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**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**

**QUICK ANSWER…**

**B**

**SOLUTION****… **** **

**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.**

**QUICK TIPS…**

**You may please note the****se/this****:**

**Expanding the bracket and differentiating each unit will also give the same answer, you can choose whichever is convenient for you.**

**Use the questions and answer session to correct, express, and contribute your views.**

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**/ culled from 2019 JAMB-UTME mathematics question 36 /**