What is the slope of the line normal to the tangent line of #f(x) = 2x-xsqrt(x^2-1) # at # x= 2 #?
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The slope of the line normal to the tangent line of f(x) = 2x - x√(x^2-1) at x=2 is -1/2.
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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.
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.
- What is the average value of the function #f(x)=2/x # on the interval #[1,10]#?
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- How do you find the slope and tangent line to the curve #y=6-x^2# at x=7?
- What is the instantaneous rate of change of #f(x)=x-e^(x^2-7) # at #x=3 #?
- Does every point on a differentiable function have a tangent line?
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