Difference between revisions of "Math 22 Differentials and Marginal Analysis"
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==Differentials== | ==Differentials== | ||
| − | Let <math>y=f(x)</math> represent a differentiable function. The differential of <math>x</math (denoted by <math>dx</math>) | + | Let <math>y=f(x)</math> represent a differentiable function. The differential of <math>x</math> (denoted by <math>dx</math>) |
is any nonzero real number. The differential of <math>y</math> (denoted by ) is <math>dy=f'(x) dx</math>. | is any nonzero real number. The differential of <math>y</math> (denoted by ) is <math>dy=f'(x) dx</math>. | ||
Revision as of 06:30, 10 August 2020
Differentials
Let Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle y=f(x)}
represent a differentiable function. The differential of Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle x}
(denoted by Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle dx}
)
is any nonzero real number. The differential of Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle y}
(denoted by ) is Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle dy=f'(x) dx}
.
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