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

1 Answer

Aug 19, 2016

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

Explanation:

#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))#

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