Question

Show that $\dfrac{\partial(fg)}{\partial z}=\dfrac{\partial(f)}{\partial z}g+f\dfrac{\partial(g)}{\partial z}$

score 104 · Answer 1 · 2026-04-10 17:40:50

104

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Show that $\dfrac{\partial(fg)}{\partial z}=\dfrac{\partial(f)}{\partial z}g+f\dfrac{\partial(g)}{\partial z}$

Published on 10 Apr 2026 - 17:40

score 167 · Answer 2 · 2026-03-31 11:25:49

167

Views

proving that $\sin\beta \cos(\beta+\theta)=-\sin\theta$ implies $\tan\theta=-\tan\beta$

Published on 31 Mar 2026 - 11:25

score 36 · Answer 3 · 2018-01-23 08:51:13

36

Views

Volume of $K = \left\{ (x,y,z)\in\mathbb{R}^3 \bigm| x^2+y^2+z^2\leq 8\,\wedge\, 4z \geq x^2+y^2+4 \right\}$

Published on 23 Jan 2018 - 8:51

score 1.6k · Answer 4 · 2026-04-09 02:43:46

1.6k

Views

Is this result related to the Taylor series?

Published on 09 Apr 2026 - 2:43

score 799 · Answer 5 · 2026-03-24 20:33:26

799

Views

How can I calculate $\lim\limits_{x\rightarrow 0} \frac{(1+x)^{\frac{1}{x}}-e}{x}$?

Published on 24 Mar 2026 - 20:33

score 24 · Answer 6 · 2026-03-25 03:03:44

24

Views

radius of convergence of number of divisors

Published on 25 Mar 2026 - 3:03

score 155 · Answer 7 · 2026-03-26 09:17:51

155

Views

Special Case of Neoclassical Utility Function: $\lim_{\sigma \to 1} \frac{1-\sigma}{-c^{\sigma}} = \ln c?$

Published on 26 Mar 2026 - 9:17

score 99 · Answer 8 · 2026-04-03 15:59:36

99

Views

comptuting $ \lim\limits_{n\to\infty} \frac{3^{n}+\sqrt{n}}{n!+2^{(n+1)}}$

Published on 03 Apr 2026 - 15:59

score 1.1k · Answer 9 · 2026-04-10 19:39:09

1.1k

Views

Simplifying system of two-variable differential equations

Published on 10 Apr 2026 - 19:39

score 274 · Answer 10 · 2026-04-12 00:05:46

274

Views

limit of integral of series of functions

Published on 12 Apr 2026 - 0:05

score 85 · Answer 11 · 2026-04-10 19:20:50

85

Views

Calculus math question

Published on 10 Apr 2026 - 19:20

score 157 · Answer 12 · 2018-01-23 14:46:40

157

Views

Evaluate $\lim \limits_{n \to \infty} n \int_{-1}^{0}(x+e^x)^n dx$.

Published on 23 Jan 2018 - 14:46

score 120 · Answer 13 · 2026-04-10 08:25:29

120

Views

Find the derivative of this integral

Published on 10 Apr 2026 - 8:25

score 160 · Answer 14 · 2026-04-10 15:42:32

160

Views

Derivative of function $\ y=[e^{x^2}-\cot(\ln(\sqrt x+\frac 1x))]^{\sec(\frac1x)} $

Published on 10 Apr 2026 - 15:42

score 215 · Answer 15 · 2026-04-12 02:29:20

215

Views

Trying to understand delta-epsilon interpretation of limits

Published on 12 Apr 2026 - 2:29

List Question

Show that $\dfrac{\partial(fg)}{\partial z}=\dfrac{\partial(f)}{\partial z}g+f\dfrac{\partial(g)}{\partial z}$

proving that $\sin\beta \cos(\beta+\theta)=-\sin\theta$ implies $\tan\theta=-\tan\beta$

Volume of $K = \left\{ (x,y,z)\in\mathbb{R}^3 \bigm| x^2+y^2+z^2\leq 8\,\wedge\, 4z \geq x^2+y^2+4 \right\}$

Is this result related to the Taylor series?

How can I calculate $\lim\limits_{x\rightarrow 0} \frac{(1+x)^{\frac{1}{x}}-e}{x}$?

radius of convergence of number of divisors

Special Case of Neoclassical Utility Function: $\lim_{\sigma \to 1} \frac{1-\sigma}{-c^{\sigma}} = \ln c?$

comptuting $ \lim\limits_{n\to\infty} \frac{3^{n}+\sqrt{n}}{n!+2^{(n+1)}}$

Simplifying system of two-variable differential equations

limit of integral of series of functions

Calculus math question

Evaluate $\lim \limits_{n \to \infty} n \int_{-1}^{0}(x+e^x)^n dx$.

Find the derivative of this integral

Derivative of function $\ y=[e^{x^2}-\cot(\ln(\sqrt x+\frac 1x))]^{\sec(\frac1x)} $

Trying to understand delta-epsilon interpretation of limits

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