सिद्ध कीजिए कि फलन f बिंदु x = a पर असंतत है जबकि `f(x)={{:(ax",",xlta),(a",", x=a),(x^(2)",", x gta):}`.

फलन f(x) पर अवकलनीयता

If f(x)=|(a,-1,0),(ax,a,-1),(ax^(2),ax,a)| then f(3x)-f(2x)=

If f(x)=x^(2)-ax , then f(a)=

If f(x)=|(a,-1,0),(ax,a,-1),(ax^2,ax,a)|, then f(2x)-f(x) equals

If f(x) is derivable at x =2, where f(x) ={{:( x^(2),"for" xle 2 ),( ax + b,"for " xgt2 ):},then

If f(x)=|(a,-1,0), (ax,1,-1), (ax^2,ax,9)|, then f(2x)-f(x) equals

If f(x)=x sqrt(ax-x^(2)) for a>0, then f(x) is

If f(X) = (ax-b)/(bx-a) , show that f(f(x)) = x

A function f(x) is defind as f(x)={{:(x^(2)+ax+1, " x is rational "),(ax^(2)+2x+b,"x is irrational "):} is continuous at x=1and 3 , them find the values of a and b.

यदि f' (a) विधमान है तब lim_(x to a) (x f(a)-a f(x))/(x-a)=