Difference between revisions of "P. 167, lines -4,-3 and -2"
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Jump to navigationJump to search (Created page with "The derivatives should be: <math>\frac{df}{dt}(t) = -\frac{2t}{(1+t^2)^2}</math> <math>\frac{d^2f}{dt^2}(t) = \frac{6 t^2}{(1+t^2)^3 - \frac{2}{(1+t^2)^3}</math> <math>\fra...") |
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<math>\frac{df}{dt}(t) = -\frac{2t}{(1+t^2)^2}</math> | <math>\frac{df}{dt}(t) = -\frac{2t}{(1+t^2)^2}</math> | ||
| − | <math>\frac{d^2f}{dt^2}(t) = \frac{6 t^2}{(1+t^2)^3 - \frac{2}{(1+t^2)^3}</math> | + | <math>\frac{d^2f}{dt^2}(t) = \frac{6 t^2}{(1+t^2)^3} - \frac{2}{(1+t^2)^3}</math> |
<math>\frac{d^3 f}{d t^3}(t) = \frac{24 t^2}{(1+t^2)^4} - \frac{24 t}{(1+t^2)^4}</math> | <math>\frac{d^3 f}{d t^3}(t) = \frac{24 t^2}{(1+t^2)^4} - \frac{24 t}{(1+t^2)^4}</math> | ||
[[Engineering Differential Equations: Theory and Applications, Springer 2010#Errata|Return to errata.]] | [[Engineering Differential Equations: Theory and Applications, Springer 2010#Errata|Return to errata.]] | ||
