3.5 Logarithmic Differentiation 对数微分法 - 独中课程 | 线上补习

高三数学 | 高级数学

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3.5 Logarithmic Differentiation 对数微分法

Differentiate the following statement
微分下列各式

1) $\sqrt{\frac{(x-1)(x-2)}{(x-3)(x-4)}}$

2) $\frac{\sqrt{x+1}(2-x)^3}{(2x+3)^7}$

3) $x^{e^x}$

*** QuickLaTeX cannot compile formula:
x^{sin x)

*** Error message:
Missing } inserted.
leading text: $x^{sin x)$

5) $(sin x)^x$

$[ln sin x + x cot x](sin x)^x$

6) $({sin}^{-1}{x})^x$