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pickaxe
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re
linear gradients ez
author
Andrew Lorimer
<andrew@lorimer.id.au>
Mon, 20 Aug 2018 02:46:16 +0000
(12:46 +1000)
committer
Andrew Lorimer
<andrew@lorimer.id.au>
Mon, 20 Aug 2018 02:46:16 +0000
(12:46 +1000)
methods/calculus.md
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methods/calculus.md
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methods/calculus.md
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## Average rate of change
## Average rate of change
+$$m \operatorname{of} x \in [a,b] = {{f(b)-f(a)}\over {b - a}} = {dy \over dx}$$
+
Average rate of change between $x=[a,b]$ given two points $P(a, f(a))$ and $Q(b, f(b))$ is the gradient $m$ of line $\overleftrightarrow{PQ}$
Average rate of change between $x=[a,b]$ given two points $P(a, f(a))$ and $Q(b, f(b))$ is the gradient $m$ of line $\overleftrightarrow{PQ}$
+On CAS: (Action|Interactive) -> Calculation -> Diff -> $f(x)$ or $y=\dots$
+
## Instantaneous rate of change
Tangent to a curve at a point - has same slope as graph at this point.
Values for $\Delta$ are always approximations.
## Instantaneous rate of change
Tangent to a curve at a point - has same slope as graph at this point.
Values for $\Delta$ are always approximations.