query: Why the derivatives and gradient are used interchangeably?
positive_passages.docid: 156743
positive_passages.text: is it wrong? -> using Gradient to get the steepest slope to go upwards, so in order get minimized loss we go the opposite
negative_passages.docid: 109364
negative_passages.text: What exactly is the difference between a derivative and a total derivative?
negative_passages.docid: 151109
negative_passages.text: Verification that $\lim_{x \to a}\frac{f(x)-f(a)}{x-a}$ and $\lim_{h\to 0}\frac{f(a+h) -f(a)}{h}$ are equivalent definitions of the derivative.
negative_passages.docid: 151314
negative_passages.text: What does it mean to differentiate in calculus?
negative_passages.docid: 11385
negative_passages.text: Using the Limit definition to find the derivative of $e^x$
negative_passages.docid: 40184
negative_passages.text: Notation in partial differentiation
negative_passages.docid: 152853
negative_passages.text: What is the intuition behind the unit normal vector being the derivative of the unit tangent vector?
negative_passages.docid: 114691
negative_passages.text: Why can't differentiability be generalized as nicely as continuity?
negative_passages.docid: 48756
negative_passages.text: Why are derivatives in interaction terms treated differently from derivatives in the kinetic term?
negative_passages.docid: 105767
negative_passages.text: derivative under integral intuition
negative_passages.docid: 15155
negative_passages.text: Derivative of an even function is odd and vice versa
negative_passages.docid: 68310
negative_passages.text: Why can partial derivatives be exchanged?
negative_passages.docid: 12726
negative_passages.text: Differentiating both sides of a non-differential equation
negative_passages.docid: 59125
negative_passages.text: Why does this matrix give the derivative of a function?
negative_passages.docid: 85085
negative_passages.text: Simplifying the derivative of $|x|$
negative_passages.docid: 71092
negative_passages.text: What are the derivatives of position with respect to time
negative_passages.docid: 140884
negative_passages.text: Limits and derivatives - two questions