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Which of the following is true? O If the function is continuous at x = c then you can use the tangent line approximation at x = c. O The function does not need to be differentiable at x = c to use the tangent line approximation at x = c. O The function needs to be differentiable near x = c, to use the tangent line approximation at x = c.

Which of the following is true? O If the function is continuous at x = c then you can use the tangent line approximation at x = c. O The function does not need to be differentiable at x = c to use the tangent line approximation at x = c. O The function needs to be differentiable near x = c, to use the tangent line approximation at x = c.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Question:** Which of the following is true? - If the function is continuous at \( x = c \), then you can use the tangent line approximation at \( x = c \). - The function does not need to be differentiable at \( x = c \) to use the tangent line approximation at \( x = c \). - The function needs to be differentiable near \( x = c \), to use the tangent line approximation at \( x = c \).
Transcribed Image Text:**Question:** Which of the following is true? - If the function is continuous at \( x = c \), then you can use the tangent line approximation at \( x = c \). - The function does not need to be differentiable at \( x = c \) to use the tangent line approximation at \( x = c \). - The function needs to be differentiable near \( x = c \), to use the tangent line approximation at \( x = c \).
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