# How do you find the first and second derivatives of #y = (x^2 + 3) / e^-x# using the quotient rule?

##### 1 Answer

#### Explanation:

Alternatively, you could rewrite the original question as a product and apply the product rule instead of the quotient rule.

STEP 1: Rewrite the original equation

STEP 2: Use the product rule to find the first derivative

STEP 3: Simplify your answer to y'

STEP 4: Use the product rule to find the derivative of the derivative, which will give us y''

Recall the product rule is - the derivative of the 1st term, times the 2nd term PLUS the 1st term times the derivative of the 2nd term

In this question, our 1st term is: e^x; our 2nd term is: x^2 + 2x + 3