AP Calculus AB Problems with Solutions (Part - 4)

Problem 1 :

Write an equation of the tangent line to the graph of

y = x - x²

that is parallel to the line y = 5x - 3.

Solution :

Problem 2 :

Multiple Choice : Find the values where the function pictured above is not differentiable.

A)  x = -3, 3

B)  x = -2, 2

C)  x = -2, 0, 2

D)  x = -3, 0, 3

Solution :

Problem 3 :

Find the fourth derivative of the function :

y = 2x⁶ - 3x⁴ + 3x²

Solution :

Problem 4 :

Write an equation of the tangent line to the graph of

y = 2√x - x + 7

at the point (4, 7).

Solution :

Problem 5 :

Find dy/dx, if y = cot(6x - 3).

Solution :

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