Does every point on a differentiable function have a tangent line?

Answer 1

Yes. Assuming that I understand your question correctly.

If function #f# is differentiable at #a#, then there is a line tangent to the graph of #f# at the point #(a, f(a))#.
If #f# is differentiable at #a#, then #f(a)# exists, and, by definition, the slope of the tangent line at #(a, f(a))# is #f'(a)#
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Answer 2

Yes, every point on a differentiable function has a tangent line.

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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.

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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