The Rational Zero theorem : it says
Suppose a polynomial
f(x) = a_{n}x^{n} + a_{n-1}x^{n-1} + ... + a_{2}x^{2} + a_{1}x + a_{0}
where n is natural number where n \geq 1 , a_{n} ,a_{n-1} ,...,a_{2}, a_{1}, a_{0} are integers.If r is a rational zero then r has the form \pm \frac{p}{q} ...
Also when we we evaluate the limit of intermediate power forms we use logarithmic differentiation but we didn't take the absolute value of the function first also it may be negative for some values in its domain.Please help me at this point also .
In most of exercises of textbooks when ask me to differentiate f using logarithmic differentiation
some time f(x) = 0 for some values of x , so I I used logarithmic Differentiation for all x in domain of f , such that f(x) not equal zero. then prove using the definition directly that for...
I am also interesting in reading Maths and I want to learn Abstract Algebra,I am reading the linear algebra part in Tom M Apostol calculus Vol.2.What do you recommend me to do ?
how can I find the range of the function ??
I don't know a method to get the range of any function without the graph. But all I can say that for some functions I can get its range by first computing the inverse of the function , and this is the problem itself because in sometimes when computing...
I want to ask a question.Is the way I use in determining the kind of Discontinuity is right ?
First I look where I look where the function is undefined and then then take the limit at this point if it is not an infinite limit and the limit exist then I say the function has a removable...