List questions from multivariable-calculus

Published on 12 Apr 2026 - 11:06

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Second derivative of composition of vector function

Published on 12 Mar 2018 - 16:07

26

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Domain of $h(x,y)=\frac{1-xy}{1+x^2y^2}+\ln \left(\frac{1-xy}{1+x^2y^2}\right)$

Published on 30 Mar 2026 - 17:38

74

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Tricky limits question - If $\lim_{(x,y) \rightarrow(0,0)} \ f(0,y)=0$ then $\lim_{(x,y) \rightarrow(0,0)} \ f(x,y)=0$. True or False?

Published on 12 Mar 2018 - 16:58

362

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Classify extreme point of $f(x,y)$

Published on 25 Mar 2026 - 10:21

37

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Does $f\in C^1$ Implies $f\in C$

Published on 12 Apr 2026 - 22:08

838

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Does There exist a bijection between $\mathbb{R}^2$ and $ \mathbb{R}$ such that it is differentiable

Published on 11 Apr 2026 - 16:58

90

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Find $\lim_\limits{(x,y)\to (0,0)}\frac{x^\alpha y^4}{x^2+y^4}$ where $\alpha > 0$

Published on 12 Mar 2018 - 19:43

76

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Sobolev approximation lifts to $L^p$ convergence of the exterior powers

Published on 13 Apr 2026 - 3:49

344

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Baby Rudin Chapter 9 #21

Published on 10 Apr 2026 - 19:12

53

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What am I supposed to do in this exercise?

Published on 11 Apr 2026 - 19:07

333

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Finding the global max and min of a function on the region of a circle

Published on 10 Apr 2026 - 8:31

68

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Proving the method of least squares for $2$ points in $\mathbb R^2$

Published on 13 Apr 2026 - 7:17

114

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Calculation of a Jacobian determinant

Published on 01 Apr 2026 - 16:38

79

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If $f: \mathbb{R}^n \to \mathbb{R}^n$ is one-to-one, is the differential necessarily one-to-one?

Published on 29 Mar 2026 - 3:36

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Second derivative of composition of vector function

Domain of $h(x,y)=\frac{1-xy}{1+x^2y^2}+\ln \left(\frac{1-xy}{1+x^2y^2}\right)$

Tricky limits question - If $\lim_{(x,y) \rightarrow(0,0)} \ f(0,y)=0$ then $\lim_{(x,y) \rightarrow(0,0)} \ f(x,y)=0$. True or False?

Classify extreme point of $f(x,y)$

Does $f\in C^1$ Implies $f\in C$

Does There exist a bijection between $\mathbb{R}^2$ and $ \mathbb{R}$ such that it is differentiable

Find $\lim_\limits{(x,y)\to (0,0)}\frac{x^\alpha y^4}{x^2+y^4}$ where $\alpha > 0$

Sobolev approximation lifts to $L^p$ convergence of the exterior powers

Baby Rudin Chapter 9 #21

What am I supposed to do in this exercise?

Finding the global max and min of a function on the region of a circle

Proving the method of least squares for $2$ points in $\mathbb R^2$

Calculation of a Jacobian determinant

If $f: \mathbb{R}^n \to \mathbb{R}^n$ is one-to-one, is the differential necessarily one-to-one?

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