Question: 1. (a) (2 marks) Using logarithmic differentiation , explain why the derivative of y = 727 is y' = 72x (2In7). No marks for any

1. (a) (2 marks) Using logarithmic differentiation , explain why the

1. (a) (2 marks) Using logarithmic differentiation , explain why the derivative of y = 727 is y' = 72x (2In7). No marks for any explanation that does not use logarithmic differentiation. (b) (2 marks) Let g(x)=tan -1( x). Evaluate and simplify g'(1). Show your work. 2. (4 marks) Consider the curve defined by the equation x2 _2x _ 2y? = _5 Using implicit differentiation, determine all points (x,y ) where the tangent line is horizontal. You must show your work explaining your

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