Find the derivative of by using the definition of limit.
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1. Given f(x) = x +1 -1 find f'(8) using the definition of the derivative as a limit (i.e. without using any differentiation rules). (8 marks)
1. Given f(x) = Vx+1 -1 find f'(3) using the definition of the derivative as a limit (ie, without using any differentiation rules). (8 marks)
1. (a) What is the derivative of f(x) = ? + 2.+ 7? (2 marks) (b) Verify your answer from part (a) by calculating the derivative using the limit definition. (3 marks) (c) What is the 2nd order Taylor polynomial for f(x) at r= 1? (5 marks)