# How do you solve the AP Calculus 2013 Free Response question #3? http://media.collegeboard.com/digitalServices/pdf/ap/apcentral/ap13_frq_calculus_ab.pdf

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To solve AP Calculus 2013 Free Response question 3, you would follow the steps outlined in the question prompt provided in the link. Since the solution involves multiple steps and mathematical calculations, it would be best for you to refer directly to the document and follow the instructions provided therein.

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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.

- Quadratics having a common tangent #y = x^2 + ax + b# and #y = cx -x^2# have a common tangent line at the point (1,0), how do you find #a, b# and #c#?
- What is the equation of the line normal to #f(x)=x^2 + sin(x) # at #x=pi#?
- How do you use the definition of a derivative to find the derivative of #f(x) = (x^2 + 2)^2#?
- For #f(x)=e^(xlnx)# what is the equation of the tangent line at #x=1#?
- What is the equation of the tangent line of #f(x) =sin^3x/x^3-sin(2x)/(2x)# at # x = pi/4#?

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