Question

Calculate the derivative. g′′ (0),g(s)= eˢ /s+9


​

Answer 1

To calculate g′′(0), find the second derivative of the function g(s) = eˢ / (s + 9) by following the steps: find the first derivative, find the second derivative, and substitute s = 0.

Step-by-step explanation:

To calculate the derivative g′′(0), we need to find the second derivative of the function g(s) = eˢ / (s + 9). Here are the steps:

1. First, find the first derivative of g(s) using the quotient rule: g′(s) = (eˢ(s + 9) - eˢ) / (s + 9)².
2. Next, find the second derivative by taking the derivative of g′(s). Simplify the expression to get g′′(s) = (eˢ(s + 9)² - 2eˢ(s + 9) + 2eˢ) / (s + 9)³.
3. Finally, substitute s = 0 into the expression to find g′′(0). This will give you the value of the second derivative at s = 0.

By following these steps, you can calculate g′′(0) for the given function.