Differentiate ((2x+5)^{2} (x-4)) with respect to x.
-
A.
4(2x+5)(x-4) -
B.
4(2x+5)(4x-3) -
C.
(2x+5)(2x-13) -
D.
(2x+5)(6x-11)
Correct Answer: Option D
Explanation
(y = (2x + 5)^{2} (x – 4))
(frac{mathrm d y}{mathrm d x} = (2x + 5)^{2} (1) + (x – 4)(2)(2)(2x + 5))
= ((2x + 5)(2x + 5 + 4x – 16))
= ((2x + 5)(6x – 11))