query: Is the weak derivative of any function of the form $f(\lfloor g(x) \rfloor)$ $0$ everywhere?
positive_passages.docid: 145139
positive_passages.text: Weak Derivative Heaviside function
negative_passages.docid: 90369
negative_passages.text: Does $\int_a^bf(x) = 0$ imply $f(x) = 0$ for a Riemann Integral function?
negative_passages.docid: 35264
negative_passages.text: Must a monotone function have a monotone derivative?
negative_passages.docid: 110219
negative_passages.text: Bound on the derivative of a holomorphic function at $0$
negative_passages.docid: 75390
negative_passages.text: How does one prove that if function's partial derivative respect to every variable is zero, function is constant?
negative_passages.docid: 75932
negative_passages.text: Differentiability of $g:=f(\sqrt{x^2+y^2})$ for a $C^1$ function with $f'(0)=0$ NBHM $2008$
negative_passages.docid: 28096
negative_passages.text: Finding the derivative of $x\uparrow\uparrow n$
negative_passages.docid: 69378
negative_passages.text: The derivative of $x!$ and its continuity
negative_passages.docid: 135610
negative_passages.text: How to give an example of a $f$ differentiable in a deleted neighborhood of $x_0$ such that $\lim_{x\to x_0}f^\prime(x)$ doesn't exist?
negative_passages.docid: 72660
negative_passages.text: How can I show that $f$ must be zero if $\int fg$ is always zero?
negative_passages.docid: 67292
negative_passages.text: Prove that $\lim_{t\to \infty} t\mu(\{x:f(x)\geq t\})=0$
negative_passages.docid: 93806
negative_passages.text: $\|f\|_{L^{p}}=\sup\left\{\int_{{\bf R}^{n}}|f(x)g(x)|~dx:\|g\|_{L^{q}}\le1\right\}$
negative_passages.docid: 127983
negative_passages.text: Does $\lim_{x \to 0+} \left(x\lfloor \frac{a}{x} \rfloor\right)=a?$
negative_passages.docid: 66481
negative_passages.text: Convergence of characteristic functions to $1$ on a neighborhood of $0$ and weak convergence
negative_passages.docid: 49587
negative_passages.text: Does a differentiable everywhere function have a continuous derivative?
negative_passages.docid: 154612
negative_passages.text: $\int_{0}^{x} f(t) dt \ge {f(x)}$ holds or not on $[0,1]$
negative_passages.docid: 5419
negative_passages.text: Continuous functions with $f^2(x)=g^2(x)\neq 0$