List questions from linear-approximation

Published on 14 Apr 2026 - 14:49

111

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Why does taking the tangent line improve the approximation in Newton's method?

Published on 12 Apr 2026 - 18:14

53

Views

How can we prove that some function, .e.g., the hyperbolic tangent function, tends to be linear around zero?

Published on 11 Apr 2026 - 23:39

83

Views

Is the product of two Jacobian matrices equal to the locally linear approximation of the original functions?

Published on 13 Apr 2026 - 2:29

364

Views

Particular Integral, with sequence

Published on 13 Apr 2026 - 5:31

25

Views

Solving ODE near a point by Taylor expansions

Published on 16 Apr 2026 - 3:25

46

Views

Why is $\lim_{x\to a}\frac{E(x)}{x-a} = 0$, instead of $\lim_{x\to a} E(x) = 0,$ used to explain why linear approximation works?

Published on 15 Apr 2026 - 18:24

7.9k

Views

Use Linear Approximation to estimate $\Delta f=f(3.02)-f(3)$

Published on 16 Apr 2026 - 13:18

104

Views

Messing with the linear approximation... I don't get Taylor's formula??

Published on 13 Apr 2026 - 17:49

97

Views

Second Order Approximation for a Polynomial

Published on 16 Apr 2026 - 14:55

192

Views

Linear Approximation of a quantity

Published on 14 Apr 2026 - 0:49

19k

Views

Linear approximation with two variables

Published on 11 Apr 2026 - 18:02

154

Views

Linear approximation to find partial derivatives

Published on 10 Apr 2026 - 23:25

85

Views

error in approximation a monotonic function in L^1

Published on 12 Apr 2026 - 1:45

247

Views

Quadratic/ Cubic/ etc approximations without the Taylor series

Published on 13 Apr 2026 - 16:08

List Question

Jacobian of azimuth and elevation angles with respect to unit vector

Why does taking the tangent line improve the approximation in Newton's method?

How can we prove that some function, .e.g., the hyperbolic tangent function, tends to be linear around zero?

Is the product of two Jacobian matrices equal to the locally linear approximation of the original functions?

Particular Integral, with sequence

Solving ODE near a point by Taylor expansions

Why is $\lim_{x\to a}\frac{E(x)}{x-a} = 0$, instead of $\lim_{x\to a} E(x) = 0,$ used to explain why linear approximation works?

Use Linear Approximation to estimate $\Delta f=f(3.02)-f(3)$

Messing with the linear approximation... I don't get Taylor's formula??

Second Order Approximation for a Polynomial

Linear Approximation of a quantity

Linear approximation with two variables

Linear approximation to find partial derivatives

error in approximation a monotonic function in L^1

Quadratic/ Cubic/ etc approximations without the Taylor series

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