1. Consider the function 1 f(x) : + 2Vx || (a) Find an expression for the first two derivatives of f(x), i.e. f'(x) and f"(x). Hint: Simplify your expression for f'(x) and f"(x) as much as possible by taking a common denominator. This will help with sections (b) and (c). (b) Using the results from part (a), write down the Taylor expansion of f(x) up to order n = 2 around the point xo = 1. Write the final result in the form a + bx + cx² for some constants a, b and c. (c) Use the results of part (a) to compute the derivative 4 if t = Vx. Write the final result in terms of t only. dt

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