1. Find the derivatives of the following functions: 2. If Hence show that (a) In(8x) (b) In(3x-2)...

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1. Find the derivatives of the following functions:

(a) In(8x) (b) In(3x-2) (c) x In(2x)

(d) In(2x) x (e) exp(3x) In(6x) (g) In(x - 2x+3) (h) In(exp(4x)) (f) - ln x X (1) In x+2 x-1

2. If

y = 2 + 3x - In +3x - In x +  find X 2 dy and dx dy dx

Hence show that

dy x. dx -2y = 2lnx

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