5. Find the derivative of: a) f(x)=(1+ex) Inx (5 marks) 7x-x .3 b) f(x) = =...

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5. Find the derivative of: a) f(x)=(1+ex) Inx (5 marks) 7x-x .3 b) f(x) = = (5 marks) 10x+1 c) y = ln(3x+1)4 (5 marks) d) Use implicit differentiation to find y', and evaluate y' at the given point: y+ 2y + 3x = 0; (-1, 1) (5 marks) 5. Find the derivative of: a) f(x)=(1+ex) Inx (5 marks) 7x-x .3 b) f(x) = = (5 marks) 10x+1 c) y = ln(3x+1)4 (5 marks) d) Use implicit differentiation to find y', and evaluate y' at the given point: y+ 2y + 3x = 0; (-1, 1) (5 marks)