What is the derivative of this function $(1-sin(x))^(-1/2)$ ?

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Answer 1 · 2016-08-19T13:42:33

$cosx/(2(1-sinx)^(3/2))$

$f(x) = (1-sinx)^(-1/2)$

$f'(x) = -1/2(1-sinx)^(-3/2) * d/dx(1-sinx)$ (Power rule and Chain rule)

$f'(x) = -1/2(1-sinx)^(-3/2) * (0-cosx)$

$f'(x) = cosx/(2(1-sinx)^(3/2))$

What is the derivative of this function (1-sin(x))^(-1/2) (1-sin(x))^(-1/2)?