# What is the equation of the tangent line of #f(x) = e^(x)/(x^2-x# at #x=3#?

For the equation of the tangent line at

The equation will be

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The equation of the tangent line of f(x) = e^(x)/(x^2-x) at x=3 is y = 3e^3/6.

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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 use the definition of a derivative to find the derivative of # f(x) = 10 #?
- What is the instantaneous velocity of an object moving in accordance to # f(t)= (tsin(2t-pi/2),cost) # at # t=(5pi)/4 #?
- What is the slope of the line normal to the tangent line of #f(x) = 1/(x^2-2x+4) # at # x= 3 #?
- What is the equation of the line normal to # f(x)=x/(x^2-2) # at # x=1#?
- What is the equation of the line tangent to # f(x)=-(sinx)/sin^2 x # at # x=1 #?

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