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Search results for differentiability
3
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2
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1
TIFR CSE 2023 | Part A | Question: 6
For a function $f: \mathbb{R} \rightarrow \mathbb{R},$ consider the following conditions. $\text{(C1)}$ $|f(x)| \leq|x|$ for all $x \in \mathbb{R}$. $\text{(C2)}$ $|f(x)| \leq|x|^{2}$ for all $x \in \mathbb{R}$. $\text{(C3)}$ ... $\text{(C3)}$ only Conditions $\text{(C1)}$ and $\text{(C2)}$ only Conditions $\text{(C2)}$ and $\text{(C3)}$ only
For a function $f: \mathbb{R} \rightarrow \mathbb{R},$ consider the following conditions.$\text{(C1)}$ $|f(x)| \leq|x|$ for all $x \in \mathbb{R}$.$\text{(C2)}$ $|f(x)| \...
admin
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admin
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Mar 14, 2023
Calculus
tifr2023
calculus
continuity-and-differentiability
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6
votes
1
answer
2
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...
GO Classes
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GO Classes
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Aug 28, 2022
Calculus
goclasses2024-calculus-1
goclasses
calculus
continuity-differentiability
1-mark
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1
votes
1
answer
3
DRDO CSE 2022 Paper 1 | Question: 4
Let the function $f(x)$ be defined as follows. \[f(x)=\left\{\begin{array}{ll} x^{2} & x \leq 1 \\ 2 a x^{2}+bx + c & 1 < x \leq 2 \\ x + 2d & x>1 \end{array}\right.\] Find the values of $a, b, c$ and $d$ such that $f$ is continuous and differentiable everywhere.
Let the function $f(x)$ be defined as follows.\[f(x)=\left\{\begin{array}{ll}x^{2} & x \leq 1 \\2 a x^{2}+bx + c & 1 < x \leq 2 \\ x + 2d & x>1\end{array}\right.\]Find th...
admin
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admin
asked
Dec 15, 2022
Calculus
drdocse-2022-paper1
calculus
continuity-and-differentiability
5-marks
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