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

Yes. Assuming that I understand your question correctly.

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

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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.

- How do you find the average velocity over an interval?
- What is the equation of the tangent line of #f(x)=(x-1)^3 # at #x=2#?
- For #f(x)=(2x+1)/(x+2) # what is the equation of the tangent line at #x=1#?
- What is the difference between instantaneous velocity and speed?
- What is the equation of the normal line of #f(x)=(x-1)(x-3)(x+2) # at #x=3 #?

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