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Given ƒ(x) = 2x³ - 4x² - 22x + 24
Determine the 2nd derivative ƒ''(x)

Start ƒ''(x)

Use the power rule

ƒ''(x) of axⁿ = (a * n)x^{(n - 1)}
For this term, a = 2, n = 3
and x is the variable we derive
ƒ''(x) = 2x³
ƒ''(x)( = 2 * 3)x^{(3 - 1)}
ƒ''(x) = 6x²

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Use the power rule

ƒ''(x) of axⁿ = (a * n)x^{(n - 1)}
For this term, a = -4, n = 2
and x is the variable we derive
ƒ''(x) = -4x²
ƒ''(x)( = -4 * 2)x^{(2 - 1)}
ƒ''(x) = -8x

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