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Derivatives / Inverse Trig Functions (6 questions)

QuestionAnswer
Differentiate $\arctan{5x}$ $\frac{5}{1+25x^2}$
Differentiate $\tan^{-1}(x/3)$ $\frac{1}{3(1+\frac{x^2}{9})}$
Differentiate $\arcsin(2x)$ $\frac{2}{\sqrt{1-4x^2}}$
Differentiate $\sin^{-1}(x^2)$ $\frac{2x}{\sqrt{1-x^4}}$
Differentiate $\arcsin(4x)$ $\frac{4}{\sqrt{1-16x^2}}$
Differentiate $8 \arccos(x)$ $\frac{-8}{\sqrt{1-x^2}}$