∫VCE Maths Practice

Practice Progress Season Pass

VCE® is a registered trademark of the Victorian Curriculum and Assessment Authority (VCAA). The VCAA does not endorse or make any warranties regarding this study resource.

Past VCAA examination questions are © VCAA. Hints, practice questions and worked solutions are © VCE Maths Practice.

Specialist2023 Exam 1 · Q4Tech-free3 marks

Implicit differentiation with arcsine

Get help with this question with a Specialist Mathematics Season Pass

Step-by-step hints
Instant answer checking
Worked solutions, VCAA-style marks

Unlock with Season Pass

Consider the relation $x \arcsin(y^2) = \pi$ .

Use implicit differentiation to find $\frac{dy}{dx}$ at the point $\left(6, \frac{1}{\sqrt{2}}\right)$ .

Give your answer in the form $-\frac{\pi\sqrt{a}}{b}$ , where $a, b \in Z^+$ .

3 marks

Hints, answer checking and worked solutions come with a Season Pass.