gdg

Question

gdg

anonymous · Answer

Is it -3(2-3x)e^x?

miracrown · Answer

Very close, this is product rule

miracrown · Answer

$$(2-3x)e^x$$
$$(2-3x)^\prime e^x \space + (2-3x) \space (e^x)^\prime$$
$$-3e^x \space + \space  (2-3x)e^x$$

anonymous · Answer

Is my answer still acceptable? Or do i need to rearrange this?

miracrown · Answer

(fg)'=f'g+fg'
first the derivative one times the other, then the derivates of the 
other times the oneso you correctly found the derivative of 2-3x to be -3
and based on your previous solution you also found
the derivative of e^x to be e^x thus by inputting these we find

miracrown · Answer

The 2 solutions won't equal each other unfortunately

miracrown · Answer

this is the solution that you can simplify:
$$-3e^x \space + \space (2-3x)e^x$$

anonymous · Answer

the second derivative?

anonymous · Answer

what would be the 2nd derivative?

miracrown · Answer

take the derivative of the derivative; that is the second derivative

anonymous · Answer

you mean.. Im sorry Imma little bit confused

miracrown · Answer

So the derivative of x^2 is 2x and the derivative of 2x is 2,
 thus the second derivative of x^2 is 2x

miracrown · Answer

sorry, the second derivative of x^2 is 2

anonymous · Answer

second der would be (2-3x)e^x?

miracrown · Answer

Ye

anonymous · Answer

Oh.. the third der would be -3e^x bla bla. Thank you =))

miracrown · Answer

(: