Differentiate the function? f(x) = ln(x^6 + 4)

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Answer 1 · 2017-10-26T11:40:37

The answer is #=(6x^5)/(x^6+4)#

Apply the following (chain rule) for the differentiation

#f(x)=ln(u(x))#

#f'(x)=1/(u(x))*u'(x)#

Here,

#f(x)=ln(x^6+4)#

#f'(x)=1/(x^6+4)*(x^6+4)'#

#=(6x^5)/(x^6+4)#