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Question
Find the derivatives of the following:
sin-1 (3x – 4x3)
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Solution
Let y = sin–1 (3x – 4x3)
Put x = sin θ
y = sin–1 (3 sin θ – 4 sin3 θ)
y = sin–1 (sin 3θ)
y = 3θ
y = 3 sin–1x
`("d"y)/("d"x) = 3/sqrt(1 - x^2)`
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