8f(x)=1/sqrt((x-1)(2-x)). How to find the range in this case. #maths #olympiad #calculus #education #python #chemistry #howtosolveolympiadmathproblem #mit #physics
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How to find the range for a function, How to find the domain of definition. How can we prove that function? A function is a positive one. How can we prove that a function is negative one? How can we prove that function is increasing or decreasing? How can we apply the mean value? Theorem. How can we apply the extreme value tier? We're gonna give an example of the extreme value theorem. And an example of the mean value theorem, We will apply. Also the fundamental theorem of algebra for the complex numbers. We're going to find the nth roots of unity for any complex number. We also going to find the algebraic form and the exponential form for all the terms that we're going to apply here. In our case, we are interested in finding the domain for dysfunction here. Uh, our function is defined. We need to find its domain first To do that. We need to do some algebra, we have the square root everything inside the square root must be positive. So we're going to work on that, and to find the man of definition here. And when we do that, these problem is for AP calculus student. It is for putnam students And we offer the best and great tutorials videos for math and physics and algebra. This will help students learn more. If you are a student interested in learning more, please come to our Channel. Here you will find the best tools that you need to achieve the success that you want. This is also useful, for practice teachers. Trying to get practice Praxis, Practice, math. Practice. Math. 5161 For teacher licensure.