Question

Suppose that f(x)=9x^2*ln(x), x>0 (A) List all the critical values of f(x). Note: If there ara nn critinal uali 'es, enter 'NONE',

Answer 1

Hi,

Explanation:

There is a minimum for x=0.1353...

`y=9x^2*ln(x)\\\\y'=18x*ln(x)+9x^2*1/x=0\\\\18x*ln(x)=-9*x\\\\ln(x)=-(1)/(2) \\\\x=(1)/(e^2) \approx{0.13533..}`