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Derivatives of logarithmic functions Calculate the derivative of the following functions

Math

Derivatives of logarithmic functions Calculate the derivative of the following functions. In some cases, t is useful to use the proper- ties of logarithms to simplify the functions before computing f(x) 63. y-4 log, (a2-1) 65. y-(cos )In cos?66. y log, tan 64. y -log1o 67. ?.log4x 69. fx)In (3x 1 70. f(x) n 71. fx) In VIO 73, f(x) = Ina-1)(x + 2)3 y = log2 (log2 x) 2x x+ 1 68, 72. f(x)log r+ 1 1- 4x)2

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