फलन `f(x)={(x^(2),xlt1),(x,1lexlt2),(x^(3)/4,xge2):}` तब x=2 पर f(x) के सांत्यता का परीक्षण कीजिए।

If f(x)=[(x,xlt1),(x^(2),1lexle4),(8sqrt(x),xgt4):} the find f^(-1)(x) .

If f(x)={(5x+1,xlt2),( int_0^x ((5+abs(1-t)))dt,xge2):}

f(x)={(x+1,; xlt1), (2x-3,; xgeq1):}, evaluate lim_(x rarr 1)f(x).

If f(x)={(x[x], 0lexlt2),((x-1)[x],2lexle3):} , then f(x) is

Let f(x)={ f(x={(x^3-3x+2, xlt2),(x^3-6x^2+9x+2, xge2):} Then

If f(x)={{:(x+4,xge1) ,(5x,xlt1):} then f'(x)=?

Let f(x)={{:(x+2",",xlt-1),(x^(2)",",-1lexlt1),((x-2)^(2)",",xge1):} Then number of times f(x) changes its sign in (-oo,oo) is

f(x)={{:(3k-2x", when "xlt1),(2k+1", when "xge1):} at x = 1