Product Rule worksheets
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Find dy/dx by Implicit Differentiation
x3 +y3 = 36
6 -x
3x2 +3y2
0
2xy3 - x2y = 2
If x2 + xy = 10, then when x = 2, dy/dx =
-7/2
2/7
3/2
7/2
Find dy/dx for 5x2 - xy - 4y2 = -4
(x+8y)/(10x-y)
(10x-y)/(x+8y)
2
(10x+y)/(x-8y)
Find the slope of the tangent line at the given point
x3 +2xy -y2=11 at (2,3)
-4/7
12
-9
9
Use implicit differentiation to write the equation of the tangent line to the curve at the given point.
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