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If f(x) = x-1/3, What is the Derivative of the Inverse of f(x)?
We will be using the concept of inverse function to solve this.
Answer: If f(x) = x-1/3, then the Derivative of the Inverse of f(x) is −3x-4.
Let's solve this step by step to find the answer.
Explanation:
Given that, f(x) = x-1/3
Let y = f(x) = x-1/3
y = x-1/3
Cubing on both sides:
y3 = (x-1/3)3
y3 = x-1
x = 1/y3
x = y-3