AP Calculus AB Problems with Solutions (Part - 1)

Problem 1 :

Find equations for the lines that are tangent and normal to the graph of y = sin x + 3 at x = 𝜋.

Solution :

Problem 2 :

Show that the graph of y = sec x has a horizontal tangent at x = 0.

Solution :

Problem 3 :

Find equations for the lines that are tangent and normal to the curve y = √2 cos x at the point (𝜋/4, 1).

Solution :

Problem 4 :

Find equations for the lines that are tangent and normal to the curve y = √2 cos x at the point (𝜋/4,1).

Solution :

Problem 5 :

Using the product rule, determine 𝑓′'(x), if 𝑓(x)=sin²x.

Solution :

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