Exercise
Find the derivative of the following function:
f(x)=\frac{x^2}{\ln x+1}
Final Answer
Solution
f(x)=\frac{x^2}{\ln x+1}
Using Derivative formulas and the quotient rule in Derivative Rules, we get the derivative:
f'(x)=\frac{2x(\ln x +1)-x^2\cdot\frac{1}{x}}{{(\ln x+1)}^2}=
One can simplify the derivative:
=\frac{2x\ln x +2x-x}{{(\ln x+1)}^2}=
=\frac{2x\ln x +x}{{(\ln x+1)}^2}
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