Question

What justifies writing the chain rule as $\frac{d}{dx}=\frac{dy}{dx}\frac{d}{dy}$ when there is no function for it to operate on?

score 248 · Answer 1 · 2016-11-12 23:58:45

248

Views

What justifies writing the chain rule as $\frac{d}{dx}=\frac{dy}{dx}\frac{d}{dy}$ when there is no function for it to operate on?

Published on 12 Nov 2016 - 23:58

score 1.4k · Answer 2 · 2016-11-13 12:16:32

Why is the "inside function" the exponent itself when differentiating e^x, but not for other expressions raised to some power?

score 100 · Answer 3 · 2026-03-25 12:33:51

100

Views

What is $\frac{\partial(\frac{d(x(t))}{dt})}{(\partial x(t))}$?

Published on 25 Mar 2026 - 12:33

score 37 · Answer 4 · 2016-11-15 17:11:13

37

Views

Chain rule for a function of two variables - is my proof correct?

Published on 15 Nov 2016 - 17:11

score 85 · Answer 5 · 2016-11-15 19:55:38

85

Views

What is this limit (fundamental theorem of calculus)

Published on 15 Nov 2016 - 19:55

score 97 · Answer 6 · 2016-11-20 09:54:12

97

Views

Are $f'(u)$ and $[f(u)]'$ the same?

Published on 20 Nov 2016 - 9:54

score 70 · Answer 7 · 2016-11-29 21:20:21

70

Views

Partial derivative - Chain rule problem

Published on 29 Nov 2016 - 21:20

score 1.3k · Answer 8 · 2016-11-30 23:07:47

1.3k

Views

Finding a derivative using multiple chain rules

Published on 30 Nov 2016 - 23:07

score 708 · Answer 9 · 2016-12-02 01:14:54

708

Views

Has the whole world gone crazy? Quotient rule, exponential function, curvature.

Published on 02 Dec 2016 - 1:14

score 351 · Answer 10 · 2016-12-02 12:45:47

351

Views

Chain Rule $f(x) = (ax + b)^n$

Published on 02 Dec 2016 - 12:45

score 16.9k · Answer 11 · 2016-12-02 14:19:25

16.9k

Views

The derivative of $f(x^2)$

Published on 02 Dec 2016 - 14:19

score 57 · Answer 12 · 2016-12-02 16:22:46

57

Views

Higher order derivatives of the conjugate of a function

Published on 02 Dec 2016 - 16:22

score 197 · Answer 13 · 2016-12-06 01:36:16

197

Views

Trouble understanding chain rule proof

Published on 06 Dec 2016 - 1:36

score 83 · Answer 14 · 2016-12-06 21:21:56

83

Views

Derivative of Integral with Function in Bound

Published on 06 Dec 2016 - 21:21

score 169 · Answer 15 · 2026-03-28 13:37:30

169

Views

Question about implicit differentiation and y derivative

Published on 28 Mar 2026 - 13:37

List Question

What justifies writing the chain rule as $\frac{d}{dx}=\frac{dy}{dx}\frac{d}{dy}$ when there is no function for it to operate on?

Why is the "inside function" the exponent itself when differentiating e^x, but not for other expressions raised to some power?

What is $\frac{\partial(\frac{d(x(t))}{dt})}{(\partial x(t))}$?

Chain rule for a function of two variables - is my proof correct?

What is this limit (fundamental theorem of calculus)

Are $f'(u)$ and $[f(u)]'$ the same?

Partial derivative - Chain rule problem

Finding a derivative using multiple chain rules

Has the whole world gone crazy? Quotient rule, exponential function, curvature.

Chain Rule $f(x) = (ax + b)^n$

The derivative of $f(x^2)$

Higher order derivatives of the conjugate of a function

Trouble understanding chain rule proof

Derivative of Integral with Function in Bound

Question about implicit differentiation and y derivative

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