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Exercise

$\frac{d^2}{dx^2}\arctan\left(\sin\left(x\right)\right)$

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Final answer to the exercise

$\frac{\left(-1-\sin\left(x\right)^2\right)\sin\left(x\right)-2\cos\left(x\right)^2\sin\left(x\right)}{\left(1+\sin\left(x\right)^2\right)^2}$

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  • Find the derivative using the definition
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  • Integrate by partial fractions
  • Product of Binomials with Common Term
  • FOIL Method
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