If `f(x)=|x^2-5x+6|,t h e nf^(prime)(x)e q u a l s` `2x-5for22` `5-2xforx<3`

If f(x)=|x^2-5x+6|, then f'(x) equals

If f(x)=|(log)_e|x||,t h e nf^(prime)(x)e q u a l s (a) 1/(|x|),w h e r ex!=0 (b) 1/xfor|x|>1a n d-1/xfor|x| 1a n d1/xfor|x| 0a n d-1/xforx<0

If f(x)=|x-2|a n dg(x)=f[f(x)],t h e ng^(prime)(x)= ______ for x>2

If f(x)=cosx-int_0^x(x-t)f(t)dt ,t h e nf^(primeprime)(x)+f(x) is equal to (a) -cosx (b) -sinx (c) int_0^x(x-t)f(t)dt (d) 0

If f(x)=(log)_x(lnx),t h e nf^(prime)(x) at x=e is equal to 1/e (b) e (c) 1 (d) zero

If f(x)=(log)_x(lnx),t h e nf^(prime)(x) at x=e is equal to 1/e (b) e (c) 1 (d) zero

If intsqrt(1+sinx)f(x)dx=2/3(1+sinx)^(3/2)+c ,t h e nf(x)e q u a l cosx (b) sinx (c) tanx (d) 1

Suppose the function f(x) satisfies the relation f(x+y^3)=f(x)+f(y^3)dotAAx ,y in R and is differentiable for all xdot Statement 1: If f^(prime)(2)=a ,t h e nf^(prime)(-2)=a Statement 2: f(x) is an odd function.

If f(x)={x^2, for xgeq1x ,for x<0 ,t h e n fof(x) is given by

If y=f(x)=((x+3))/((x-1)),t h e n x=f(y) (b) f(1)=3 y increases with xforx<1 f is a rational function of x