.) Write the equation of the normal line of f(x)=2x^2-1/x at x=1? b.) Let y=4x^4+x. At what point is the tangent line to the graph perpendicular to the line tangent to the graph at (0,0)? c.) What is the equation of the tangent f(x)=4x^2+2x-1 at x=0?

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A: On solving this we will get

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A: A detailed solution is given below     (As per our guidelines, we have to solve only one question)

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Q: %3D

A: Solving

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A: Topic = Functions

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A: y=xx+1y'=12x(x+1)-x(1)(x+1)2y'=12x(x+1)-x(x+1)2At x=4, y'=124(4+1)-4(4+1)2=54-225=-3425=-3100

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A: I have appended the formula used in the solution part.

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