# What is the common tangent to the parabolas #y^2=4ax# and #x^2=4by# ?

and as it is a tangent, we should have discriminant zero i.e.

graph{(y^2-4x)(x^2-8y)(root(3)2y+x+root(3)4)=0 [-5.416, 4.584, -2.8, 2.2]}

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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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- What is a quadratic function with a maximum at #(3, 125)# and roots at #-2# and #8#?
- How do I find all the critical points of #f(x)=x^2+4x-2#?
- What are the conic sections of the following equations #4x ^2 + 4y ^2 - 60=0#?

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