Implicit form: x-2y3 – 4y= 2 (x's +y's all over, can't solve for y Don't try) Implicit Differentiation Process 1 Differentiate BOTH sides of equation
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AP 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
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AP Calculus BC – Worksheet 16 Implicit Differentiation 1 Consider the curve defined 2 3 2 2 xy x ? = for 0 y a) Show that 2 2 6 2 dy x y
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Worksheet by Kuta Software LLC Kuta Software - Infinite Calculus Implicit Differentiation For each problem, use implicit differentiation to find
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Calculus AB Name____________________________ Implicit Differentiation Worksheet Period 1 Find dx dy at (-2,1), for
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AP Calculus AB Name: Section 3 6 – Implicit Derivatives Worksheet Date: Block: ____ Section 1: Determine the derivative of the function, ?
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the curve Find the x- and y-coordinates of the point on the curve where the tangent line is parallel to chord AB 63 Page 2 Calculus APSI
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CALCULUS Worksheet - Implicit Differentiation D 2) x2 + y2 = 2x + 3 Zy d y = 0 2y d = 1 2x + 2y d y = 2 2y d y = 2-2x XXSXRVICE*XXXXXXXXXXWWW/
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Find the derivative of variety of functions by using the technique of implicit differentiation Consider the equation We want to obtain the derivative
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CALCULUS BC WORKSHEET ON IMPLICIT DIFFERENTIATION AND DEFINIfiON OF DERIVATIVE Work these problems on notebook paper show all work No calculator 0 *t =
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