If y=e^ 4 x 5 x , then d² y d x² at x=0 is

Step-by-step solution

Given y=e^ 4 x 5 x aligned & dy dx = e ^ 4 x (-5 5 x )+ 5 x (4 e ^ 4 x ) = e ^ 4 x (-5 5 x +4 5 x ) & d ² y dx ² = [ e ^ 4 x (-25 5 x -20 5 x ) ]+ [(-5 5 x +4 5 x ) (4 e ⁴ x ) ] & ( d ² y dx ² )_ x =0 =-25+(4 4)=-25+16=-9 aligned