Question

y = (3x + 2)^4(2x - 5)^2
how do i find derivative

Answer 1

Product rule + Chain rule
\[(3 x+2)^4 \left(\frac{d}{dx}\left((2 x-5)^2\right)\right)+(2 x-5)^2 \left(\frac{d}{dx}\left((3 x+2)^4\right)\right)\]
\[4 (2 x-5) (3 x+2)^4+12 (2 x-5)^2 (3 x+2)^3\]
\[4 (2 x-5) (3 x+2)^3 (9 x-13)\]

Answer 2

where did the 4 come from in the beginning

Answer 3

Derivative of x^n = n x^ ( n -1)

Answer 4

ok so how did u get from step 2 to step 3

Answer 5

factorization!