Förberedande kurs i matematik 2
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| a)
| \displaystyle \displaystyle\frac{1}{2\sqrt{x}\sqrt{x+1}}
| b)
| \displaystyle \displaystyle - \frac{1}{(x-1)^{3/2}\sqrt{x+1}}
| c)
| \displaystyle \displaystyle - \frac{1-2x^2}{x^2(1-x^2)^{3/2}}
|
| d)
| \displaystyle -\cos\cos\sin x \cdot \sin\sin x \cdot \cos x
| e)
| \displaystyle e^{\sin x^2}\cdot \cos x^2 \cdot 2x
| f)
| \displaystyle \displaystyle x^{\tan x}\Bigl(\frac{\ln x}{\cos^2x}+\frac{\tan x}{x}\Bigr)
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