`t(x)=log(x+sqrt(x^2+1)),t h e nf^(prime)(x)e q u a l s`

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

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

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

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