## Related questions with answers

Question

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

$h(x)=x \sqrt{x^2-1}$

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 2Given:

$\begin{aligned} h(x)=x\sqrt{x^2-1} \end{aligned}$

Using a computer algebra system, we found that:

$\begin{aligned} h'(x)&=\frac{2x^2-1}{\sqrt{x^2-1}}\\ h''(x)&=\frac{x\left(2x^2-3\right)}{\left(x^2-1\right)^\frac{3}{2}} \end{aligned}$

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