## Related questions with answers

Question

Use a computer algebra system to find the second derivative of the function. \

$f(x)=6 x^2 e^{-x / 3}$

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 2Given:

$\begin{aligned} f(x)=6x^2e^{-\frac{x}{3}} \end{aligned}$

Using a computer algebra system, we found that:

$\begin{aligned} f'(x)&=-2\left(x-6\right)xe^{-\frac{x}{3}}\\ f''(x)&=\frac{\left(2x^2-24x+36\right)e^{-\frac{x}{3}}}{3} \end{aligned}$

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