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Please help me with these derivative problems! Could you please explain them step-by-step? Thanks! 14. Find the equation of the line tangent to the graph

Please help me with these derivative problems! Could you please explain them step-by-step? Thanks!

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14. Find the equation of the line tangent to the graph of g(x) = - when x = 1. 413 15. The line defined by the equation _ x+3= -2(y -3) is the line tangent to the graph of a function f(x) when x = a. What is the value of f '(a) ? Show your work and explain your reasoning. 16. The line defined by the equation y - 3 = -2 (x + 3) is the line tangent to the graph of a function f(x) at the point (-3, 3). What is the equation of the normal line when x = -3. Explain your reasoning

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