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If f(x) = x^3 - 3x + 2, find the points where f is not differentiable.

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Question: If f(x) = x^3 - 3x + 2, find the points where f is not differentiable.

Options:

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Correct Answer: 0

Solution: 

The function is a polynomial and is differentiable everywhere, hence no points of non-differentiability.

If f(x) = x^3 - 3x + 2, find the points where f is not differentiable.

Practice Questions

Q1
If f(x) = x^3 - 3x + 2, find the points where f is not differentiable.
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Questions & Step-by-Step Solutions

If f(x) = x^3 - 3x + 2, find the points where f is not differentiable.
  • Step 1: Identify the function given, which is f(x) = x^3 - 3x + 2.
  • Step 2: Recognize that this function is a polynomial.
  • Step 3: Understand that polynomials are smooth and continuous everywhere on the real number line.
  • Step 4: Conclude that since polynomials are differentiable everywhere, there are no points where f is not differentiable.
  • Differentiability of Polynomials – Polynomials are continuous and differentiable everywhere on their domain, which is the set of all real numbers.
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