Differentiate the following functions with respect to x : (1 + cos x) x

Question

Philoid · Accepted Answer

Let y = (1 + cos x)^x

Taking log both the sides:

⇒ log y = log (1 + cos x)^x

⇒ log y = x log (1+ cos x) {log x^a = alog x}

Differentiating with respect to x:

Put the value of y = (1 + cos x)^x :