Whats the derivative of $sin^-1 * (5x)$ ?

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Answer 1 · 2015-09-27T21:17:14

See explanation

Set $arcsinx=cos^(-1)x$ hence we know that

$d((arcsinx))/dx=1/(sqrt(1-x^2)$

hence for a function $u(x)$

$d(arcsinu(x))/dx=1/sqrt(1-u^2(x))*du/dx$

hence for $u=5x$ we get

$d(arcsin5x)/dx=5/(sqrt(1-25x^2))$

Whats the derivative of sin^-1 * (5x)sin^-1 * (5x)?