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solve all the questions completely with neat handwriting ... Question 1 (a) Differentiate the following functions (i) f(x) = arcsin(2x + 1) e3x (ii) f(x)

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solve all the questions completely with neat handwriting ...

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Question 1 (a) Differentiate the following functions (i) f(x) = arcsin(2x + 1) e3x (ii) f(x) = [5,5] In x (b) Write TAYLOR's Formula (with remainder term ) for the function f(x) = Inx, x E [3, 5] at To = 4 with n = 3 . [10] (c) Find y' if y = x*. (5] (d) Find the nth derivative of the function f(x) = xsinx 5

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