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How do you differentiate

0 votes

arcsin(5x)?

asked May 17, 2014 in CALCULUS by anonymous

1 Answer

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The derivative of sin^-1 x = 1/√(1 - x²)

For sin^-1 (5x),

let u = 5x

du/dx = 5

Then d/dx sin^-1 (u) = [1/√(1 - u²)] * du/dx

= 5 / √[1 - (5x)² ]

Therefore d/dx sin^-1 (5x) =  5 / √[1 - (5x)² ]

answered May 19, 2014 by joly Scholar

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