#real analysis

2 public questions tagged with this topic.

General Mathematics 4

If y = t(x) be a differentiable function ∀ x ∈ ℝ, then which of the following is always true?

Simply put, complete solution: write formula, plug data, do arithmetic. Final value matches d²y/dx² + (dy/dx)³ d²x/dy² = 0. Simple and accurate.

Ref: NCERT Mathematics Class XI and XII

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General Mathematics 1

If f: R → R is a function such that f(x) = [x], where [.] denotes greatest integer function then f(x) is a

Understanding this is easy: solving fully: apply relevant formula, put numbers, compute. Result comes as many-one and into. Easy verification shows it satisfies condition.

Ref: NCERT Mathematics Class XI and XII

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#real analysis

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If y = t(x) be a differentiable function ∀ x ∈ ℝ, then which of the following is always true?

If f: R → R is a function such that f(x) = [x], where [.] denotes greatest integer function then f(x) is a

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