AP® CALCULUS AB 2015 SCORING GUIDELINES Question 6 2 : implicit differentiation In this problem students were given the equation of a curve, 3
PDF2015 APE CALCULUS AB FREE-RESPONSE QUESTIONS Full AP Free Response on Implicit Differentiation! 6 Consider the curve given by the equation
PDFImplicit Differentiation The AP Calculus Exams include multiple-choice and free-response questions in which students are
PDFb Write an equation of each horizontal tangent line to the curve c The line through the origin with slope –1 is tangent to the curve at point P Find
PDFAP Calculus AB – Free Response Question Review #2 Differentiation NO CALCULATOR IS ALLOWED FOR THIS QUESTION 1 The graphs of the function f and its
PDFAP Calculus AB – Worksheet 32 Implicit Differentiation Find dy dx 1 x2 y + xy2 = 6 2 y2 = x −1 x +1 3 x = tan y 4 x + sin y = xy 5 x2 − xy = 5
PDFImplicit Differentiation Process 2 3 4 3x² Factor out Solve for dy ² − 3 (x² ¹ dx dy 3x²-3x² Differentiate BOTH sides of equation with respect to
PDFPART I: Implicit Differentiation we do so, the process is called “implicit differentiation ” Related rates problems can be identified by their
PDF1998 AP Calculus AB Scoring Guidelines 6 Consider the curve defined by 1: implicit differentiation 2015 AP® CALCULUS AB FREE-RESPONSE QUESTIONS
PDFthat are not solved for are called implicit functions For instance, the equation + 2 − 3 = 0 implies that is a function of , even though it is not
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