Differential And Integral Calculus, With Examples And Applications

Cover Differential And Integral Calculus, With Examples And Applications
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dx a-y d-y d^u In deriving -^. --, .... Derivatives should be used rather than dr^ di^ differentials. ^^ ^^ , EXAMPLES Find the following derivatives.
1. (rc^af + {y-bf = c\ dy _ X— a d-y _ c^ dh/ _ 3c^(x — a) dx y — b' dx;- (y — by' dx^ {y — by • dx xy + X- 3. (cos^)*=(sin 'J^^ 2 sin 2 , (co3 2 «» + co8 2g) (/^ sin 2 ^ ' (/e' sin"'' L' (9 • ;■ /^7. Y - 2.. = (X -, /) log (. R - V), ^'^ = ^^L=L^ (F. V ^ _ (x-. V)^ (/x y djT y^ ' 9. 7-siu-^ + 2r + l = 0, f~\'+2rcot6~ = i^.
dx y 4- 2 7
...;0. E^* = a'6", dy ^ _ ?/ — log g (Py _ 2(y — log n) dx X — log 6' dx^ (x — log b)\ 11. Log(r«^+r) = 2tan-^,

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