Difference between revisions of "009A Sample Final 1, Problem 8"
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::::::<math>y=x^3</math> | ::::::<math>y=x^3</math> | ||
| − | + | <span class="exam">a) Find the differential <math>dy</math> of <math>y=x^3</math> at <math>x=2</math>. | |
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| + | <span class="exam">b) Use differentials to find an approximate value for <math>1.9^3</math>. | ||
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Revision as of 21:50, 1 February 2016
Let
a) Find the differential 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} 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=x^3} at 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=2} .
b) Use differentials to find an approximate value for 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 1.9^3} .
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Solution:
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(b)
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(c)
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