Question 5 Let 6.1 f(x)= x² +cOS X. 6.2 f(x) = -x² + 4x - 7. f(x): کئے = Determine whether or not f(x) is continuous at

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Question 5 Let 6.1 f(x)= x² +cOS X. 6.2 f(x) = -x² + 4x - 7. f(x): کئے = Determine whether or not f(x) is continuous at x = 1. Question 6 Use the first principle to determine f'(x) of the following functions: 4x² if x < -1 3x² if x ≥ -1 8.1 y = In-5t³+2t-3-6 lnt-3² 8.2 g(t) = 2ln(-3) In e-2t-³. 7.1 f(x)= (-x³2x2+5)(x-4+5x² - x - 9). 7.2 f(x) = (x+¹)-2. 7.3 f(x) = (-2x²-x)(=3x³-42²). Question 7 Use the appropriate differentiation techniques to determine the f'(x) of the following functions (simplify your answer as far as possible): Question 8 Differentiate the following with respect to the independent variables: (5) (3) (3) (4) (4) + (4) (3)