- Thread starter
- #1

I am working on a rate of change problem and appear stumped with my calculations.

S(T) = (-0.03T^2 + 1.6T - 13.65)^-1

S'(T) = (-1)((-0.03T^2 + 1.6T - 13.65)^-2 (-0.03 (2T) + 1.6))

S'(T) = - (-0.06T + 1.6) / (-0.03T^2 + 1.6T - 13.65)^2

S'(T) = (0.06T-1.6) / (-0.03T^2+1.6T-13.65)^2 = 0

Therefore, 0.06T – 1.6 = 0. From this, we add 1.6 to the right and then divide by 0.06T to get T= 26.67.

When does this rate = 0?