Fiesta 6 : Trigonometric Derivatives, Chain Rule, Derivative As A Function
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AP Calculus | Fiesta 6 | D. Shubleka
Name_____________ Show all your work for full credit. 1. For what values of x does the graph of f ( x ) = x + 2 sin x have a horizontal tangent line? 2. For what values of a and b is the line 2x + y = b tangent to the parabola y = ax 2 when x = 2? 3. Find all points on the graph of the function f ( x) = 2sin x + sin 2 x at which the tangent line is horizontal.
w1000 − 1 . w→1 1 − w
4. Evaluate lim
Name_____________ Show all your work for full credit. 1. For what values of x does the graph of f ( x ) = x + 2 sin x have a horizontal tangent line? 2. For what values of a and b is the line 2x + y = b tangent to the parabola y = ax 2 when x = 2? 3. Find all points on the graph of the function f ( x) = 2sin x + sin 2 x at which the tangent line is horizontal.
w1000 − 1 . w→1 1 − w
4. Evaluate lim
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