Calculus
posted by Mary
Hello I need help with this excersise of derivative of a inverse function. The excersise says:
If f(x+2)=x^3+1 and g(x)=f(arctg x), find the derivative of the inverse function of g(x) and then calculate (g^1 (9))'[the derivative of the inverse function evaluated in 9] .
I don't know which is the function f, they only give me f (x+2) and I don't understand how to get f
Please help

Steve
if
f(x+2) = x^3+1, then replace x with x2 and you have
f(x2+2) = f(x) = (x2)^3 + 1
f^1(x) = ∛(x1) + 2
now just take the derivative of the inverse in the normal way. 
Ange
(a) Find an angle between
0
and
2π
that is coterminal with
−7π2
.
(b) Find an angle between
0°
and
360°
that is coterminal with
586°
Respond to this Question
Similar Questions

inverse
If f(x)=cosx + 3 how do I find f inverse(1)? 
algebra
1 (a) A function passes through the points (0, 5), (1, 0), (2, 7). Use finite differences to determine the equation of the function. (b) Draw the graph of the function. (c) Draw the inverse on the graph. (d) Show at least two different … 
math
The cost of producing q articles is given by the function C=f(q)=100+2q. (A) Find the formula for the inverse function. (B) Explain in practical terms what the inverse function tells you. I am pretty sure the answer to A is f^1(C)=C/250 … 
Math
Find the derivative of the inverse of the function f(x)=6x+(9x^21) when x=15 
calculus
Find the derivative of the inverse for the function f and real number a. f(x)=xrad(x3) a=4 Please help. Thank you very much for your time and assistance. 
pre calculus
Find the inverse of the function below. Graph the function below and the inverse. Determine the domain, range and asymptotes of the function below and the inverse function. Please show all your work. f(x) = 2e^x + 5 Just looking at … 
Maths B
(a) What is the inverse of the function y = 3x2 ? 
Calculus (Derivatives of Inverse Functions)
Suppose f(x) = sin(pi cos(x)). On any interval where the inverse function y = f^1(x) exists, the derivative of f^1(x) with respect to x is: I've come as far as y = arccos ((arcsin(x))/pi), but I am not certain this is right. 
Math steve? reiny?
1. Let f(x)=x^5 + 2x^3 + x  1 Find f^1(3) and (f^1)'(3)? 
Please HELP! Calculus (Implicit functions)
Find the inverse of the function y = (square root x) + 4x , then solve for its 1st order derivative.