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For the function f(x) = x^3 - 3x^2 + 4, find the points where it is not differen
For the function f(x) = x^3 - 3x^2 + 4, find the points where it is not differentiable.
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Practice Questions
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Q1
For the function f(x) = x^3 - 3x^2 + 4, find the points where it is not differentiable.
None
x = 0
x = 1
x = 2
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The function is a polynomial and is differentiable everywhere, hence there are no points where it is not differentiable.
Questions & Step-by-step Solutions
1 item
Q
Q: For the function f(x) = x^3 - 3x^2 + 4, find the points where it is not differentiable.
Solution:
The function is a polynomial and is differentiable everywhere, hence there are no points where it is not differentiable.
Steps: 5
Show Steps
Step 1: Identify the function given, which is f(x) = x^3 - 3x^2 + 4.
Step 2: Recognize that this function is a polynomial.
Step 3: Understand that polynomials are smooth and continuous functions.
Step 4: Recall that polynomials are differentiable everywhere on their domain, which is all real numbers.
Step 5: Conclude that since the function is a polynomial, there are no points where it is not differentiable.
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