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1 of 8 0-day streak

Differentiate inverse circular functions with exact domains

Question 1 of 8

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Use principal inverse circular functions and radian angles

\[f(x)=-\arcsin(x+2)+2\]

For the denominator polynomial Lx²+Mx+N, expand exactly 1−u(x)² for arcsin or arccos, or 1+u(x)² for arctan, where u(x) is the affine input shown. Do not rescale or factor out a constant from this polynomial

\[f'(x)=\frac{K}{(Lx^2+Mx+N)^p}\]
5 marks

Enter exact values in the labelled fields. The displayed template and any stated denominator normalisation specify the answer form