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Question #d937e

2 Answers

Konstantinos Michailidis

Aug 31, 2016

The general rule for #g(x)=[f(x)]^n# is

#(dg)/dx=n*[f(x)]^(n-1)*((df)/dx)#

hence

#(dy)/dx=5*(cosx/(1+sinx))^4*(-1/(1+sinx))#

#(dy)/dx=-5*(cosx)^4/(1+sinx)^5#

Sep 13, 2016

#(-5cos^4 x)/(1+sinx)^5#

Explanation:

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