PROBLEM 01
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(1 point) Differentiate f(t)=ln(cost). |


PROBLEM 02
| (1 point) If f(x)=6ln(5x+3ln(x)), find f′(x). f′(x)= |


PROBLEM 03
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(1 point) Find y′ if xy=yx. y′= Note: Leave your answer in terms of x and y. |


PROBLEM 04
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(1 point) Find limn→∞(1+xn)n for any x>0. |


PROBLEM 05
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(1 point) Let f(x)=5sin−1(x3)
f′(x)= |


PROBLEM 06
| (1 point) Differentiate y=tan−1(x−1+x2−−−−−√). y′= |


PROBLEM 07
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(1 point) Differentiate y=arctan(cosx). |


PROBLEM 08
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(1 point) Evaluate the following limit. If the answer is positive infinite, type "I"; if negative infinite, type "N"; and if it does not exist, type "D".
limx→∞tan−1(x2−x4)
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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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