How to solve
The second derivative differentiates the first derivative again — measuring how the slope itself changes.
Steps
- Find f' with the power rule.
- Differentiate f' again.
- Keep track of falling exponents.
Example
f(x) = x³ + 4x². Find f''(x).
- f' = 3x² + 8x.
- f'' = 6x + 8.
Answer: 6x+8
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