Math 149 Quiz on differention key 11 January 2012 In 59 D D f xD gives the partial derivative f x D f 8x n D gives the multiple derivative n f xn D f x y D differentiates f successively with respect to x y D f 88x1 x2 D for a scalar f gives the vector derivative H f x1 f x2 L D f 8array D gives a tensor derivative Press and hold the Shift key and then press the Enter key while still holding down the Shift key after entering a Mathematica command 1 In 60 D 13 x 3 8 x 2 5 x 3 xD Out 60 5 16 x 39 x2 Assign a value to a variable after clearing the variable then differentiate In 61 Clear yD In 62 y 13 x 3 8 x 2 5 x 3 Out 62 3 5 x 8 x2 13 x3 In 63 D y xD Out 63 5 16 x 39 x2 2 Define a function and display it In 64 Clear fD In 65 f x D Ha x bL Hc x dL In 66 f xD b ax Out 66 d cx Differentiate 2 Quiz00S12math nb c Hb a xL In 67 D f xD xD Out 67 In 68 Together D Hd c xL2 a d cx b c a d Out 68 Hd c xL2 c Hb a xL In 69 f xD Out 69 In 70 Together f xDD Hd c xL2 a d cx b c a d Out 70 Hd c xL2 3 In 71 In 72 Clear sD s H2 3L u Sqrt uD 2 u3 2 Out 72 3 In 73 Out 73 D s uD u 4 In 74 Clear wD In 75 Out 75 I6 t 2 t3 M Cos tD In 76 D w tD Out 76 w H6 t 2 t 3L Cos tD I6 6 t2 M Cos tD I6 t 2 t3 M Sin tD 5 In 77 In 78 Clear fD f T D H1 H2 LLL Sqrt T RhoD Quiz00S12math nb In 79 f TD T Rho Out 79 2L In 80 f TD 1 Out 80 4 L Rho T Rho 3
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