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For the function f(x) = x^2 + 2x + 3, find the point where it is not differentia
For the function f(x) = x^2 + 2x + 3, find the point where it is not differentiable.
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Practice Questions
1 question
Q1
For the function f(x) = x^2 + 2x + 3, find the point where it is not differentiable.
x = -1
x = 0
x = 1
It is differentiable everywhere
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The function is a polynomial and is differentiable everywhere.
Questions & Step-by-step Solutions
1 item
Q
Q: For the function f(x) = x^2 + 2x + 3, find the point where it is not differentiable.
Solution:
The function is a polynomial and is differentiable everywhere.
Steps: 5
Show Steps
Step 1: Identify the function given, which is f(x) = x^2 + 2x + 3.
Step 2: Recognize that this function is a polynomial.
Step 3: Understand that polynomials are smooth and continuous functions.
Step 4: Recall that differentiable means the function has a derivative at that point.
Step 5: Conclude that since polynomials are differentiable everywhere, there are no points where this function is not differentiable.
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