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Recent questions tagged continuity-differentiability
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GO Classes Test Series 2023 | Calculus | Test 1 | Question: 10
Consider the following statements: $f(x)$ is continuous on $[a, b]$ $f(x)$ is differentiable on $(a, b)$ $f(a)=f(b)$ Which of the above statements are required in order to guarantee a $c \in(a, b)$ such that $f^{\prime}(c)(b-a)=f(b)-f(a) ?$ I only I and II only I, II, and III I and III only
Consider the following statements:$f(x)$ is continuous on $[a, b]$$f(x)$ is differentiable on $(a, b)$$f(a)=f(b)$Which of the above statements are required in order to gu...
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Aug 28, 2022
Calculus
goclasses2024-calculus-1
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