In this exercise, FT. Echoes came Miners one parentheses to Power of four and T plus three parentheses to the power of three. We first take the relatives of this function. We can use the production rule to take the derivatives. First, we take the derivative of the first term times a second term, and then, plus the derivative of the second term time, the first term. And with some simplification, we can have the final results. And then it's easy for us to say that there are three critical numbers. That is, this very critical numbers will make the derivative it called zero and these great critical numbers minus 9/7, minus three and one and when, uh when t equals miners, 9/7. The function value is a little complicated and is a numerical approximation is 137.511 And when t equals minus 31 the functional value is zero. In the hands, we have three critical points. This are miners 9/7, 137.511 The second less minus 30 The third is one there.

First. Let's reveal the definition of critical point. Any number in the dimmable function in which the directive, either zero fields to exist is called a critical number. If C. Is a critical number for the function, then the point of C. F C is called a critical point. So first we take the relative to this function as decorative as prime T. He calls the derivative of the first part four times. Hmm. Armand North one 23rd times the second part. K plus 3 to 1 third and then plus the first term times the derivative of a secondary Rachel's three T plus three square. And we can rewrite it as k minus one. Kill. Keep last three square and 70. Last night we like the derivative Ico zero and then begins three critical numbers which are tables miners. 9/7 T. V equals minus three and T equals what the function value adds, miners. 9/7 is approximately 137.511 The functional value at minus rate. Is there the function radio and why is also zero enhance? It has three critical points, miners, nine sevens Mahan drug 37.511 miners raid zero and one there.

Now let's of exercise 19. This exercise asked us to find a critical point. What is a critical point? Any number in the reminder function, out of which the security of this either zero or fields to exist, is called a critical number. If C is a critical number, then the point the C F. C. Is called a critical point. In this exercise, the function F T equals two to the power of six miners. Three t squared plus five Well first kicked rabbit have to this function and we get its derivative function. Richie calls six t to the power of five miners. 60 Know that we can factor this phenomenal into four factors and this factor has no real solutions. Therefore, we have great critical numbers which are minus 10 and one, and for this very critical numbers function value as 35 and three, respectively. Hence, we have very critical points which are minus 1305 and 13


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