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

If f(x)=log[e^(x)((3-x)/(3+x))^(1//3)] then f'(1) is equal to a) (3)/(4) b) (2)/(3) c) (1)/(3) d) (1)/(2)

If f(x)=(x-4)/(2sqrt3) , then f'(1) is equal to?

If f(x) = |x-2| + |x+1| - x , then f'(-10) is equal to a)-3 b)-2 c)-1 d)0

if f(x)=3|x|+|x-2| then f'(1) is equal to a)2 b)1 c)3 d)0

If f(x) = cos^(-1) ((2 cos x + 3 sin x)/( sqrt(13) ) ) , then [f' (x)]^2 is equal to a) sqrt(1+x) b) 1+2x c) 2 d) 1

If f(x) =cos^(-1)x+cos^(-1){(x/2+1/2sqrt(3-3x^(2)))} then f(2/3) equals

If f(x)=2x^(2)+bx+c and f(0)=3 and f(2)=1 , then f(1) is equal to a)1 b)2 c)0 d) 1/2

IF f(x) =2x^2 +bx +c and f(0) =3 and f (2) =1, then f(1) is equal to

If f'(x)=(1)/(-x+sqrt(x^(2)+1)) and f(0)=(1+sqrt(2))/(2) then f(1) is equal to -log(sqrt(2)+1)( b )11+sqrt(2)(d) none of these

If int (sqrt(1+3sqrt(x)))/(x^(2//3))dx=2f(x)^(3//2)+c , then f(x)equals :