托马斯微积分-Thomas`CALCULUS课后习题答案quizforderivative.doc

1. is differentiable at x=1.
2. Let be a function satisfying for ,then must be differentiable at x=0.
3. is continuous at x= a , then it must be differentiable at x= a .
,then .
5. must have a local extreme value at x= a if .
6. is an odd differentiable function ,then must be an even function.
II Fill in the blank
The slope of tangent line to the parametric curve is -------
The radius of a circle is changing at the rate of when R= 10 m, then the circle’s area changing at the rate---------------that time.
a particle moving along the curves in the first quadrant in such away that its distance from the origin increases at the rate of 11 units/sec , then -----------when x= 3.
.
III
Using implicit differentiation to find of .
Show that the function has exactly one zero in .

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