Question

How to check if a function is differentiable (example from MIT)

score 5k · Answer 1 · 2026-04-09 13:55:10

How to check if a function is differentiable (example from MIT)

Published on 09 Apr 2026 - 13:55

score 39 · Answer 2 · 2026-04-13 12:25:37

Given $S$ is a $n$-dimensional square symmetric matrix, how to calculate $\frac{\partial tr(\sqrt{SS^T})}{\partial S}$(perhaps by chain rule)?

score 1.2k · Answer 3 · 2026-04-13 16:24:42

1.2k

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Why is the derivative of these functions a secant line?

Published on 13 Apr 2026 - 16:24

score 150 · Answer 4 · 2026-04-23 04:02:46

150

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Which one of the following are true?

Published on 23 Apr 2026 - 4:02

score 32 · Answer 5 · 2026-04-10 16:41:59

32

Views

To find the monotonicity of a function using another function

Published on 10 Apr 2026 - 16:41

score 172 · Answer 6 · 2026-04-14 01:09:10

172

Views

Sufficient condition to show that f(x) is monotonic in some neighbourhood of x

Published on 14 Apr 2026 - 1:09

score 79 · Answer 7 · 2026-04-10 13:17:12

79

Views

For what value of $h$ is the minima equal to $-5$

Published on 10 Apr 2026 - 13:17

score 3.9k · Answer 8 · 2026-04-14 06:46:45

3.9k

Views

Closed or Open Intervals in Extreme Value Theorem, Rolle's Theorem, and Mean Value Theorem

Published on 14 Apr 2026 - 6:46

score 147 · Answer 9 · 2026-04-16 05:55:37

147

Views

Where did I go wrong in my working? - integration via substitution $\int_{0}^{\frac{1}{2}\ln3}\frac{1}{e^x+e^{-x}}dx$.

Published on 16 Apr 2026 - 5:55

score 437 · Answer 10 · 2026-04-13 00:46:24

437

Views

One-to-One Transformation in Bi-variate Probability Density Function

Published on 13 Apr 2026 - 0:46

score 58 · Answer 11 · 2026-04-09 17:35:57

58

Views

How do I simplify vector multiplied by nabla?

Published on 09 Apr 2026 - 17:35

score 244 · Answer 12 · 2026-04-22 12:39:01

244

Views

How is $f(z)=1_{xy \ne 0}$ not complex differentiable? I know $f(x,y)=1_{xy \ne 0}$ isn't real-differentiable

Published on 22 Apr 2026 - 12:39

score 1k · Answer 13 · 2026-04-12 05:58:49

1k

Views

How do you prove that $x|x|$ is differentiable at all points?

Published on 12 Apr 2026 - 5:58

score 115 · Answer 14 · 2026-04-17 21:20:38

115

Views

Derivative of Composite Natural Logarithm

Published on 17 Apr 2026 - 21:20

score 49 · Answer 15 · 2026-04-12 12:46:38

49

Views

Calculate $\det'(A)$ using a function $f: \mathcal{M}_{2 \times 2}(\mathbb{R}) \to \mathcal{M}_{2 \times 2}(\mathbb{R})$

Published on 12 Apr 2026 - 12:46

List Question

How to check if a function is differentiable (example from MIT)

Given $S$ is a $n$-dimensional square symmetric matrix, how to calculate $\frac{\partial tr(\sqrt{SS^T})}{\partial S}$(perhaps by chain rule)?

Why is the derivative of these functions a secant line?

Which one of the following are true?

To find the monotonicity of a function using another function

Sufficient condition to show that f(x) is monotonic in some neighbourhood of x

For what value of $h$ is the minima equal to $-5$

Closed or Open Intervals in Extreme Value Theorem, Rolle's Theorem, and Mean Value Theorem

Where did I go wrong in my working? - integration via substitution $\int_{0}^{\frac{1}{2}\ln3}\frac{1}{e^x+e^{-x}}dx$.

One-to-One Transformation in Bi-variate Probability Density Function

How do I simplify vector multiplied by nabla?

How is $f(z)=1_{xy \ne 0}$ not complex differentiable? I know $f(x,y)=1_{xy \ne 0}$ isn't real-differentiable

How do you prove that $x|x|$ is differentiable at all points?

Derivative of Composite Natural Logarithm

Calculate $\det'(A)$ using a function $f: \mathcal{M}_{2 \times 2}(\mathbb{R}) \to \mathcal{M}_{2 \times 2}(\mathbb{R})$

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