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please help answer the attached practise questions, thank you. Question 4 (9 marks) For the following functions: (i) Differentiate them using first principles. ((a) =

please help answer the attached practise questions, thank you.

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Question 4 (9 marks) For the following functions: (i) Differentiate them using first principles. ((a) = 3 marks, (b) = 4 marks) (ii) Determine the gradient of the tangent to the curve at the point where x = 3. ((a) = 1 marks, (b) = 1 marks) (a) y = x(x+3) (b) f (x ) = 5 ( x - 1 ) 2 Question 5 (15 marks) a) By considering the gradient of the secant through the points P(x, f (x)) and Q (x + h, f(x + h)) on the curve f (x) = x3 - 6x + 1, find the derivative f'(x). (3 marks) (Hint: It's asking you to find f' (x) using first principles)

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