Question

what is the second derivative of e to the power ax into sin(6x+c)​

Answer 1

Step-by-step explanation:

let y = e^ax sin(6x+c)

y' = ae^ax sin (6x+c) + 6e^ax cos( 6x+c)

= e^ax [ asin ( 6x+c) +6 cos( 6x+c) ]

y" = ae^ax [ asin(6x+c)+6cos(6x+c)]

+ e^ax[ 6acos( 6x+c) - 36sin(6x+c)]

= e^ax[ ( a²-36) sin( 6x+c) + 12acos(6x+c)]

Answer