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Question

# Evaluate the second derivative of the function at the given point. Use a computer algebra system to verify your result. $h(x)=\dfrac{1}{9}(3 x+1)^3, \quad\left(1, \dfrac{64}{9}\right)$

Solution

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To obtain the second derivative of the given function at a certain point we must first obtain its general form for any value (where it is defined). To do that we must first obtain its first derivative. This is because the second derivative (by definition) is a derivative of the first derivative, namely:

$h''(x)=(h'(x))'$

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