When Is a Function Differentiable?
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When Is a Function Differentiable?
930 viewsJul 21, 2025
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Q) Find whether the function 𝑓(π‘₯)={(π‘₯βˆ’1, π‘₯=2 2π‘₯βˆ’3, π‘₯β‰₯2) at π‘₯=2 is differentiable or not.
2:45
Q) Find whether the function 𝑓(π‘₯)={(π‘₯βˆ’1, π‘₯=2 2π‘₯βˆ’3, π‘₯β‰₯2) at π‘₯=2 is differentiable or not.
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Q) Let y=y(x) be a differentiable function in the interval (0,∞) such that y(1)=2. and lim┬(tβ†’x
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Q) Let y=y(x) be a differentiable function in the interval (0,∞) such that y(1)=2. and lim┬(tβ†’x
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Q) Let 𝑓:[1,∞)→ℝ be a differentiable function, If 6∫1^π‘₯ 𝑓(𝑑)𝑑𝑑=3π‘₯𝑓(π‘₯)+π‘₯^3βˆ’4 for a
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Q) Let 𝑓:[1,∞)→ℝ be a differentiable function, If 6∫1^π‘₯ 𝑓(𝑑)𝑑𝑑=3π‘₯𝑓(π‘₯)+π‘₯^3βˆ’4 for a
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Q) Let f be a differentiable function on 𝐑 such that f(2)1, 𝑓^β€² (2)=4. Let lim(π‘₯β†’0) (𝑓(2+π‘₯))^(3
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Q) Let 𝑓:Rβ†’(0,∞) be a twice differentiable function such that f(3)=18,f^β€² (3)=0 and f^β€²β€² (3)=4.
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Q) For the differentiable function 𝑓:β„βˆ’{0}→ℝ, let 3𝑓(π‘₯)+2𝑓(1/π‘₯)=1/π‘₯βˆ’10, then |𝑓(3)+𝑓^β€² (1/4)| is
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Q) Let 𝑓(π‘₯) is twice differentiable function on R such that 𝑓(3)=18,𝑓^β€² (3)=0 and 𝑓^β€²β€² (3)=4
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Lecture 18: Weierstrass's Example of a Continuous and Nowhere Differentiable Function | Real Analysis | Mathematics | MIT OpenCourseWare
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A function that is continuous everywhere but differentiable nowhere
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