Let `f(x)=(g(x))/x ` when `x!=0` and `f(0)=0.` If `g(0)=g^(prime)(0)=0`and
`g^`"`(0)=17` then `f^(prime)(0)=` a).`3/4` b). `-1/2` c). `17/3` d). `17/2`

f(x)=e^x.g(x) , g(0)=2 and g'(0)=1 then f'(0)=

If f(x)=e^xg(2x),g(0)=4 and g'(0) = 2 then f'(0) is equal to

Let f(x)={x+1,x >0, 2-x ,xlt=0 and g(x)={x+3,x 0)g(f(x)).

If f(x)=(e^(x))/(g(x)),g(0)=6,g'(0)=2 , then f'(0) is

If f(x)=x+1,g(x)=x^2+1 , then (f+g)/(fg) (0) =?

If y=g{g(x)}, g(0)=0 and g'(0)=2 then find dy/dx at x=0

If f(x)=3x+1,g(x)=x^3+2 , then (f+g)/(fg) (0) =?

If for a continuous function f,f(0)=f(1)=0,f^(prime)(1)=2 and y(x)=f(e^x)e^(f(x)) , then y^(prime)(0) is equal to a. 1 b. 2 c. 0 d. none of these

Let g(x)=2f(x/2)+f(x) and f''(x)lt0 " in "0lexle1 , then g(x)

Let f(x) be a function defined on (-a ,a) with a > 0. Assume that f(x) is continuous at x=0a n d(lim)_(xvec0)(f(x)-f(k x))/x=alpha,w h e r ek in (0,1) then a. f^(prime)(0^+)=0 b. f^(prime)(0^-)=alpha/(1-k) c. f(x) is differentiable at x=0 d. f(x) is non-differentiable at x=0