If S = (4t + 3)(t – 2), find ds/dt when t = 5secs.
- A. 50 units per sec
- B. 35 units per sec
- C. 13 units per sec
- D. 22 units per sec
We can resolve this problem with two different methods, whichever way results in the same answer.
Method 1 = carrying out the multiplication and expanding to remove the bracket, and then differentiating the result using normal differentiation formula before substituting t = 5secs to get our answer.
Method 2 = using product rule to differentiate and then substituting t = 5secs.
Here, we are going to use method 2,
Product rule states thus:
Now for the right answer to the above question:
- Option A is incorrect.
- Option B is correct.
- C is incorrect.
- D is not the correct answer.
You may please note these/this:
- Expanding the bracket and differentiating each unit will also give the same answer, you can choose whichever is convenient for you.
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/ culled from 2019 JAMB-UTME mathematics question 36 /