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Consider the following function of variable r, for r≥0:y(r)=(r^2− 4.00r)exp(−r). Find the value of the first derivative, dy/dr, at r=4.00. Find the value of the second derivative, d^2 y/dr^2, at r=4.00. Find the value of r where y takes its minimum value in the r≥0 interval. Find the value of r where y takes its maximum value in the r≥0 interval.
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