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What is the equation of the tangent line of #f(x) = (4x)/(x-1)# at #x=0#?

Answer 1

Equation of tangent i.e #dy/dx = f'(x) = -4# at #x=0#

Alright so whenever equation of tangent is required it basically means the derivative of the function, since a point is given it means tangent/derivative at that particular point on the given curve. By using the quotient rule, derivative is taken and put #x = 0# for the required answer.

I hope that's helpful. Regards.

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Answer 2

Isabella Ackerman

The equation of the tangent line of f(x) = (4x)/(x-1) at x=0 is y = -4x.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.