Question

Determine the derivative of cosx/(1+sinx).​

Answer 1

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• f'(x)=−11+sinx. Explanation: Use the quotient rule to get the derivative. The quotient rule says that if f(x)=g(x)h(x) the derivative f'(x)=g'(x)h(x)−g(x)h'(x)h2(x) In this case g(x)=cosx and h(x)=(1+sinx)

Answer 2

Answer:

$cos(1 + sinx) = 1 + ( \: cos + \: sinx \: )$