About Lesson
3.5 Logarithmic Differentiation 对数微分法
Differentiate the following statement
微分下列各式
1)
Answer :
2) ![Rendered by QuickLaTeX.com \frac{\sqrt{x+1}(2-x)^3}{(2x+3)^7}](https://learn-ondemand.com/wp-content/ql-cache/quicklatex.com-8efdfcbbb08ff743603946939f9334c1_l3.png)
![Rendered by QuickLaTeX.com \frac{\sqrt{x+1}(2-x)^3}{(2x+3)^7}](https://learn-ondemand.com/wp-content/ql-cache/quicklatex.com-8efdfcbbb08ff743603946939f9334c1_l3.png)
Answer :
3) ![Rendered by QuickLaTeX.com x^{e^x}](https://learn-ondemand.com/wp-content/ql-cache/quicklatex.com-23e6d189c4d33c87548c891204005dc2_l3.png)
![Rendered by QuickLaTeX.com x^{e^x}](https://learn-ondemand.com/wp-content/ql-cache/quicklatex.com-23e6d189c4d33c87548c891204005dc2_l3.png)
Answer :
4)
*** QuickLaTeX cannot compile formula: x^{sin x) *** Error message: Missing } inserted. leading text: $x^{sin x)$
Answer :
5) ![Rendered by QuickLaTeX.com (sin x)^x](https://learn-ondemand.com/wp-content/ql-cache/quicklatex.com-b6ff08f300cbbc450779fe920652a4cd_l3.png)
![Rendered by QuickLaTeX.com (sin x)^x](https://learn-ondemand.com/wp-content/ql-cache/quicklatex.com-b6ff08f300cbbc450779fe920652a4cd_l3.png)
Answer :
![Rendered by QuickLaTeX.com [ln sin x + x cot x](sin x)^x](https://learn-ondemand.com/wp-content/ql-cache/quicklatex.com-a4a17c5a3698cc63e9d9cf998e3d0f2d_l3.png)
6) ![Rendered by QuickLaTeX.com ({sin}^{-1}{x})^x](https://learn-ondemand.com/wp-content/ql-cache/quicklatex.com-66265e8a957aaa7db3700b4a2a23b8ad_l3.png)
![Rendered by QuickLaTeX.com ({sin}^{-1}{x})^x](https://learn-ondemand.com/wp-content/ql-cache/quicklatex.com-66265e8a957aaa7db3700b4a2a23b8ad_l3.png)