If `f(x)=sqrt(((x+1)(x+2))/((x+3)(x+6)))` then `f'(0)=?`
`(a) 0`
`(b) 1/6`
`(c) 1/3`
`(d) 1/2`

if f(x)=sqrt(x+2sqrt(2x-4))+sqrt(x-2sqrt(2x-4)) then f'(3)+f'(6)= (A) 0 (B) 1 (C) 2 (D) 1/2

If f(x)=(1-cos2x)/(x^(2)) , x!=0 and f(x) is continuous at x=0 ,then f(0)= (a) 1 (b) 2 (c) 3 (d) None of these

If f(x)=sqrt(x^(2)+6x+9), then f'(x) is equal to 1 for x<-3( b) -1 for x<-3(c)1 for all x in R(d) none of these

If 2f(x)-3f((1)/(x))=6x+(1)/(x) then find f(x) and f(2)

Let f(x)=(sqrt(x-2(sqrt(x-1))))/(sqrt(x-1)-1)x then: (a) f'(10)=1( b) f'((3)/(2))=-1( c) domain of f(x) is x>=1( d) range of f(x) is (-2,-1)uu[2,oo]

If f(x)=(1+x)(3+x^(2))^(1/2)(9+x^(3))^(1/3) then f'(-1) is equal to 0( b) 2sqrt(2)(c)4(d)6

Let f(x)=(sqrt(x-2sqrt(x-1)))/(sqrt(x-1)-1)x .Then (a) f'(10)=1( b) f'((3)/(2))=-1( c)domain of f(x) is x>=1 (d)range of f(x)is(-2,-1)uu(2,oo)

If f(x)=int((2sin x-sin2x)/(x^(3))dx);x!=0 then lim_(x rarr0)f'(x) is: (A) 0(B)oo(C)-1 (D) 1

If f(x)=sqrt(3x^(2)+6) and y=f(x^(3)), then at x=1,(dy)/(dx) is equal to

sqrt(1+sin x)f(x)dx=(2)/(3)(1+sin x)^((3)/(2))+c, then f(x) equal cos x(b)sin x(c)tan x(d)1