MATHEMATICS

JAMB 2011 - Question 36

Mathematics 2011 JAMB Past Questions - Question 36: The derivative of (2x+1)(3x+1) is

The derivative of (2x+1)(3x+1) is
A:
B:
C:
D:
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Correct Answer

D

Explanation

(2x +1) (3x + 1) is2x +1 d(3x +1) /d +(3x +1) d(2x +1) /d2x + 1(3) +(3x+1) (2)6x +3 +6x +2 = 12x +5To find the derivative of the function (2x+1)(3x+1), we can use the product rule.The product rule states that if we have two functions u(x) and v(x), the derivative of their product is given by:(d/dx)(u(x)v(x)) = u'(x)v(x) + u(x)v'(x)In this case, u(x) = 2x+1 and v(x) = 3x+1.Taking the derivatives of u(x) and v(x), we have:u'(x) = 2v'(x) = 3Now, we can apply the product rule:(d/dx)((2x+1)(3x+1)) = (2)(3x+1) + (2x+1)(3)Simplifying:= 6x + 2 + 6x + 3= 12x + 5Therefore, the derivative of (2x+1)(3x+1) is 12x + 5.