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ddxarcsin(b+kcosxk+cosx)\frac{d}{dx}arcsin\left(\frac{b+kcosx}{k+cosx}\right)

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Final answer to the exercise

k(−k−cos⁡(x))sin⁡(x)+(b+kcos⁡(x))sin⁡(x)1−(b+kcos⁡(x)k+cos⁡(x))2(k+cos⁡(x))2\frac{k\left(-k-\cos\left(x\right)\right)\sin\left(x\right)+\left(b+k\cos\left(x\right)\right)\sin\left(x\right)}{\sqrt{1-\left(\frac{b+k\cos\left(x\right)}{k+\cos\left(x\right)}\right)^2}\left(k+\cos\left(x\right)\right)^2}

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27,73+ 8,006− 15,07627,73+\:8,006-\:15,076
ddx arcsin(b+kcosxk+cosx )
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