# What is the equation of the line tangent to #f(x)= -1/(5x-x^2) # at #x=-3#?

Tangent Line

determine the point of tangency

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The equation of the line tangent to f(x) = -1/(5x-x^2) at x = -3 is y = -1/12(x+3) - 1/36.

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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.

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.

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.

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