1. ## Derivative

Hi,

Q1. Find the derivative of y=(3x-2)e^-x

steps and answers would be appreciated,

thanks,

moon

2. Hello,
Originally Posted by Moon Hoplite
Hi,

Q1. Find the derivative of y=(3x-2)e^-x

steps and answers would be appreciated,

thanks,

moon
Note that the derivative of e^(-x) is -e^(-x) (applying the chain rule).

Now use the product rule to find the derivative :
$[uv]'=u'v+uv'$

> $=(3x-2)' e^{-x}+(3x-2) (e^{-x})'=(3) e^{-x}+(3x-2) (-e^{-x})$
$=e^{-x} \left(3-(3x-2)\right)=e^{-x}(-3x+5)$

3. Originally Posted by Moon Hoplite
Hi,

Q1. Find the derivative of y=(3x-2)e^-x

steps and answers would be appreciated,

thanks,

moon
I don't do steps (I have two left feet when it comes to that).

But I would suggest that you carefully apply the product rule, writing down every step in the calculation. Can you state the product rule and show the first few steps of using it in this problem ....?