What is the equation of the tangent line of #f(x)=1/x-sqrt(x+1) # at #x=3#?
The Point-Slope form of a line can be used to determine the equation of the tangent line:
This is the graph:
graph{(1/x-sqrt(x+1)-y)((-13/36)x - 7/12 - y)=0 [-.1, 6, -3, 2.368]}
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The equation of tangent line is
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The equation of the tangent line of f(x)=1/x-sqrt(x+1) at x=3 is y = -1/9x + 10/9.
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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.
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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