A one-to-one function $f$ has $f(1)=9$, $f(9)=1$, $f^{\prime }\left(1\right)=5$ and $f^{\prime }\left(9\right)=6$. If $g$ is the inverse of $f$, find $g^{\prime }\left(9\right)$.

A one-to-one function $f$ has $f(2)=9$, $f(9)=2$, $f^{\prime }\left(2\right)=7$ and $f^{\prime }\left(9\right)=3$. If $g$ is the inverse of $f$, find $g^{\prime }\left(9\right)$.

Let $g$ be the inverse of $f(x)=x^3+9$. What is $g(-116)$?

Let $g$ be the inverse of a differentiable one-to-one function $f$. Which equation states the derivative rule for $g$ at $x=8$ correctly?

Let $g$ be the inverse of $f(x)=x^3-5$. Find $g^{\prime }\left(-13\right)$.

A one-to-one function $f$ has $f(8)=7$, $f(7)=8$, $f^{\prime }\left(8\right)=9$ and $f^{\prime }\left(7\right)=3$. If $g$ is the inverse of $f$, find $g^{\prime }\left(7\right)$.

Let $g$ be the inverse of $f(x)=x^3+2$. Find $g^{\prime }\left(66\right)$.

Let $g$ be the inverse of $f(x)=x^3-2$. Find $g^{\prime }\left(-29\right)$.

Let $g$ be the inverse of $f(x)=x^3-4$. What is $g(60)$?

A one-to-one function $f$ has $f(2)=3$ and $f^{\prime }\left(2\right)=4$. If $g$ is the inverse of $f$, which is an equation of the tangent line to $y=g(x)$ at $x=3$?

Let $g$ be the inverse of $f(x)=x^3-8$. Find $g^{\prime }\left(-72\right)$.

Let $g$ be the inverse of a differentiable one-to-one function $f$ with $f(4)=-1$. Which fact would make $g$ fail to be differentiable at $x=-1$?

Let $g$ be the inverse of $f(x)=x^3+4$. What is $g(-23)$?

A one-to-one function $f$ has $f(2)=8$, $f(8)=2$, $f^{\prime }\left(2\right)=3$ and $f^{\prime }\left(8\right)=6$. If $g$ is the inverse of $f$, find $g^{\prime }\left(8\right)$.

A one-to-one function $f$ has $f(8)=7$, $f(7)=8$, $f^{\prime }\left(8\right)=6$ and $f^{\prime }\left(7\right)=2$. If $g$ is the inverse of $f$, find $g^{\prime }\left(7\right)$.

Let $g$ be the inverse of $f(x)=x^3+x$. Which expression equals $g^{\prime }\left(x\right)$?

Let $g$ be the inverse of $f(x)=x^3-5$. Find $g^{\prime }\left(22\right)$.

Let $g$ be the inverse of $f(x)=x^3-9$. What is $g(-17)$?

Let $g$ be the inverse of $f(x)=x^3-7$. Find $g^{\prime }\left(-8\right)$.

A one-to-one function $f$ has $f(4)=5$, $f(5)=4$, $f^{\prime }\left(4\right)=9$ and $f^{\prime }\left(5\right)=7$. If $g$ is the inverse of $f$, find $g^{\prime }\left(5\right)$.

Let $g$ be the inverse of $f(x)=x^3-1$. What is $g(124)$?

Let $g$ be the inverse of $f(x)=x^3-4$. Find $g^{\prime }\left(-5\right)$.

Let $g$ be the inverse of $f(x)=x^3+8$. Find $g^{\prime }\left(-117\right)$.

Let $g$ be the inverse of a differentiable one-to-one function $f$, so $f\left(g(x)\right)=x$. Differentiating both sides with the chain rule gives which equation?