HW04 - MATH 132 HW 04 Answer Section 3.2 [4]. Find the...

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Unformatted text preview: MATH 132 HW 04 Answer Section 3.2 [4]. Find the first and second derivatives of w = 3z 7 - 7z 3 + 21z 2 Solution: dw dz d2 w dz 2 = w = 21z 6 - 21z 2 + 42z = w = 126z 5 - 42z + 42 [8]. Find the first and second derivatives of s = -2t-1 + Solution: s = -2t-1 + t4 = -2t-1 + 4t-2 2 ds dt d2 s dt2 4 t2 = s = 2t-2 - 8t-3 = s = -4t-3 + 24t-4 [20]. Find the derivative of f (t) = Solution: f (t) = t2 - 1 t2 + t - 2 t2 - 1 (t - 1)(t + 1) t+1 = = 2+t-2 t (t - 1)(t + 2) t+2 2 f (t) = (t + 1) (t + 2) - (t + 1) (t + 2) (t + 2) = 1 (t + 2) - (t + 1) 1 (t + 2) 2 = 1 (t + 2) 2 [28]. Find the derivative of y= Solution: y= (x + 1) (x + 2) (x - 1) (x - 2) (x + 1) (x + 2) x2 + 3x + 2 = 2 (x - 1) (x - 2) x - 3x + 2 x2 - 3x + 2 - x2 + 3x + 2 2 2 dy dx = y = = x2 + 3x + 2 2 x2 - 3x + 2 (x2 - 3x + 2) (2x + 3) x - 3x + 2 - x + 3x + 2 (2x - 3) (x2 - 3x + 2) 2 ...
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This note was uploaded on 05/13/2008 for the course MATH 132 taught by Professor Julies during the Spring '08 term at Michigan State University.

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