PROBLEM 01
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(1 point) Differentiate y=103−x2. y′=
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PROBLEM 02
| 1 point) Differentiate y=8cot2(sint). y′= |
PROBLEM 03
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1 point) Differentiate y=x+x√−−−−−−√. y′= |
PROBLEM 04
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(1 point) Suppose L is a function such that L′(x)=1/x for x>0. Find an expression for the derivative of each function below: (a) f′(x)= |
PROBLEM 05
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(1 point) Differentiate y=ex√5. y′= |
PROBLEM 06
| (1 point) By writing |x|=x2−−√ and using the Chain Rule, one can verify that ddx|x|=x|x|. (a) If f(x)=|sinx|, find f′(x). (b) Where is f(x) not differentiable? Merely give the smallest positive value of x. (c) If g(x)=sin|x|, find g′(x). (d) Where is g(x) not differentiable? (a) f′(x)= (b) At x= (c) g′(x)= (d) At x= |
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(張旭微積分上下學期線上課程 |
| webwork、calculus、微積分、calculus微積分解答、微積分詳解、台大微積分、微積分模組班、微積分甲乙 |
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