What are the first and second order conditions to be satisfied for the maximum and minimum value of the function y = f(x)?
1
\(\frac{d y}{d x}=0, \frac{d^{2} y}{d x^{2}}>0\) for max., \(\frac{d^{2} y}{d x^{2}}<0\) for min
2
\(\frac{d y}{d x}=0, \frac{d^{2} y}{d x^{2}}<0\) for max., \(\frac{d^{2} y}{d x^{2}}>0\) for min
3
\(\frac{d y}{d x}=0, \frac{d^{2} y}{d x^{2}}=0\)
4
None of the above