Barrons AP Calculus

(Marvins-Underground-K-12) #1




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PRACTICE EXERCISES

Part    A.  Directions: Answer  these   questions   without using   your    calculator.

The slope   of  the curve   y^3     −   xy^2    =   4   at  the point   where   y   =   2   is
−2


2

The slope   of  the curve   y^2     −   xy  −   3x  =   1   at  the point   (0, −1) is
−1
−2
+ 1
2
−3
The equation of the tangent to the curve y = x sin x at the point is
y = x − π
y =
y = π − x
y = x +
y = x

The tangent to  the curve   of  y   =   xe−x    is  horizontal  when    x   is  equal   to
0
1
−1

e
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