query: continuous function with zero right-derivative implies it is constant
positive_passages.docid: 147516
positive_passages.text: Continuous function whose right hand derivative equals 0 is constant?
negative_passages.docid: 128911
negative_passages.text: Continuous extension of a real function
negative_passages.docid: 24471
negative_passages.text: Does the derivative of a continuous function goes to zero if the function converges to it?
negative_passages.docid: 141863
negative_passages.text: If the imaginary part of an entire function is never zero, the function is constant
negative_passages.docid: 94899
negative_passages.text: Graph of a continuous function has measure zero
negative_passages.docid: 145919
negative_passages.text: If $f: \Bbb{R}\rightarrow\Bbb{R}$ is continuous at $0$ and $f(x)=f(2x)$ for each $x\in\Bbb{R}$ then $f$ is constant.
negative_passages.docid: 113343
negative_passages.text: $f$ is constant if derivative equals zero
negative_passages.docid: 128719
negative_passages.text: Are constants the only continuous functions with "symmetric derivative" zero?
negative_passages.docid: 150554
negative_passages.text: proof that $f'$ is continuous at $a$
negative_passages.docid: 40208
negative_passages.text: Locally Constant Functions on Connected Spaces are Constant
negative_passages.docid: 103495
negative_passages.text: Let $f$ be continuous. Then $\int_{0}^{x}\left[\int_{0}^{t}f\left(u\right)du\right]dt=\int_{0}^{x}f\left(u\right)\left(x-u\right)du$
negative_passages.docid: 56127
negative_passages.text: Prove a function is constant under certain conditions
negative_passages.docid: 99858
negative_passages.text: Cumulative distribution function and right continuity
negative_passages.docid: 143174
negative_passages.text: property of continuous function
negative_passages.docid: 127114
negative_passages.text: Differentiability implying continuity
negative_passages.docid: 113888
negative_passages.text: Behavior of derivative near the zero of a function.
negative_passages.docid: 34719
negative_passages.text: Show this holomorphic function is constant