How do you differentiate $y=7sin^-1(10x)$ ?

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How do you differentiate $y=7sin^-1(10x)$ ?

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Answer 1 · 2017-12-15T02:31:45

$70/sqrt(1-100x^2)$

Explanation:

$d/dx arcsin(x) = 1/sqrt(1-x^2)$
$d/dx 7arcsin(10x) = 7 * 1/sqrt(1-(10x)^2) * d/dx (10x)$ (chain rule)
$= 7/sqrt(1-100x^2) * 10$
$= 70/sqrt(1-100x^2)$

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How do you differentiate $y=7sin^-1(10x)$ ?

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