(Use implicit differentiation for the next two questions) d) xy + 2x - y = 7...

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(Use implicit differentiation for the next two questions) d) xy + 2x - y = 7 + x (4 marks) e) xsiny + 3y = x (4 marks) 5. Determine the derivative in simplified form (no negative exponents, no radicals, and fully factored where possible). Show all of your work/steps and simplify for full marks. 7x2 f) f(x) = x + x-3x-1 6 (3 marks) g) f(x) = (x-3) x-1 (4 marks) 7x3 h) y = (5-1) (4 marks) 6. Find the first and the second derivative of the function below. Show all of your work/steps for full marks: (5 marks) 1 d(t) = = (2-t) BONUS If in question 6 (above) the original function d(t) represents distance with respect to time, what does the first derivate represent? The second derivative? (1 mark) (Use implicit differentiation for the next two questions) d) xy + 2x - y = 7 + x (4 marks) e) xsiny + 3y = x (4 marks) 5. Determine the derivative in simplified form (no negative exponents, no radicals, and fully factored where possible). Show all of your work/steps and simplify for full marks. 7x2 f) f(x) = x + x-3x-1 6 (3 marks) g) f(x) = (x-3) x-1 (4 marks) 7x3 h) y = (5-1) (4 marks) 6. Find the first and the second derivative of the function below. Show all of your work/steps for full marks: (5 marks) 1 d(t) = = (2-t) BONUS If in question 6 (above) the original function d(t) represents distance with respect to time, what does the first derivate represent? The second derivative? (1 mark)