Andrew's git
/
notes.git
/ diff
summary
|
log
|
commit
| diff |
tree
commit
grep
author
committer
pickaxe
?
re
[spec] reciprocal differentiation
author
Andrew Lorimer
<andrew@lorimer.id.au>
Mon, 25 Mar 2019 11:04:38 +0000
(22:04 +1100)
committer
Andrew Lorimer
<andrew@lorimer.id.au>
Mon, 25 Mar 2019 11:04:38 +0000
(22:04 +1100)
spec/calculus.md
patch
|
blob
|
history
raw
|
patch
| inline |
side by side
(from parent 1:
793f42b
)
diff --git
a/spec/calculus.md
b/spec/calculus.md
index ca7f85dd9993e6cf5903c8ffb56721b3fe477312..6c6685a3690062312336d71d7dcce93374b83ae8 100644
(file)
--- a/
spec/calculus.md
+++ b/
spec/calculus.md
@@
-176,6
+176,10
@@
$${d(\log_e x)\over dx} = x^{-1} = {1 \over x}$$
<!-- $${d(ax^{nx}) \over dx} = an \cdot e^nx$$ -->
+Reciprocal derivatives:
+
+$${{dy \over dx} \over 1} = dx \over dy$$
+
## Differentiating $x=f(y)$
Find $dx \over dy$. Then $dx \over dy = {1 \over {dy \over dx}} \therefore {dy \over dx} = {1 \over {dx \over dy}$