Question

differentiate the following with respect to x: (x^3)(5x + 2)^2
show working please :)

Answer 1

use the product rule... have u tried to do it?

Answer 2

yea but the answer given was factorized differently and i didnt understand

Answer 3

\[\frac{d}{dx}(x^3(5x+2)^2)=3x^2(5x+2)^2+2x^3(5x+2) \times 5\]

Answer 4

\[=3x^2(5x+2)^2+10x^3(5x+2)\]

Answer 5

take (5x+2) as a common factor

Answer 6

\[\huge{(5x+2)(3x^2(5x+2)+10x^3)}\]

Answer 7

\[\huge{=(5x+2)(15x^3+6x^2+10x^3)}\]

Answer 8

lalaly is right .

Answer 9

\[=(5x+2)(15x^3+6x^2)\]

Answer 10

u can also say\[=x^2(5x+2)(15x+6)\]

Answer 11

Thank you so much :D

Answer 12

:D