Let `g(x)` be the inverse of an invertible function `f(x)` which is differentiable at `x=c` . Then `g^(prime)(f(x))` equal. (a)`f^(prime)(c)` (b) `1/(f^(prime)(c))` (c) `f(c)` (d) none of these

Let g(x) be the inverse of an invertible function f(x), which is differentiable for all real x. Then g''(f(x)) equals

Let g(x) be the inverse of an invertible function f(x), which is differentiable for all x, then g'f(x) is equal to

Let g(x) be the inverse of an invertible function f(x), which is differentiable for all real xdot Then g^('')(f(x)) equals. (a) -(f^('')(x))/((f^'(x))^3) (b) (f^(prime)(x)f^('')(x)-(f^(prime)(x))^3)/(f^(prime)(x)) (c) (f^(prime)(x)f^('')(x)-(f^(prime)(x))^2)/((f^(prime)(x))^2) (d) none of these

A function f(x) is differentiable at x=c(c in R). Let g(x)=|f(x)|,f(c)=0 then

Let f(x) be a function differentiable at x=c. Then lim_(x to c) f(x) equals

Let g(x) be the inverse of the function f(x) ,and f'(x) 1/(1+ x^(3)) then g(x) equals

Let g(x) be the inverse of the function f(x) and f'(x)=(1)/(1+x^(3)) then g'(x) equals

Let g(x) be the inverse of the function f(x)=ln x^(2),x>0 . If a,b,c in R ,then g(a+b+c) is equal to

If f(x)=|x-a|varphi(x), where varphi(x) is continuous function, then (a) f^(prime)(a^+)=varphi(a) (b) f^(prime)(a^-)=-varphi(a) (c) f^(prime)(a^+)=f^(prime)(a^-) (d) none of these