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JAMB 1994 · UME · Q39

If y=3t3+2t2−7t+3y = 3t^3 + 2t^2 - 7t + 3, find dydt\frac{dy}{dt} at t=−1t = -1.

Worked solution (try it first)
  1. Differentiate term by term: dydt=9t2+4t−7\frac{dy}{dt} = 9t^2 + 4t - 7.
  2. Put in t=−1t = -1: 9(1)+4(−1)−7=9−4−7=−29(1) + 4(-1) - 7 = 9 - 4 - 7 = -2, option C.

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