Practice question · Select all that apply
Select every function whose derivative is 3x^2.
Hints
- Differentiate each candidate rather than pattern-matching the shape.
- Adding or subtracting a constant does not change a derivative.
Show the answer
- B. x^3 - 2
- C. x^3 + 7
- D. x^3
Why
, and all differentiate to , they are members of one vertical family. gives and 9x gives 9. This is the family that + C names.
Practise Antiderivatives and Indefinite Integrals
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