Differentiate 3x^5 + 2x^2 - 8x
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The specific expression or equation this page is built around.
Differentiate 3x^5 + 2x^2 - 8x
This is still a power-rule problem, just across multiple terms.
Differentiate term by term, then simplify.
One structured route through this exact problem.
- 1Differentiate 3x^5 to get 15x^4.
- 2Differentiate 2x^2 to get 4x.
- 3Differentiate -8x to get -8.
- 4Combine the terms to get 15x^4 + 4x - 8.
Use these quick checks before relying on the route.
- Check that each original coefficient was multiplied by its power.
- Check that every power reduced by exactly 1.
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