Question

Вычислите значение производной функции y=(8x²+10x+15)², при x=5

Answer 1

y' = 2*(8x^2+10x+15)*(16x+10)
y'(5) = 2*(8*25+50+15)*(80+10) = 47700

Answer 2

$y = {(8 {x}^{2} + 10x + 15 )}^{2}$
Производная:
$2( {8x}^{2} + 10x + 15) \times (16x + 10)$
$2(8 \times 5 ^{2} + 10 \times 5 + 15) \times (16 \times 5 + 10)$
$2(8 \times 25 + 50 + 15)(80 + 10) \\ 2 \times 265 \times 90 = 530 \times 90 = 47700$