if y=sin^-1(5x), then dy/dx=

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11-11-2016
Mathematics

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if y=sin^-1(5x), then dy/dx=

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Nirina7 Nirina7 · Answer 1 · 2016-11-15T11:44:50-05:00

Nirina7 Nirina7

15-11-2016

first, the main formula is d [sin^-1(u(x))] / dx = u' (x) / sqrt(1 - u^2(x))
let be u(x) = 5x, u'(x) = 5, and u^2(x) = 25x^2
so if If y=sin^-1(5x), then dy/dx= 5/ sqrt (1 - 25x^2)

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