Abstract
Let f be a real valued function defined on an open interval containing x. We say that f is differentiable at x, or that f has a derivative at x, denoted by \(f^\prime (x)\), if the limit \( f^\prime (x)= \lim \limits _{\varDelta x \rightarrow 0} \displaystyle \frac{f(x+\varDelta x)-f(x)}{\varDelta x} \) exists and is finite.
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© 2020 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
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Davvaz, B. (2020). Derivatives. In: Examples and Problems in Advanced Calculus: Real-Valued Functions. Springer, Singapore. https://doi.org/10.1007/978-981-15-9569-1_3
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DOI: https://doi.org/10.1007/978-981-15-9569-1_3
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