If `y=f(x)=x^3+x^5` and `g` is the inverse of `f` find `g^(prime)(2)`

If y=f(x)=x^(3)+x^(5) and g is the inverse of f find g'(2)

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

If f(x)=x^(5)+2x^(3)+2x and g is the inverse of f then g'(-5) is equal to

Let f(x)=(1)/(1+x^(2)) and g(x) is the inverse of f(x) ,then find g(x)

f is a strictly monotonic differentiable function with f^(prime)(x)=1/(sqrt(1+x^3))dot If g is the inverse of f, then g^(prime prime)(x)= a. (2x^2)/(2sqrt(1+x^3)) b. (2g^2(x))/(2sqrt(1+g^2(x))) c. 3/2g^2(x) d. (x^2)/(sqrt(1+x^3))

If y=f(x) and x=g(y) are inverse of each other. Then g'(y) and g"(y) in terms of derivative of f(y) is A. -(f"(x))/([f'(x)]^(3)) B. (f"(x))/([f'(x)]^(2)) C. -(f"(x))/([f'(x)]^(2)) D. None of these

If g is the inverse of f and f'(x)=1/(1+x^n) , prove that g^(prime)(x)=1+(g(x))^n