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If f(x) = x^3 - 3x + 2, find the points where f is not differentiable.
If f(x) = x^3 - 3x + 2, find the points where f is not differentiable.
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Q1
If f(x) = x^3 - 3x + 2, find the points where f is not differentiable.
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The function is a polynomial and is differentiable everywhere, hence no points of non-differentiability.
Questions & Step-by-step Solutions
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Q
Q: If f(x) = x^3 - 3x + 2, find the points where f is not differentiable.
Solution:
The function is a polynomial and is differentiable everywhere, hence no points of non-differentiability.
Steps: 4
Show Steps
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.
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