Which of the following statements describe/s the differentiability and continuity of the function f(x)? Statement 1: If f(x) is continuous at x = a, then it is differentiable at x = a. Statement 2: If f (x) is differentiable at x = a, then it is continuous at x = a. Only Statement I is always TRUE Both Statements I and Il are TRUE Only Statement Il is always TRUE Neither Statement I nor II is TRUE

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.CR: Chapter 6 Review
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Which of the following statements describe/s the differentiability and
continuity of the function f(x)?
Statement 1: If f(x) is continuous at x = a, then it is differentiable at x = a.
Statement 2: If f(x) is differentiable at x = a, then it is continuous at x = a.
Only Statement I is always TRUE
Both Statements I and Il are TRUE
Only Statement II is always TRUE
Neither Statement I nor l| is TRUE
h of the following statements describe/s the differentiability and continuity of the function ( )?
Transcribed Image Text:Which of the following statements describe/s the differentiability and continuity of the function f(x)? Statement 1: If f(x) is continuous at x = a, then it is differentiable at x = a. Statement 2: If f(x) is differentiable at x = a, then it is continuous at x = a. Only Statement I is always TRUE Both Statements I and Il are TRUE Only Statement II is always TRUE Neither Statement I nor l| is TRUE h of the following statements describe/s the differentiability and continuity of the function ( )?
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