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Differentiability
Higher Derivatives
MMTS_Full_Test_08
Grade 12

Question:

If $y=e^{a\cos^{-1}x}$, then $(1-x^2)y_2-xy_1=$
$a^2y$
$-a^2y$
$ay$
$0$

Step-by-Step Solution

Key Concept: Differentiate $y=e^{a\cos^{-1}x}$ twice; eliminate exponential
$(1-x^2)y_2-xy_1=a^2y$.
Correct Answer: 1

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