When and why do we take into account the curvature of the curve at infinitesimal scale in calculus?
61585
Why is area of a surface of revolution integral $2\pi y~ds$? not '$dx$'?
68939
Derivative and vector for start of curve are orthogonal to fixed vector, hence the curve is
115712
Application of Derivatives rigorous proof
86640
Equation of a line that is tangent to a curve at point
100386
Curvature of spacetime as a real thing?
158217
Volume of neighborhood of the curve
15287
Proving that second derivative is perpendicular to curve
24664
What does it mean for objects to follow the curvature of space?
61481
Continuously Differentiable Curves in $\mathbb{R}^{d}$ and their Lebesgue Measure
140884
Limits and derivatives - two questions
131145
Measuring a curve with Dirac delta function.
77318
Why do we consider potential energy function $U(x)$ differentiable?
43681
When does the normality of the family of derivatives imply that the family itself is normal?
109159
What's the intuition behind $(\exists y)(\mathscr{C}(y)\supset\mathscr{D})\supset((\forall x)\mathscr{C}(x)\supset\mathscr{D})$
66185
condition for curve on a sphere
152446
Noether's Theorem and scale invariance
94055
Extending Rolle's Theorem to Infinity