[" If "f(x),=(x-2)/(x^(2)-3x+2)" ,when "x!=2],[,=1" when "x=2" then find "t]

If f(x)={(x-2)/(x^(2)-3x+2), when x!=21 when x=2, prove that f'(2)=-1

If y=f(x)=(3x-5)/(x^(2)-1) when (x!=1) then find the range of f(x) when (x!=1) then

Given, f (x) =(x-1)/(2x^(2)-7x+5)' when x ne 1 =-(1)/(3) when x = 1 Find the derivative of f (x) at x = 1 .

If f(x)={(x-1)/(2x^(2)-7x+5), when x!=1-(1)/(3), when x=1, prove that f'(1)=-(2)/(9)

If f, RR to RR is defined by f (x) ={{:((x-2)/(x ^(2) -3x+2)"," ,"when " x in RR-{1","2}),(2",","when" x=1),(1",", "when" x=2):} then lim _(xto2) (f(x) -f(2))/(x-2) is equal to-

Let f(x)=2x^2-3," when "x le2 =2x+1," when "2ltxle3 =(1)/(2x-1)," when "xgt3 Find f(0),f(3),f(-2),f(4),f(sqrt(2)) and f(e).

If f''(x) = (2x)/((1+x^(2))^(2)) where f'(x)=1, f(x)=2 when x=0, when the value of f(x) is -

If f(x)={{:(2x-1,"when "xle0),(x^(2),"when "xgt0):},"then find "f((1)/(2)) and f((-1)/(2))

If the polynomial f(x) be defined by f(x) = {{:(2x^(2)-3 " when " xle2),(2x+1 " when "2ltxle4),(1/(2x-1) "when "xgt4):} then find (a)f(sqrt2),(b)f(pi) .

If f(x)={{:(2x^(2)+3" when " x le 2,),(2x+1 " when "2 lt x le 3,),((1)/(2x-1) " when "x gt 3,):} then f( e) =