For the function f(x) = x^3 - 3x^2 + 4, find the value of x where f is not differentiable.
Practice Questions
1 question
Q1
For the function f(x) = x^3 - 3x^2 + 4, find the value of x where f is not differentiable.
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The function is a polynomial and is differentiable everywhere, so there is no such x.
Questions & Step-by-step Solutions
1 item
Q
Q: For the function f(x) = x^3 - 3x^2 + 4, find the value of x where f is not differentiable.
Solution: The function is a polynomial and is differentiable everywhere, so there is no such x.
Steps: 5
Step 1: Identify the function given, which is f(x) = x^3 - 3x^2 + 4.
Step 2: Understand what it means for a function to be differentiable. A function is differentiable at a point if it has a defined derivative at that point.
Step 3: Recognize that polynomials are a type of function that are smooth and continuous everywhere.
Step 4: Since f(x) is a polynomial, it does not have any points where it is not differentiable.
Step 5: Conclude that there is no value of x where f is not differentiable.
