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VICSpecialist MathematicsUnit 4: Calculus

Quick questions on Differentiation of inverse circular functions: VCE Specialist Mathematics Unit 4

4short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is mismatched aa?
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In the arctan antiderivative the factor is 1a\frac{1}{a}, and the argument is xa\frac{x}{a}. Keep them consistent.
What is q1?
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Differentiate y=arcsin⁡xy = \arcsin x. [1 mark]
What is q2?
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Differentiate y=arctan⁡(x3)y = \arctan(x^3). [2 marks]
What is q3?
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Evaluate ∫dx25−x2\int\frac{dx}{\sqrt{25 - x^2}}. [2 marks]

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