Answer:
the correct answer is option C because it is maximum at (0,-2)
Step-by-step explanation:
given equation,
y = -x² -2
to find maxima and minima we will differentiate the equation
[tex]\frac{\mathrm{d} y}{\mathrm{d} x}=-x^2-2[/tex]
[tex]\frac{\mathrm{d} y}{\mathrm{d} x}=-2x\\\frac{\mathrm{d} y}{\mathrm{d} x}=-2[/tex]
hence we can see that double differentiation is - ve so the equation will maximum.
hence, now putting value from option C
the value of y comes out to be -2
now, putting value from option D
value of y comes out to be -6
hence, the correct answer is option C because it is maximum at (0,-2)
