query: What does the derivative of a function at a point describe?
positive_passages.docid: 151314
positive_passages.text: What does it mean to differentiate in calculus?
negative_passages.docid: 41557
negative_passages.text: Most general $A \subseteq \mathbb R$ to define derivative of $f: A \to \mathbb R$?
negative_passages.docid: 134871
negative_passages.text: Using definition of derivative to differentiate $f(x)= \sqrt{x}+1$
negative_passages.docid: 99795
negative_passages.text: Derivative of piece-wise function given by $x\sin\frac1x$ at $x=0$
negative_passages.docid: 88559
negative_passages.text: Which function (s) is(are) the k-th derivative of itself?
negative_passages.docid: 97146
negative_passages.text: differentiate with respect to a function
negative_passages.docid: 43430
negative_passages.text: What exactly does $\frac{dx}{dy}$ mean?
negative_passages.docid: 4636
negative_passages.text: How to show that $f$ is differentiable at $x=0.$
negative_passages.docid: 105767
negative_passages.text: derivative under integral intuition
negative_passages.docid: 75548
negative_passages.text: second derivative of the inverse function
negative_passages.docid: 59165
negative_passages.text: Derivative of a linear transformation.
negative_passages.docid: 100283
negative_passages.text: How to understand the notion of a differential of a function
negative_passages.docid: 112898
negative_passages.text: Derivative of sin(x)/x at $0$ by definition of derivative
negative_passages.docid: 89185
negative_passages.text: The notation for partial derivatives
negative_passages.docid: 157347
negative_passages.text: continuity, discontinuity derivative and relation to being derivative but its partials are not continuous
negative_passages.docid: 133424
negative_passages.text: Why do we make a distinction between derivatives and partial derivatives?
negative_passages.docid: 72702
negative_passages.text: Estimate on the derivative at fixed point