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第4章:坐标变换
Lesson: 3.2 Derivative of Inverse Trigonometric Functions
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3.2 Derivative of Inverse Trigonometric Functions


 
1. Differentiate the following statements with respect to x.
 
(a) 5x sin^{-1}(x^2)
 
(b) \frac{1}{tan^{-1}x}
 

ANSWER :
(a) 5sin^{-1}(x^2) + \frac{10x^2}{\sqrt{1-x^4}}

 

(b) -\frac{1}{(1+x^2)\left(\tan^{-1}{x}\right)^2}

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第4章:坐标变换
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