CPM Homework Help : CALC Problem 5-15

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5-15.

Find the second derivative with respect to $x$ for each function.

$y = (x − 10)^2$
Hint (a):
This is the equation of a parabola. The 2nd derivative represents the concavity of the original equation.
Is $y = (x −10)^²$ concave up, concave down or neither?

$g(x) =-5x + 10$
Hint (b):
$g(x)$ is a linear equation.
$g^{\prime\prime}(x)$ represents its concavity.
Is a straight line concave up, concave down or neither?

$y = 5x^8-3x^{-8}$
Hint (c):
Use the Power Rule.

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