If `f(x)=|x-3|` and `g(x)=fof\ (x)` , then for `x > 10` , `g^(prime)(x)` is equal to (a) 1 (b) -1 (c) 0 (d) none of these

If f(x)=|x-3| and g(x)= fof (x), then for x>10,g'(x) is equal to (a)1(b)-1(c)0 (d) none of these

If f(x)=x^3+2x^2+3x+4 and g(x) is the inverse of f(x) then g^(prime)(4) is equal to- 1/4 (b) 0 (c) 1/3 (d) 4

If f(x)=x^3+2x^2+3x+4 and g(x) is the inverse of f(x) then g^(prime)(4) is equal to- 1/4 (b) 0 (c) 1/3 (d) 4

Let f(x)={(sinx^2)/x x!=0 0x=0, then f^(prime)(0^+)+f^(prime)(0^-) has the value equal to (a) 0 (b) 1 (c) 2 (d) None of these

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

If f(x)=((x^2)/(x^b))^(a+b)*((x^b)/(x^c))^(b+c)*((x^c)/(x^a))^(c+a) , then f^(prime)(x) is equal to: (a) 1 (b) 0 (c) x^(a+b+c) (d) None of these

If f(x)=(x+1)^(cot x) be continuous at x=0, the f(0) is equal to 0( b) (1)/(e)(c)e(d) none of these

If the function f(x)=2-e^(-x) and g(x)=f^(-1)(x) , then the value of g"(1) is equal to -1 (b) 0 (c) 1 (d) 1/2

If f(x)=x+tanxa n df is the inverse of g, then g^(prime)(x) equals (a) 1/(1+[g(x)-x]^2) (b) 1/(2-[g(x)-x]^2) (c) 1/(2+[g(x)-x]^2) (d) none of these

If f (x)=((x-1) (x-2))/((x-3)(x-4)), then number of local extremas for g (x) , where g (x) =f (|x|): (a) 3 (b) 4 (c) 5 (d) none of these