<p>Given that&nbsp;$y={{({{\sin }^{-1}}x)}^{2}}$, show that&nbsp;$(1-{{x}^{2}}){{\left(\frac{\mathrm{d}y}{\mathrm{d}x} \right)}^{2}}=4y$ and $(1-{{x}^{2}})\frac{{{\mathrm{d}}^{2}}y}{\mathrm{d}{{x}^{2}}}-x\frac{\mathrm{d}y}{\mathrm{d}x}=2$.</p>

Given that $y={{({{\sin }^{-1}}x)}^{2}}$, show that $(1-{{x}^{2}}){{\left(\frac{\mathrm{d}y}{\mathrm{d}x} \right)}^{2}}=4y$ and $(1-{{x}^{2}})\frac{{{\mathrm{d}}^{2}}y}{\mathrm{d}{{x}^{2}}}-x\frac{\mathrm{d}y}{\mathrm{d}x}=2$.

Techniques of Differentiation

H2 Math

International Baccalaureate Higher Level Mathematics

Techniques of Differentiation

Question 1b11a22f

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