MATHEMATICS IV- ANALYTIC GEOMETRY WITH CALCULUS
THIRD TRIMESTER
ACTIVITY SHEET #8: Implicit Differentiation
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DIRECTIONS: Find
dy
dx
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by implicit differentiation. (22 points)
1.
x 2 + y 2 = 16
4.
x+ y =4
2.
x 3 + y 3 = 8xy
5.
x2 y2 = x2 + y2
3.
1 1
+ =1
x y
PROBLEM SOLVING
6. Find an equation of the tangent line to the curve
16x 4 + y 4 = 32
at the point (1, 2).
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