query: Acceleration as the second derivative of $e^{-\frac{1}{t^2}}$
positive_passages.docid: 7368
positive_passages.text: Infinite series of derivatives of position when starting from rest
negative_passages.docid: 52110
negative_passages.text: About the second fundamental form
negative_passages.docid: 117338
negative_passages.text: Counterexample to second derivative test when f''(x) is not continuously differentiable
negative_passages.docid: 84436
negative_passages.text: third derivative of inverse function
negative_passages.docid: 30723
negative_passages.text: Second derivative "formula derivation"
negative_passages.docid: 108384
negative_passages.text: Special Relativity and $E = mc^2$
negative_passages.docid: 136473
negative_passages.text: Is there a scalar acceleration?
negative_passages.docid: 134871
negative_passages.text: Using definition of derivative to differentiate $f(x)= \sqrt{x}+1$
negative_passages.docid: 85085
negative_passages.text: Simplifying the derivative of $|x|$
negative_passages.docid: 84597
negative_passages.text: Derivative of $(1-x)^{-2}$
negative_passages.docid: 56275
negative_passages.text: Vector derivative w.r.t its transpose $\frac{d(Ax)}{d(x^T)}$
negative_passages.docid: 131769
negative_passages.text: How to derive this second derivative using the quotient rule?
negative_passages.docid: 105293
negative_passages.text: Proof of the second symmetric derivative
negative_passages.docid: 125615
negative_passages.text: Defining the derivative without limits
negative_passages.docid: 151788
negative_passages.text: nth derivative of $\frac{e^x−1}{x}$ (both taylor series and finite sum)
negative_passages.docid: 95598
negative_passages.text: Derivative of unit step function?
negative_passages.docid: 128355
negative_passages.text: Does $e^{tx} + x = t - 1$ yield a solution/s to $\frac{dx}{dt} = \frac{e^{-tx} - x}{e^{-tx} + t}$?