Differentiate x^4 - 3x^2 + 1
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Differentiate x^4 - 3x^2 + 1
This is a multi-term polynomial derivative.
The easiest route is to differentiate each term separately.
One structured route through this exact problem.
- 1Differentiate x^4 to get 4x^3.
- 2Differentiate -3x^2 to get -6x.
- 3Differentiate the constant 1 to get 0.
- 4So the derivative is 4x^3 - 6x.
Use these quick checks before relying on the route.
- Make sure each term was differentiated separately.
- Check that the constant term disappeared from the final expression.
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