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QuestionLa derivada de la funcion f (x) = 4* es (In 4 )4*. True False...

Question

QuestionLa derivada de la funcion f (x) = 4* es (In 4 )4*. True False

Question La derivada de la funcion f (x) = 4* es (In 4 )4*. True False



Answers

True or False The function $y=f(x)-4$ represents a translation down 4 units of the graph of $y=f(x) .$ Justify your answer.

This question asks us to confirm if X to the fourth plus X squared plus X isn't even function. We know we do this, but plugging in everywhere we have ex substitute negative X instead. We know because half of negative X is not equal to FX, the function is not even so. This is not true. This is false.

We have this function right here. It says it is an example of a linear function. This is a true statement because you have these little being the Y intercept.

In this problem Off lower rhythm we have given f Off X minus two equals toe F Off X minus effort to provided X is always greater than to. That means this term is always positive. So long is defined and we have given f off X h equals toe Ln x So now put the value so if off X minus two this is f off X minus two equals toe Ellen X minus two So this is Ellen X minus two. So this is Ln X and this is X minus two. So this world way here. So this is X minus two. And this if this waas Ln x divided with, say, this age, this is X divided with two. Then we can write Ln x minus Ellen to if this is not this so we can simply right Ln X minus toe. So ffx minus two equals two Ln X minus toe and not equals toe affects minus F off, too. So this is false. So this is false because ffx minus two equals two Ln X minus two

In this problem we will cover the differential of a two variable function. So to solve this problem, we must first refer back to the equation for a differential and I have that written in green and we see that it's comprised of the partial derivatives with respect to X and Y at point A. B. And also has the change of X. Which can be written as X minus A. And the change in why, which can be written as why minus B. So given our differential in blue weekend, right This as Ds is equal to the partial derivative with respect to X at the 0.12 times x minus one plus the partial derivative with respect. So why at +12 multiplied by y minus two. And we are given the partial derivatives with respect to X and Y. So all that we have to do is plug in the 0.12 into them. And we get that if we plug in the y coordinate into two, Y, we get four. So now we have four times x minus one. And if we plug in the point into our partial derivative with respect to why we get signed up to and multiply that by why minus two. And now to solve to find the differential, we plug in our 2nd 0.0 point 92.2 And we played in those coordinates in for X and Y. So we have D. F equals four. 0.9 minus one plus sign of two times 2.0 to minus two. And that can be simplified to four times negative 0.1 plus sign of two times 0.0 two. And if you were to calculate this we would get that differential is approximately negative 0.4. And that means that the given statement in blue is going to be true.


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